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## References

Abbiendi G et al (2006) Measurement of the running of the QED coupling in small-angle Bhabha scattering at LEP. Eur Phys J C 45:1–21. https://doi.org/10.1140/epjc/s2005-02389-3. arXiv:hep-ex/0505072

Abbott BP, Abbott R, Abbott TD, Abernathy MR, Acernese F et al (2016) Observation of gravitational waves from a binary black hole merger. Phys Rev Lett 116(6):061102. https://doi.org/10.1103/physrevlett.116.061102

Abbott BP et al (2017a) A gravitational-wave standard siren measurement of the Hubble constant. Nature 551(7678):85–88. https://doi.org/10.1038/nature24471. arXiv:1710.05835 [astro-ph.CO]

Abbott BP et al (2017b) GW170817: observation of gravitational waves from a binary neutron star inspiral. Phys Rev Lett 119(16):161101. https://doi.org/10.1103/PhysRevLett.119.161101. arXiv:1710.05832 [gr-qc]

Abdalla E et al (2022) Cosmology intertwined: a review of the particle physics, astrophysics, and cosmology associated with the cosmological tensions and anomalies. JHEAp 34:49–211. https://doi.org/10.1016/j.jheap.2022.04.002. arXiv:2203.06142 [astro-ph.CO]

Abel C et al (2020) Measurement of the permanent electric dipole moment of the neutron. Phys Rev Lett 124(8):081803. https://doi.org/10.1103/PhysRevLett.124.081803. arXiv:2001.11966 [hep-ex]

Abgrall M, Chupin B, Sarlo LD, Guéna J, Laurent P, Coq YL, Targat RL, Lodewyck J, Lours M, Rosenbusch P, Rovera GD, Bize S (2015) Atomic fountains and optical clocks at SYRTE: status and perspectives. C R Phys 16(5):461–470. https://doi.org/10.1016/j.crhy.2015.03.010

Accetta FS, Krauss LM, Romanelli P (1990) New limits on the variability of G from Big Bang nucleosynthesis. Phys Lett B 248:146

Achard P et al (2005) Measurement of the running of the electromagnetic coupling at large momentum-transfer at LEP. Phys Lett B 623:26–36. https://doi.org/10.1016/j.physletb.2005.07.052. arXiv:hep-ex/0507078

Acquaviva V, Baccigalupi C, Leach SM, Liddle AR, Perrotta F (2005) Structure formation constraints on the Jordan–Brans–Dicke theory. Phys Rev D 71:104025. https://doi.org/10.1103/PhysRevD.71.104025. arXiv:astro-ph/0412052

Adame AG et al (2025) DESI 2024 IV: baryon acoustic oscillations from the Lyman alpha forest. JCAP 01:124. https://doi.org/10.1088/1475-7516/2025/01/124. arXiv:2404.03001 [astro-ph.CO]

Adams FC (2008) Stars in other universes: stellar structure with different fundamental constants. JCAP 2008(08):010. https://doi.org/10.1088/1475-7516/2008/08/010. arXiv:0807.3697 [astro-ph]

Adams FC (2019) The degree of fine-tuning in our universe—and others. Phys Rept 807:1–111. https://doi.org/10.1016/j.physrep.2019.02.001. arXiv:1902.03928 [astro-ph.CO]

Adams FC, Howe AR, Grohs E, Fuller GM (2021) Effects of bound diprotons and enhanced nuclear reaction rates on stellar evolution. Astropart Phys 130:102584. https://doi.org/10.1016/j.astropartphys.2021.102584. arXiv:2103.15744 [astro-ph.CO]

Ade P et al (2014) Planck intermediate results. XVI. Profile likelihoods for cosmological parameters. Astron Astrophys 566:A54. https://doi.org/10.1051/0004-6361/201323003. arXiv:1311.1657 [astro-ph.CO]

Ade P et al (2015) Planck intermediate results. XXIV. Constraints on variations in fundamental constants. Astron Astrophys 580:A22. https://doi.org/10.1051/0004-6361/201424496. arXiv:1406.7482 [astro-ph.CO]
Adelberger EG (2001) New tests of Einstein's equivalence principle and Newton's inverse-square law. Class Quantum Grav 18:2397-2405. https://doi.org/10.1088/0264-9381/18/13/302

Aeppli A, Kim K, Warfield W, Safronova MS, Ye J (2024) Clock with $8 \times 10^{-19}$ systematic uncertainty. Phys Rev Lett 133:023401. https://doi.org/10.1103/PhysRevLett.133.023401

Afach S et al (2021) Search for topological defect dark matter with a global network of optical magnetometers. Nature Phys 17(12):1396-1401. https://doi.org/10.1038/s41567-021-01393-y. arXiv:2102.13379 [astro-ph.CO]

Agafonova II, Molaro P, Levshakov SA, Hou JL (2011) First measurement of Mg isotope abundances at high redshifts and accurate estimate of Delta alpha/alpha. Astron Astrophys 529:A28. https://doi.org/10.1051/0004-6361/201016194. arXiv:1102.2967 [astro-ph.CO]

Agafonova II et al (2024) Hyperfine structure of the methanol molecule as traced by Class I methanol masers. Mon Not R Astron Soc 533(2):1714-1732. https://doi.org/10.1093/mnras/stae1815. arXiv:2407.11657 [astro-ph.GA]

Aghanim N et al (2020) Planck 2018 results. VI. Cosmological parameters. Astron Astrophys 641:A6. https://doi.org/10.1051/0004-6361/201833910. [Erratum: Astron. Astrophys. 652, C4 (2021)], arXiv:1807.06209 [astro-ph.CO]

Agrawal V, Barr SM, Donoghue JF, Seckel D (1998a) Anthropic considerations in multiple-domain theories and the scale of electroweak symmetry breaking. Phys Rev Lett 80:1822. https://doi.org/10.1103/PhysRevLett.80.1822. arXiv:hep-ph/9801253

Agrawal V, Barr SM, Donoghue JF, Seckel D (1998b) Viable range of the mass scale of the standard model. Phys Rev D 57:5480-5492. https://doi.org/10.1103/PhysRevD.57.5480. arXiv:hep-ph/9707380

Aguirre A (2007) Making predictions in a multiverse: conundrums, dangers, coincidences. In: Carr BJ (ed) Universe or multiverse? Cambridge University Press, Cambridge, pp 367-386 arXiv:astro-ph/0506519

Aiola S, Wang B, Kosowsky A, Kahniashvili T, Firouzjahi H (2015) Microwave background correlations from dipole anisotropy modulation. Phys Rev D 92:063008. https://doi.org/10.1103/PhysRevD.92.063008. arXiv:1506.04405 [astro-ph.CO]

Alam S et al (2017) The clustering of galaxies in the completed SDSS-III baryon oscillation spectroscopic survey: cosmological analysis of the DR12 galaxy sample. Mon Not R Astron Soc 470(3):2617-2652. https://doi.org/10.1093/mnras/stx721. arXiv:1607.03155 [astro-ph.CO]

Albareti FD, Comparat J, Gutiérrez CM, Prada F, Páris I, Schlegel D, López-Corredoira M, Schneider DP, Manchado A, García-Hernández DA, Petitjean P, Ge J (2015) Constraint on the time variation of the fine-structure constant with the SDSS-III/BOSS DR12 quasar sample. Mon Not R Astron Soc 452(4):4153-4168. https://doi.org/10.1093/mnras/stv1406. arXiv:1501.00560 [astro-ph.CO]

Albers H, Herbst A, Richardson L et al (2020) Quantum test of the Universality of Free Fall using rubidium and potassium. Eur Phys J D 174(145):1. https://doi.org/10.1140/epjd/e2020-10132-6

Albornoz Vásquez D, Rahmani H, Noterdaeme P, Petitjean P, Srianand R, Ledoux C (2014) Molecular hydrogen in the $z_{abs} = 2.66$ damped Lyman-$\alpha$ absorber towards Q J 0643-5041: physical conditions and limits on the cosmological variation of the proton-to-electron mass ratio. Astron Astrophys 562:A88. https://doi.org/10.1051/0004-6361/201322544. arXiv:1310.8569 [astro-ph.CO]

Albuquerque RG, Holanda R, Mendonça I, da Silva P (2025) Cosmological bounds on a possible electron-to-proton mass ratio variation and constraints in the lepton specific 2HDM. Astropart Phys 168:103090. https://doi.org/10.1016/j.astropartphys.2025.103090. arXiv:2407.08921 [hep-ph]

Alestas G, Perivolaropoulos L, Tanidis K (2022) Constraining a late time transition of $G_{eff}$ using low-$z$ galaxy survey data. Phys Rev D 106(2):023526. https://doi.org/10.1103/PhysRevD.106.023526. arXiv:2201.05846 [astro-ph.CO]

Alighanbari A, Giri G, Constantin F, Korobov V, Schiller S (2020) Precise test of quantum electrodynamics and determination of fundamental constants with HD$^+$ ions. Nature 581:152-158. https://doi.org/10.1038/s41586-020-2261-5

Allehabi SO, Dzuba VA, Flambaum VV (2024) High-accuracy optical clocks with sensitivity to the fine-structure constant variation based on $Sm^{10+}$. JQSRT 328:109151. https://doi.org/10.1016/j.jqsrt.2024.109151. arXiv:2404.00854 [hep-ph]

Alonso I et al (2022) Cold atoms in space: community workshop summary and proposed road-map. EPJ Quant Technol 9(1):30. https://doi.org/10.1140/epjqt/s40507-022-00147-w. arXiv:2201.07789 [astro-ph.IM]
Althaus LG, Corsico AH, Torres S, Loren-Aguilar P, Isern J, Garcia-Berro E (2011) The evolution of white dwarfs with a varying gravitational constant. Astron Astrophys 527:A72. https://doi.org/10.1051/0004-6361/201015849. arXiv:1101.0986 [astro-ph.SR]

Aluri PK et al (2023) Is the observable Universe consistent with the cosmological principle? Class Quant Grav 40(9):094001. https://doi.org/10.1088/1361-6382/acbefc. arXiv:2207.05765 [astro-ph.CO]

Alves CS, Leite A, Martins C, Silva TA, Berge SA, Silva B (2018) Current and future constraints on extended Bekenstein-type models for a varying fine-structure constant. Phys Rev D 97(2):023522. https://doi.org/10.1103/PhysRevD.97.023522. arXiv:1801.08089 [astro-ph.CO]

Alvey J, Sabti N, Escudero M, Fairbairn M (2020) Improved BBN constraints on the variation of the gravitational constant. Eur Phys J C 80(2):148. https://doi.org/10.1140/epjc/s10052-020-7727-y. arXiv:1910.10730 [astro-ph.CO]

Amarilla L, Vucetich H (2010) Brane-world cosmology and varying G. Int J Mod Phys A 25:3835-3856. https://doi.org/10.1142/S0217751X10049700. arXiv:0908.2949

Amendola L, Baldi M, Wetterich C (2008) Quintessence cosmologies with a growing matter component. Phys Rev D 78:023015. https://doi.org/10.1103/PhysRevD.78.023015. arXiv:0706.3064 [astro-ph]

Amendola L, Sawicki I, Kunz M, Saltas ID (2018) Direct detection of gravitational waves can measure the time variation of the Planck mass. JCAP 08:030. https://doi.org/10.1088/1475-7516/2018/08/030. arXiv:1712.08623 [astro-ph.CO]

Anchordoqui L, Goldberg H (2003) Time variation of the fine structure constant driven by quintessence. Phys Rev D 68:083513. https://doi.org/10.1103/PhysRevD.68.083513. arXiv:hep-ph/0306084

Anchordoqui L, Barger V, Goldberg H, Marfatia D (2008) Phase transition in the fine structure constant. Phys Lett B 660:529 arXiv:0711.4055 [hep-ph]

Anderson JD, Campbell JK, Jurgens RF, Lau EL (1992) Recent developments in solar-system tests of general relativity. In: Sato H, Nakamura T (eds) The sixth marcel Grossmann meeting: on recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories. World Scientific, Singapore, pp 353-355

Angstmann EJ, Dzuba VA, Flambaum VV (2004) Atomic clocks and the search for variation of the fine structure constant. Phys Rev A 70:014102. https://doi.org/10.1103/PhysRevA.70.014102. arXiv: physics/0407141

Antoniou I, Perivolaropoulos L (2010) Searching for a cosmological preferred axis: union 2 data analysis and comparison with other probes. JCAP 12:012. https://doi.org/10.1088/1475-7516/2010/12/012. arXiv:1007.4347 [astro-ph.CO]

Arai K, Hashimoto M, Fukui T (1987) Primordial nucleosynthesis in the Brans-Dicke theory with a variable cosmological term. Astron Astrophys 179:17

Arnold R et al (2021) Search for periodic modulations of the rate of double-beta decay of ¹⁰⁰ Mo in the NEMO-3 detector. Phys Rev C 104(6):L061601. https://doi.org/10.1103/PhysRevC.104.L061601. arXiv:2011.07657 [nucl-ex]

Arvanitaki A, Huang J, Van Tilburg K (2015) Searching for Dilaton dark matter with atomic clocks. Phys Rev D 91(1):015015. https://doi.org/10.1103/PhysRevD.91.015015. arXiv:1405.2925 [hep-ph]

Arvanitaki A, Dimopoulos S, Van Tilburg K (2016) Sound of dark matter: searching for light scalars with resonant-mass detectors. Phys Rev Lett 116(3):031102. https://doi.org/10.1103/PhysRevLett.116.031102. arXiv:1508.01798 [hep-ph]

Asenbaum P, Overstreet C, Kim M, Curti J, Kasevich MA (2020) Atom-interferometric test of the equivalence principle at the 10⁻¹² level. Phys Rev Lett 125:191101. https://doi.org/10.1103/PhysRevLett.125.191101

Ashby N, Heavner TP, Jefferts SR, Parker TE, Radnaev AG, Dudin YO (2007) Testing local position invariance with four cesium-fountain primary frequency standards and four NIST hydrogen masers. Phys Rev Lett 98:070802. https://doi.org/10.1103/PhysRevLett.98.070802

Ashby N, Parker TE, Patla BR (2018) A null test of general relativity based on a long-term comparison of atomic transition frequencies. Nature Phys 14(8):822-826. https://doi.org/10.1038/s41567-018-0156-2

Ashenfelter T, Mathews GJ, Olive KA (2004) The chemical evolution of Mg isotopes vs. the time variation of the fine structure constant. Phys Rev Lett 92:041102. https://doi.org/10.1103/PhysRevLett.92.041102. arXiv:astro-ph/0309197

Audi G (2006) The history of nuclidic masses and of their evaluation. Int J Mass Spectrom 251:85-94. https://doi.org/10.1016/j.ijms.2006.01.048. arXiv:physics/0602050
Avelino PP (2008) On the cosmological evolution of alpha and mu and the dynamics of dark energy. Phys Rev D 78:043516. https://doi.org/10.1103/PhysRevD.78.043516. arXiv:0804.3394 [astro-ph]

Avelino PP, Sousa L (2015) Observational constraints on varying-alpha domain walls. Universe 1(1):6–16. https://doi.org/10.3390/universe1010006. arXiv:1404.3419 [astro-ph.CO]

Avelino PP, Martins C, Rocha G (2000) Looking for a varying $\alpha$ in the cosmic microwave background. Phys Rev D 62:123508. https://doi.org/10.1103/PhysRevD.62.123508. arXiv:astro-ph/0008446

Avelino PP, Esposito S, Mangano G, Martins C, Melchiorri A, Miele G, Pisanti O, Rocha G, Viana P (2001) Early-universe constraints on a time-varying fine structure constant. Phys Rev D 64:103505. https://doi.org/10.1103/PhysRevD.64.103505. arXiv:astro-ph/0102144

Avelino PP, Martins C, Nunes NJ, Olive KA (2006) Reconstructing the dark energy equation of state with varying constant. Phys Rev D 74:083508. https://doi.org/10.1103/PhysRevD.74.083508. arXiv:astro-ph/0605690

Avelino PP, Losano L, Menezes R, Oliveira J (2012) Assessing the viability of successful reconstruction of the dynamics of dark energy using varying fundamental couplings. Phys Lett B 717:313–318. https://doi.org/10.1016/j.physletb.2012.09.062. arXiv:1112.3878 [astro-ph.CO]

Baeßler S, Heckel BR, Adelberger EG, Gundlach JH, Schmidt U, Swanson HE (1999) Improved test of the equivalence principle for gravitational self-energy. Phys Rev Lett 83:3585–3588. https://doi.org/10.1103/PhysRevLett.83.3585

Bagdonaite J (2015) Search for a variation of the proton-electron mass ratio from molecular hydrogen and methanol. PhD thesis, Vrije U., Amsterdam

Bagdonaite J, Murphy MT, Kaper L, Ubachs W (2012) Constraint on a variation of the proton-to-electron mass ratio from H2 absorption towards quasar Q2348-011. Mon Not R Astron Soc 421:419. https://doi.org/10.1111/j.1365-2966.2011.20319.x. arXiv:1112.0428 [astro-ph.CO]

Bagdonaite J, Daprà M, Jansen P, Bethlem HL, Ubachs W, Muller S, Henkel C, Menten KM (2013a) Robust constraint on a drifting proton-to-electron mass ratio at $z = 0.89$ from methanol observation at three radio telescopes. Phys Rev Lett 111:231101. https://doi.org/10.1103/PhysRevLett.111.231101. arXiv:1311.3438 [astro-ph.CO]

Bagdonaite J, Jansen P, Henkel P, Bethlem H, Menten K, Ubachs W (2013b) A stringent limit on a drifting proton-to-electron mass ratio from alcohol in the early universe. Science 339:46–48. https://doi.org/10.1126/science.1224898

Bagdonaite J, Salumbides EJ, Preval SP, Barstow MA, Barrow JD, Murphy MT, Ubachs W (2014a) Limits on a gravitational field dependence of the proton-electron mass ratio from H₂ in white dwarf stars. Phys Rev Lett 113(12):123002. https://doi.org/10.1103/PhysRevLett.113.123002. arXiv:1409.1000 [gr-qc]

Bagdonaite J, Ubachs W, Murphy MT, Whitmore JB (2014b) Analysis of molecular hydrogen absorption toward QSO B0642-5038 for a varying proton-to-electron mass ratio. Astrophys J 782(1):10. https://doi.org/10.1088/0004-637X/782/1/10. arXiv:1308.1330 [astro-ph.CO]

Bagdonaite J, Ubachs W, Murphy MT, Whitmore JB (2015) Constraint on a varying proton-electron mass ratio 1.5 billion years after the Big Bang. Phys Rev Lett 114(7):071301. https://doi.org/10.1103/PhysRevLett.114.071301. arXiv:1501.05533 [astro-ph.CO]

Bahcall JN, Schmidt M (1967) Does the fine-structure constant vary with cosmic time? Phys Rev Lett 19:1294–1295. https://doi.org/10.1103/PhysRevLett.19.1294

Bahcall JN, Steinhardt CL, Schlegel D (2004) Does the fine-structure constant vary with cosmological epoch? Astrophys J 600:520. https://doi.org/10.1086/379971. arXiv:astro-ph/0301507

Bai Y, Han Z (2009) Measuring the dark force at the LHC. Phys Rev Lett 103:051801. https://doi.org/10.1103/PhysRevLett.103.051801. arXiv:0902.0006 [hep-ph]

Bainbridge MB, Webb JK (2017) Artificial intelligence applied to the automatic analysis of absorption spectra. Objective measurement of the fine structure constant. Mon Not R Astron Soc 468(2):1639–1670. https://doi.org/10.1093/mnras/stx179

Bainbridge MB et al (2017) Probing the gravitational dependence of the fine-structure constant from observations of white dwarf stars. Universe 3(2):32. https://doi.org/10.3390/universe3020032. arXiv:1702.01757 [astro-ph.CO]

Baker T, Bellini E, Ferreira PG, Lagos M, Noller J, Sawicki I (2017) Strong constraints on cosmological gravity from GW170817 and GRB 170817A. Phys Rev Lett 119(25):251301. https://doi.org/10.1103/PhysRevLett.119.251301. arXiv:1710.06394 [astro-ph.CO]

Ballardini M, Finelli F, Sapone D (2022) Cosmological constraints on the gravitational constant. JCAP 06(06):004. https://doi.org/10.1088/1475-7516/2022/06/004. arXiv:2111.09168 [astro-ph.CO]
Ballesteros G, Notari A, Rompineve F (2020) The $H_0$ tension: $\Delta G_N$ vs. $\Delta N_{eff}$. JCAP 11:024. https://doi.org/10.1088/1475-7516/2020/11/024. arXiv:2004.05049 [astro-ph.CO]

Bamba K, Nojiri S, Odintsov SD (2012) Domain wall solution in $F(R)$ gravity and variation of the fine structure constant. Phys Rev D 85:044012. https://doi.org/10.1103/PhysRevD.85.044012. arXiv:1107.2538 [hep-th]

Bambi C (2014) Constraining possible variations of the fine structure constant in strong gravitational fields with the Kz iron line. JCAP 03:034. https://doi.org/10.1088/1475-7516/2014/03/034. arXiv:1308.2470 [gr-qc]

Bambi C, Drago A (2008) Constraints on temporal variation of fundamental constants from GRBs. Astropart Phys 29:223. https://doi.org/10.1016/j.astropartphys.2008.02.001. arXiv:0711.3569 [hep-ph]

Banerjee A, Budker D, Filzinger M, Huntemann N, Paz G, Perez G, Porsev S, Safronova M (2023a) Oscillating nuclear charge radii as sensors for ultralight dark matter. arXiv e-prints arXiv:2301.10784 [hep-ph]

Banerjee A, Perez G, Safronova M, Savoray I, Shalit A (2023b) The phenomenology of quadratically coupled ultra light dark matter. JHEP 10:042. https://doi.org/10.1007/JHEP10(2023)042. arXiv:2211.05174 [hep-ph]

Barbieri R, Savastano S, Speri L, Antonelli A, Sberna L, Burke O, Gair J, Tamanini N (2023) Constraining the evolution of Newton's constant with slow inspirals observed from spaceborne gravitational-wave detectors. Phys Rev D 107(6):064073. https://doi.org/10.1103/PhysRevD.107.064073. arXiv:2207.10674 [gr-qc]

Barnes LA (2012) The fine-tuning of the universe for intelligent life. Publ Astron Soc Austral 29:529. https://doi.org/10.1071/AS12015. arXiv:1112.4647 [physics.hist-ph]

Barnes LA (2015) Binding the diproton in stars: anthropic limits on the strength of gravity. JCAP 12:050. https://doi.org/10.1088/1475-7516/2015/12/050. arXiv:1512.06090 [astro-ph.SR]

Barnes LA (2017) Testing the multiverse: bayes, fine-tuning and typicality. In: Philosophy of cosmology UK/US conference, pp 447–466. https://doi.org/10.1017/9781316535783.023. arXiv:1704.01680 [astro-ph.CO]

Barnes LA (2018) Fine-tuning in the context of bayesian theory testing. Eur J Philos Sci 8:253–269. https://doi.org/10.1007/s13194-017-0184-2. arXiv:1707.03965 [physics.hist-ph]

Barnes LA (2022) The fine-tuning of the universe for life. In: Knox E, Wilson A (eds) The Routledge companion to philosophy of physics. Routledge, New York, p 52 arXiv:2110.07783 [physics.hist-ph]

Barnes LA, Lewis GF (2017) Producing the deuteron in stars: anthropic limits on fundamental constants. JCAP 07:036. https://doi.org/10.1088/1475-7516/2017/07/036. arXiv:1703.07161 [astro-ph.CO]

Barontini G et al (2021) QSNET, a network of clocks for measuring the stability of fundamental constants. Proc SPIE Int Soc Opt Eng 11881:63. https://doi.org/10.1117/12.2600493. arXiv:2110.05944 [hep-ph]

Barontini G et al (2022) Measuring the stability of fundamental constants with a network of clocks. EPJ Quant Technol 9(1):12. https://doi.org/10.1140/epjqt/s40507-022-00130-5. arXiv:2112.10618 [hep-ph]

Barros BJ, da Fonseca V (2023) Coupling quintessence kinetics to electromagnetism. JCAP 06:048. https://doi.org/10.1088/1475-7516/2023/06/048. arXiv:2209.12189 [astro-ph.CO]

Barrow JD (1978) A cosmological limit on the possible variation of $G$. Mon Not R Astron Soc 184:677

Barrow JD (1983) Natural units before Planck. Quart J R Astron Soc 24:24–26

Barrow JD (1987) Observational limits on the time evolution of extra spatial dimensions. Phys Rev D 35:1805. https://doi.org/10.1103/PhysRevD.35.1805

Barrow JD (2002) The constants of nature: from alpha to omega—the numbers that encode the deepest secrets of the universe. Jonathan Cape, London

Barrow JD (2005a) Cosmological bounds on spatial variations of physical constants. Phys Rev D 71:083520. https://doi.org/10.1103/PhysRevD.71.083520. arXiv:astro-ph/0503434

Barrow JD (2005b) Varying constants. Philos Trans R Soc London Ser A 363:2139 arXiv:astro-ph/0511440

Barrow JD, Li B (2008) Varying-alpha cosmologies with potentials. Phys Rev D 78:083536. https://doi.org/10.1103/PhysRevD.78.083536. arXiv:0808.1580 [gr-qc]

Barrow JD, Magueijo J (2000) Can a changing $\alpha$ explain the Supernovae results? Astrophys J 532:L87. https://doi.org/10.1086/312572. arXiv:astro-ph/9907354
Barrow JD, Magueijo J (2005) Cosmological constraints on a dynamical electron mass. Phys Rev D 72:043521. https://doi.org/10.1103/PhysRevD.72.043521. arXiv:astro-ph/0503222

Barrow JD, Shaw DJ (2008) Varying-alpha: new constraints from seasonal variations. Phys Rev D 78:067304. https://doi.org/10.1103/PhysRevD.78.067304. arXiv:0806.4317 [hep-ph]

Barrow JD, Tipler FJ (1986) The anthropic cosmological principle. Oxford University Press, Oxford

Baryakhtar M, Simon O, Weiner ZJ (2024) Cosmology with varying fundamental constants from hyperlight, coupled scalars. Phys Rev D 110(8):083505. https://doi.org/10.1103/PhysRevD.110.083505. arXiv:2405.10358 [astro-ph.CO]

Battye RA, Crittenden R, Weller J (2001) Cosmic concordance and the fine structure constant. Phys Rev D 63:043505. https://doi.org/10.1103/PhysRevD.63.043505. arXiv:astro-ph/0008265

Bauch A, Weyers S (2002) New experimental limit on the validity of local position invariance. Phys Rev D 65:081101R. https://doi.org/10.1103/PhysRevD.65.081101

Bauer M, Chakraborti S (2024) On the validity of bounds on light axions for $f \sim 10^{15}$ GeV. arXiv e-prints arXiv:2408.06408 [hep-ph]

Bean R, Flanagan EE, Laszlo I, Trodden M (2008) Constraining interactions in cosmology's dark sector. Phys Rev D 78:123514. https://doi.org/10.1103/PhysRevD.78.123514. arXiv:0808.1105 [astro-ph]

Beane SR, Savage MJ (2003) Variation of fundamental couplings and nuclear forces. Nucl Phys A 717:91. https://doi.org/10.1016/S0375-9474(02)01268-X. arXiv:hep-ph/0206113

Beck BR, Becker JA, Beiersdorfer P, Brown GV, Moody KJ, Wilhelm JB, Porter FS, Kilbourne CA, Kelley RL (2007) Energy splitting of the ground-state doublet in the nucleus Th-229. Phys Rev Lett 98:142501. https://doi.org/10.1103/PhysRevLett.98.142501

Bedaque PF, Luu T, Platter L (2011) Kruskal mass variation constraints from Big Bang nucleosynthesis. Phys Rev C 83:045803. https://doi.org/10.1103/PhysRevC.83.045803. arXiv:1012.3840 [nucl-th]

Beeks K, Sikorsky T, Schumm T et al (2021) The thorium-229 low-energy isomer and the nuclear clock. Nat Rev Phys 3:238–248. https://doi.org/10.1038/s42254-021-00286-6

Beeks K et al (2024) Fine-structure constant sensitivity of the Th-229 nuclear clock transition. arXiv e-prints arXiv:2407.17300 [nucl-th]

Bégué D, Stahl C, Xue SS (2019) A model of interacting dark fluids tested with supernovae and baryon acoustic oscillations data. Nucl Phys B 940:312–320. https://doi.org/10.1016/j.nuclphysb.2019.01.001. arXiv:1702.03185 [astro-ph.CO]

Bekenstein JD (1982) Fine-structure constant: is it really a constant. Phys Rev D 25:1527. https://doi.org/10.1103/PhysRevD.25.1527

Bekenstein JD (2002) Fine-structure constant variability, equivalence principle and cosmology. Phys Rev D 66:123514. https://doi.org/10.1103/PhysRevD.66.123514

Bekenstein JD, Schiffer M (2009) Varying-fine structure 'constant' and charged black-hole. Phys Rev D 80:123508. https://doi.org/10.1103/PhysRevD.80.123508. arXiv:0906.4557 [gr-qc]

Belenchia A et al (2022) Quantum physics in space. Phys Rept 951:1–70. https://doi.org/10.1016/j.physrep.2021.11.004. arXiv:2108.01435 [quant-ph]

Belgacem E et al (2019) Testing modified gravity at cosmological distances with LISA standard sirens. JCAP 07:024. https://doi.org/10.1088/1475-7516/2019/07/024. arXiv:1906.01593 [astro-ph.CO]

Bellinger EP, Christensen-Dalsgaard J (2019) Asteroseismic constraints on the cosmic-time variation of the gravitational constant from an ancient main-sequence star. Astrophys J Lett 887(1):L1. https://doi.org/10.3847/2041-8213/ab43e7. arXiv:1909.06378 [astro-ph.SR]

Beloy K, Borschevsky A, Schwerdtfeger P, Flambaum VV (2010) Enhanced sensitivity to the time variation of the fine-structure constant and $m_p/m_e$ in diatomic molecules: a closer examination of silicon monobromide. Phys Rev A 82:022106. https://doi.org/10.1103/PhysRevA.82.022106. arXiv:1007.0393 [physics.atom-ph]

Beloy K, Borschevsky A, Flambaum VV, Schwerdtfeger P (2011a) Effect of $\alpha$ variation on a prospective experiment to detect variation of $m_e/m_p$ in diatomic molecules. Phys Rev A 84:042117. https://doi.org/10.1103/PhysRevA.84.042117

Beloy K, Kozlov MG, Borschevsky A, Hauser AW, Flambaum VV, Schwerdtfeger P (2011b) Rotational spectrum of molecular ion $NH^+$ as a probe for $\alpha$– and $m_e/m_p$-variation. Phys Rev A 83:062514. https://doi.org/10.1103/PhysRevA.83.062514. arXiv:1105.3530 [physics.atom-ph]

Benvenuto OG, García-Berro E, Isern J (2004) Asteroseismology bound on $\dot{G}/G$ from pulsating white dwarfs. Phys Rev D 69:082002. https://doi.org/10.1103/PhysRevD.69.082002
Berengut JC, Flambaum VV (2010) Astronomical and laboratory searches for space-time variation of fundamental constants. J Phys Conf Ser 264:012010. https://doi.org/10.1088/1742-6596/264/1/012010. arXiv:1009.3693 [physics.atom-ph]

Berengut JC, Flambaum VV (2012) Manifestations of a spatial variation of fundamental constants on atomic clocks, Oklo, meteorites, and cosmological phenomena. Europhys Lett 97:20006. https://doi.org/10.1209/0295-5075/97/20006. arXiv:1008.3957 [physics.atom-ph]

Berengut JC, Dzuba VA, Flambaum VV, Kozlov MG (2004) Configuration-interaction calculation for the isotope shift in Mg I. Phys Rev A 69:044102. https://doi.org/10.1103/PhysRevA.69.044102. arXiv:physics/0312137

Berengut JC, Dzuba VA, Flambaum VV, Kozlov MG, Marchenko MV, Murphy MT, Webb JK (2006) Laboratory spectroscopy and the search for space-time variation of the fine structure constant using QSO spectra. arXiv e-prints arXiv:physics/0408017

Berengut JC, Dzuba VA, Flambaum VV, Porsev SG (2009) A proposed experimental method to determine $\alpha$-sensitivity of splitting between ground and 7.6 eV isomeric states in $^{229}$Th. Phys Rev Lett 102:210801. https://doi.org/10.1103/PhysRevLett.102.210801. arXiv:0903.1891 [physics.atom-ph]

Berengut JC, Dzuba VA, Flambaum VV (2010a) Enhanced laboratory sensitivity to variation of the fine-structure constant using highly charged ions. Phys Rev Lett 105:120801. https://doi.org/10.1103/PhysRevLett.105.120801. arXiv:1007.1068 [physics.atom-ph]

Berengut JC, Flambaum VV, Dmitriev VF (2010b) Effect of quark-mass variation on Big Bang nucleosynthesis. Phys Lett B 683:114 arXiv:0907.2288 [nucl-th]

Berengut JC, Flambaum VV, King JA, Curran SJ, Webb JK (2011) Is there further evidence for spatial variation of fundamental constants? Phys Rev D 83(12):123506. https://doi.org/10.1103/PhysRevD.83.123506. arXiv:1009.0591 [astro-ph.CO]

Berengut JC, Kava EM, Flambaum VV (2012) A reanalysis of quasar absorption spectra results suggesting a spatial gradient in values of the fine-structure constant. Astron Astrophys 542:A118. https://doi.org/10.1051/0004-6361/201219286. arXiv:1203.5891 [astro-ph.CO]

Berengut JC, Epelbaum E, Flambaum VV, Hanhart C, Meissner UG, Nebreda J, Pelaez JR (2013a) Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis. Phys Rev D 87(8):085018. https://doi.org/10.1103/PhysRevD.87.085018. arXiv:1301.1738 [nucl-th]

Berengut JC, Flambaum VV, Ong A, Webb JK, Barrow JD, Barstow MA, Preval SP, Holberg JB (2013b) Limits on the dependence of the fine-structure constant on gravitational potential from white-dwarf spectra. Phys Rev Lett 111(1):010801. https://doi.org/10.1103/PhysRevLett.111.010801. arXiv:1305.1337 [astro-ph.CO]

Bergé J (2023) MICROSCOPE's view at gravitation. Rept Prog Phys 86(6):066901. https://doi.org/10.1088/1361-6633/acd203

Bergé J, Brax P, Métris G, Pernot-Borràs M, Touboul P, Uzan JP (2018a) MICROSCOPE mission: first constraints on the violation of the weak equivalence principle by a light scalar Dilaton. Phys Rev Lett 120(14):141101. https://doi.org/10.1103/PhysRevLett.120.141101. arXiv:1712.00483 [gr-qc]

Bergé J, Brax P, Pernot-Borràs M, Uzan JP (2018b) Interpretation of geodesy experiments in non-Newtonian theories of gravity. Class Quant Grav 35(23):234001. https://doi.org/10.1088/1361-6382/aae9a1. arXiv:1808.00340 [gr-qc]

Bergé J, Pernot-Borràs M, Uzan JP, Brax P, Chhun R, Métris G, Rodrigues M, Touboul P (2022) MICROSCOPE's constraint on a short-range fifth force. Class Quant Grav 39(20):204010. https://doi.org/10.1088/1361-6382/abe142. arXiv:2102.00022 [gr-qc]

Bergman P, Parise B, Liseau R, Larsson B, Olofsson H, Menten KM, Gusten R (2011) Detection of interstellar hydrogen peroxide. Astron Astrophys 531:L8. https://doi.org/10.1051/0004-6361/201117170. arXiv:1105.5799 [astro-ph.GA]

Bergström L, Igiuri S, Rubinstein H (1999) Constraints on the variation of the fine structure constant from Big Bang nucleosynthesis. Phys Rev D 60:045005. https://doi.org/10.1103/PhysRevD.60.045005. arXiv:astro-ph/9902157

Berke DA, Murphy MT, Flynn C, Liu F (2022a) Probing galactic variations in the fine-structure constant using solar twin stars: methodology and results. Mon Not R Astron Soc 519(1):1238–1252. https://doi.org/10.1093/mnras/stac2458. arXiv:2210.08275 [astro-ph.SR]

Berke DA, Murphy MT, Flynn C, Liu F (2022b) Probing galactic variations in the fine-structure constant using solar twin stars: Systematic errors. Mon Not R Astron Soc 519(1):1221–1237. https://doi.org/10.1093/mnras/stac2037. arXiv:2210.08276
Bernus L, Minazzoli O, Fienga A, Hees A, Gastineau M, Laskar J, Deram P, Di Ruscio A (2022) Constraining massless Dilaton theory at solar system scales with the planetary ephemeris INPOP. Phys Rev D 105(4):044057. https://doi.org/10.1103/PhysRevD.105.044057. arXiv:2301.01186 [gr-qc]

Bertolami O, Lehnert R, Potting R, Ribeiro A (2004) Cosmological acceleration, varying couplings, and Lorentz breaking. Phys Rev D 69:083513. https://doi.org/10.1103/PhysRevD.69.083513. arXiv:astro-ph/0310344

Bertotti B, Iess L, Tortora P (2003) A test of general relativity using radio links with the Cassini spacecraft. Nature 425:374–376. https://doi.org/10.1038/nature01997

Bianchi E, Rovelli C (2010) Why all these prejudices against a constant? arXiv e-prints arXiv:1002.3966 [astro-ph.CO]

Biesheuvel J, Karr J, Hilico L et al (2016) Probing QED and fundamental constants through laser spectroscopy of vibrational transitions in HD+. Nat Commun 7:10385. https://doi.org/10.1038/ncomms10385

Biesiada M, Malec B (2004) A new white dwarf constraint on the rate of change of the gravitational constant. Mon Not R Astron Soc 350:644. https://doi.org/10.1111/j.1365-2966.2004.07677.x. arxiv:astro-ph/0303489

BIPM (2006) The International System of Units (SI). Technical report, Bureau International des Poids et Mesures, Sèvres. http://www.bipm.org/en/si/si_brochure/

BIPM (2024) Le Système international d’unités / The International System of Units, 9th edn. Bureau International des Poids et Mesures. https://www.bipm.org/en/publications/si-brochure

Birge RT (1929) Probable values of the general physical constants. Rev Mod Phys 1:1

Birrell J, Yang CT, Rafelski J (2014) Relic neutrino freeze-out: dependence on natural constants. Nucl Phys B 890:481–517. https://doi.org/10.1016/j.nuclphysb.2014.11.020. arXiv:1406.1759 [nucl-th]

Biskupek L, Müller J, Torre JM (2021) Benefit of new high-precision LLR data for the determination of relativistic parameters. Universe 7(2):34. https://doi.org/10.3390/universe7020034. arXiv:2012.12032 [gr-qc]

Bize S (2019) The unit of time: present and future directions. C R Phys 20:153–168. https://doi.org/10.1016/j.crhy.2019.02.002. arXiv:1910.12118 [physics.atom-ph]

Bize S, Diddams SA, Tanaka U, Tanner CE, Oskay WH, Drullinger RE, Parker TE, Heavner TP, Jefferts SR, Hollberg L, Itano WM, Bergquist JC (2003) Testing the stability of fundamental constants with $^{199}$Hg$^+$ single-ion optical clock. Phys Rev Lett 90:150802. https://doi.org/10.1103/PhysRevLett.90.150802. arxiv:physics/0212109

Bize S, Laurent P, Abgrall M, Marion H, Maksimovic I, Cacciapuoti L, Grünert J, Vian C, Pereira dos Santos F, Rosenbusch P, Lemonde P, Santarelli G, Wolf P, Clairon A, Luiten A, Tobar M, Salomon C (2005) Cold atom clocks and applications. J Phys B At Mol Opt Phys 38:S449–S468. https://doi.org/10.1088/0953-4075/38/9/002. arxiv:physics/0502117

Bjorken JD (2001) Standard model parameters and the cosmological constant. Phys Rev D 64:085008. https://doi.org/10.1103/PhysRevD.64.085008. arxiv:hep-ph/0103349

Blanchet L (2006) Gravitational radiation from post-Newtonian sources and inspiralling compact binaries. Living Rev Relativ 9:4. https://doi.org/10.12942/lrr-2006-4. arxiv:gr-qc/0202016

Blas D, Ivanov MM, Sawicki I, Sibiryakov S (2016) On constraining the speed of gravitational waves following GW150914. JETP Lett 103(10):624–626. https://doi.org/10.7868/S0370274X16100039. arXiv:1602.04188 [gr-qc]

Blatt S, Ludlow AD, Campbell GK, Thomsen JW, Zelevinsky T, Boyd MM, Ye J, Baillard X, Fouché M, Le Targat R, Brusch A, Lemonde P, Takamoto M, Hong FL, Katori H, Flambaum VV (2008) New limits on coupling of fundamental constants to gravity using $^{87}$Sr optical lattice clocks. Phys Rev Lett 100:140801. https://doi.org/10.1103/PhysRevLett.100.140801. arXiv:0801.1874 [physics.atom-ph]

Blaum K, Budker D, Surzhykov A, Ullrich J (2019) The revised SI: fundamental constants, basic physics and units. Ann Phys 531(5):1900148. https://doi.org/10.1002/andp.201900148

Blomqvist M et al (2019) Baryon acoustic oscillations from the cross-correlation of Ly$\alpha$ absorption and quasars in eBOSS DR14. Astron Astrophys 629:A86. https://doi.org/10.1051/0004-6361/201935641. arXiv:1904.03430 [astro-ph.CO]

Bohlin R, Jenkins EB, Spitzer L Jr, York DG, Hill JK, Savage BD, Snow TP Jr (1983) A survey of ultraviolet interstellar absorption lines. Astrophys J Suppl Ser 51:277–308. https://doi.org/10.1086/190850
Bonanno A, Fröhlich HE (2020) A new Helioseismic constraint on a cosmic-time variation of G. Astrophys J Lett 893(2):L35. https://doi.org/10.3847/2041-8213/ab86b9. arXiv:1707.01866 [astro-ph.SR]

Bonifacio P, Molaro P, Sivaramani T, Cayrel R, Spite M, Spite F, Plez B, Andersen J, Barbuy B, Beers TC, Depagne E, Hill V, François P, Nordström B, Primas F (2007) First stars VII-lithium in extremely metal poor dwarfs. Astron Astrophys 462:851–864. https://doi.org/10.1051/0004-6361:20064834. arXiv:astro-ph/0610245

Bonnin A, Zahzam N, Bidel Y, Bresson A (2013) Simultaneous dual-species matter-wave accelerometer. Phys Rev A 88:043615. https://doi.org/10.1103/PhysRevA.88.043615

Bonnin A, Zahzam N, Bidel Y, Bresson A (2015) Characterization of a simultaneous dual-species atom interferometer for a quantum test of the weak equivalence principle. Phys Rev A 92:023626. https://doi.org/10.1103/PhysRevA.92.023626

Bora K, Desai S (2021) Constraints on variation of fine structure constant from joint SPT-SZ and XMM-Newton observations. JCAP 02:012. https://doi.org/10.1088/1475-7516/2021/02/012. arXiv:2008.10541 [astro-ph.CO]

Bostrom N (2002) Anthropic bias: observation selection effects in science and philosophy. Routledge, New York

Bouchendira R, Cladé P, Guellati-Khélifa S, Nez F, Biraben F (2013) State of the art in the determination of the fine structure constant: test of quantum electrodynamics and determination of $h/m_μ$. Ann Phys 525(7):484–492. https://doi.org/10.1002/andp.201300044. arXiv:1309.3393 [quant-ph]

Boudjaaba F, Gaille M (2019) De la mesure en toutes choses. CNRS Editions, Paris

Bousso R, Polchinski J (2000) Quantization of four-form fluxes and dynamical neutralization of the cosmological constant. J High Energy Phys 2000(06):006. https://doi.org/10.1088/1126-6708/2000/06/006. arXiv:hep-th/0004134

Bousso R, Hall LJ, Nomura Y (2009) Multiverse understanding of cosmological coincidences. Phys Rev D 80:063510. https://doi.org/10.1103/PhysRevD.80.063510. arXiv:0902.2263 [hep-th]

Braginskii VB, Panov VI (1971) Verification of equivalence of inertial and gravitational masses. Zh Eksp Teor Fiz 61:873–879

Braglia M, Ballardini M, Emond WT, Finelli F, Gumrukcuoglu AE, Koyama K, Paoletti D (2020) Larger value for $H_0$ by an evolving gravitational constant. Phys Rev D 102(2):023529. https://doi.org/10.1103/PhysRevD.102.023529. arXiv:2004.11161 [astro-ph.CO]

Braglia M, Ballardini M, Finelli F, Koyama K (2021) Early modified gravity in light of the $H_0$ tension and LSS data. Phys Rev D 103(4):043528. https://doi.org/10.1103/PhysRevD.103.043528. arXiv:2011.12934 [astro-ph.CO]

Brans C, Dicke RH (1961) Mach's principle and a relativistic theory of gravitation. Phys Rev 124:925–935. https://doi.org/10.1103/PhysRev.124.925

Brax P (2014) Environmental variation of constants in screened modified theories of gravity. Phys Rev D 90(2):023505. https://doi.org/10.1103/PhysRevD.90.023505. arXiv:1310.2562 [astro-ph.CO]

Brax P, Burrage C (2011) Atomic precision tests and light scalar couplings. Phys Rev D 83:035020. https://doi.org/10.1103/PhysRevD.83.035020

Brax P, Martin J (2007a) Dark energy and the MSSM. Phys Rev D 75:083507. https://doi.org/10.1103/PhysRevD.75.083507. arXiv:hep-th/0605228

Brax P, Martin J (2007b) Moduli fields as quintessence and the chameleon. Phys Lett B 647:320 arXiv:hep-th/0612208

Brax P, van de Bruck C, Davis AC, Khoury J, Weltman A (2004) Detecting dark energy in orbit: the cosmological chameleon. Phys Rev D 70:123518. https://doi.org/10.1103/PhysRevD.70.123518. arXiv:astro-ph/0408415

Brax P, van de Bruck C, Davis AC, Mota DF, Shaw D (2007) Detecting chameleons through Casimir force measurements. Phys Rev D 76(12):124034. https://doi.org/10.1103/PhysRevD.76.124034

Brax P, van de Bruck C, Davis AC, Shaw D (2010a) The Dilaton and modified gravity. Phys Rev D 82:063519. https://doi.org/10.1103/PhysRevD.82.063519. arXiv:1005.3735 [astro-ph.CO]

Brax P, van de Bruck C, Mota DF, Nunes NJ, Winther HA (2010) Chameleons with field-dependent couplings. Phys Rev D 82:083503. https://doi.org/10.1103/PhysRevD.82.083503. arXiv:1006.2796 [astro-ph.CO]

Brax P, Burrage C, Davis AC, Seery D, Weltman A (2011) Anomalous coupling of scalars to gauge fields. Phys Lett B 699:5–9. https://doi.org/10.1016/j.physletb.2011.03.047. arXiv:1010.4536 [hep-th]
Brax P, Burrage C, Davis AC (2018) Laboratory constraints. Int J Mod Phys D 27(15):1848009. https://doi.org/10.1142/S0218271818480097

Brax P, Fischer H, Käding C, Pitschmann M (2022) The environment dependent Dilaton in the laboratory and the solar system. Eur Phys J C 82(10):934. https://doi.org/10.1140/epjc/s10052-022-10905-w. arXiv:2203.12512 [gr-qc]

Brax P, Burgess CP, Quevedo F (2023a) Light axiodilatons: matter couplings, weak-scale completions and long-distance tests of gravity. JCAP 08:011. https://doi.org/10.1088/1475-7516/2023/08/011. arXiv:2212.14870 [hep-ph]

Brax P, Burrage C, Cembranos J, Valageas P (2023b) Invisible Dilaton. Phys Rev D 107(9):095015. https://doi.org/10.1103/PhysRevD.107.095015. arXiv:2303.14469 [hep-ph]

Brax P, Davis AC, Elder B (2023c) Screened scalar fields in hydrogen and muonium. Phys Rev D 107(4):044008. https://doi.org/10.1103/PhysRevD.107.044008. arXiv:2207.11633 [hep-ph]

Brax P, Burgess CP, Quevedo F (2024) Axio-chameleons: a novel string-friendly multi-field screening mechanism. JCAP 03:015. https://doi.org/10.1088/1475-7516/2024/03/015. arXiv:2310.02092 [hep-th]

Brewer SM, Chen JS, Hankin AM, Clements ER, Chou CW, Wineland DJ, Hume DB, Leibrandt DR (2019) $^{27}$Al$^{+}$ quantum-logic clock with a systematic uncertainty below $10^{-18}$. Phys Rev Lett 123:033201. https://doi.org/10.1103/PhysRevLett.123.033201

Briddon C, Burrage C, Moss A, Tamosiunas A (2021) SELCIE: a tool for investigating the chameleon field of arbitrary sources. JCAP 12(12):043. https://doi.org/10.1088/1475-7516/2021/12/043. arXiv:2110.11917 [gr-qc]

Briesmeister J (2000) A general Monte Carlo N-particle transport code, Version 4C. Tech Rep LA-13709-M. Los Alamos National Laboratory

Bronnikov KA, Kononogov SA (2006) Possible variations of the fine structure constant $\alpha$ and their metrological significance. Metrologia 43:R1. https://doi.org/10.1088/0026-1394/43/5/R01. arxiv:gr-qc/0604002

Bronnikov KA, Melnikov VN, Rubin SG, Svadkovsky IV (2013) Nonlinear multidimensional gravity and the Australian dipole. Gen Rel Grav 45:2509-2528. https://doi.org/10.1007/s10714-013-1601-2. arXiv:1301.3098 [gr-qc]

Brower R, Chandrasekharan S, Negele JW, Wiese UJ (2003) QCD at fixed topology. Phys Lett B 560:64-74. https://doi.org/10.1016/S0370-2693(03)00369-1. arXiv:hep-lat/0302005

Brown RC et al (2017) Hyperpolarizability and operational magic wavelength in an optical lattice clock. Phys Rev Lett 119(25):253001. https://doi.org/10.1103/PhysRevLett.119.253001. arXiv:1708.08829 [physics.atom-ph]

Brzeminski D, Chacko Z, Dev A, Flood I, Hook A (2022) Searching for a fifth force with atomic and nuclear clocks. Phys Rev D 106(9):095031. https://doi.org/10.1103/PhysRevD.106.095031. arXiv:2207.14310 [hep-ph]

Budker D, Eby J, Safronova MS, Tretiak O (2025) Search for fast-oscillating fundamental constants with space missions. EPJ Quant Technol 12(1):39. https://doi.org/10.1140/epjqt/s40507-025-00339-0. arXiv:2408.10324 [hep-ph]

Burgess CP, Quevedo F (2022) Axion homeopathy: screening Dilaton interactions. JCAP 04(04):007. https://doi.org/10.1088/1475-7516/2022/04/007. arXiv:2110.10352 [hep-th]

Burgess CP, Dineen D, Quevedo F (2022) Yoga dark energy: natural relaxation and other dark implications of a supersymmetric gravity sector. JCAP 03(03):064. https://doi.org/10.1088/1475-7516/2022/03/064. arXiv:2111.07286 [hep-th]

Burns AK, Tait T, Valli M (2024) PRyMordial: the first three minutes, within and beyond the standard model. Eur Phys J C 84(1):86. https://doi.org/10.1140/epjc/s10052-024-12442-0. arXiv:2307.07061 [hep-ph]

Burrage C, Sakstein J (2018) Tests of chameleon gravity. Living Rev Relativ 21:1. https://doi.org/10.1007/s41114-018-0011-x. arXiv:1709.09071 [astro-ph.CO]

Burrage C, Copeland EJ, Stevenson J (2015) Ellipticity weakens chameleon screening. Phys Rev D 91:065030. https://doi.org/10.1103/PhysRevD.91.065030. arXiv:1412.6373 [hep-th]

Byrne M, Kolda C (2004) Quintessence and varying $\alpha$ from shape moduli. arXiv e-prints arXiv:hep-ph/0402075

Cabré A, Vikram V, Zhao GB, Jain B, Koyama K (2012) Astrophysical tests of gravity: a screening map of the nearby universe. JCAP 07:034-034. https://doi.org/10.1088/1475-7516/2012/07/034
Cabre A, Vikram V, Zhao GB, Jain B, Koyama K (2012) Astrophysical tests of modified gravity: a screening map of the nearby universe. JCAP 07:034. https://doi.org/10.1088/1475-7516/2012/07/034. arXiv:1204.6046 [astro-ph.CO]

Calladine C, Drew H (1992) Understanding DNA: the molecules and how it works. Academic Press, New York

Calmet X (2020) Cosmological time evolution of the Higgs mass and gravitational waves. Int J Mod Phys A 35(02n03):2040035. https://doi.org/10.1142/S0217751X20400357. arXiv:1910.00534 [hep-ph]

Calmet X, Fritzsch H (2002a) Symmetry breaking and time variation of gauge couplings. Phys Lett B 540:173 [arxiv:hep-ph/0204258]

Calmet X, Fritzsch H (2002b) The cosmological evolution of the nucleon mass and the electroweak coupling constants. Eur Phys J C 24:639-642. https://doi.org/10.1007/s10052-002-0976-0. arxiv:hep-ph/0112110

Calmet X, Fritzsch H (2006) A time variation of proton-electron mass ratio and grand unification. Europhys Lett 76:1064. https://doi.org/10.1209/epl/i2006-10393-0. arXiv:astro-ph/0605232

Campbell BA, Olive KA (1995) Nucleosynthesis and the time dependence of fundamental couplings. Phys Lett B 345:429-434 [arxiv:hep-ph/9411272]

Campbell CJ, Radnaev AG, Kuzmich A, Dzuba VA, Flambaum VV, Derevianko A (2012) A single-ion nuclear clock for metrology at the 19th decimal place. Phys Rev Lett 108:120802. https://doi.org/10.1103/PhysRevLett.108.120802. arXiv:1110.2490 [physics.atom-ph]

Caputo A, Gazit D, Hammer HW, Kopp J, Paz G, Perez G, Springmann K (2024) On the sensitivity of nuclear clocks to new physics. arXiv e-prints arXiv:2407.17526 [hep-ph]

Carilli CL, Menten KM, Stocke JT, Perlman E, Vermeulen R, Briggs F, de Bruyn AG, Conway J, Moore CP (2000) Astronomical constraints on the cosmic evolution of the fine structure constant and possible quantum dimensions. Phys Rev Lett 85:5511-5514. https://doi.org/10.1103/PhysRevLett.85.5511

Carollo R, Frenett A, Hanneke D (2018) Two-photon vibrational transitions in 16O2+ as probes of variation of the proton-to-electron mass ratio. Atoms 7(1):1. https://doi.org/10.3390/atoms7010001

Carr BJ (ed) (2007) Universe or multiverse? Cambridge University Press, Cambridge

Carr BJ, Rees MJ (1979) The anthropic principle and the structure of the physical world. Nature 278:605-612. https://doi.org/10.1038/278605a0

Carroll SM (1998) Quintessence and the rest of the world: suppressing long-range interactions. Phys Rev Lett 81:3067-3070. https://doi.org/10.1103/PhysRevLett.81.3067

Carroll SM, Mantry S, Ramsey-Musolf MJ, Stubbs CW (2009) Dark-matter-induced weak equivalence principle violation. Phys Rev Lett 103:011301. https://doi.org/10.1103/PhysRevLett.103.011301. arXiv:0807.4363 [hep-ph]

Carroll SM, Mantry S, Ramsey-Musolf MJ (2010) Implications of a scalar dark force for terrestrial experiments. Phys Rev D 81:063507. https://doi.org/10.1103/PhysRevD.81.063507. arXiv:0902.4461 [hep-ph]

Carter B (1974) Large number coincidences and the anthropic principle in cosmology. In: Longair MS (ed) Confrontation of cosmological theories with observational data. Reidel, Dordrecht, pp 291-298

Carter B (1983) The anthropic principle and its implication for biological evolution. Philos Trans R Soc London Ser A 310:347. https://doi.org/10.1098/rsta.1983.0096

Casas JA, García-Bellido J, Quirós M (1992) Nucleosynthesis bounds on Jordan-Brans-Dicke theories of gravity. Mod Phys Lett A 7:447. https://doi.org/10.1142/S0217732392000409

Cembranos J, Olive KA, Peloso M, Uzan JP (2009) Quantum corrections to the cosmological evolution of conformally coupled fields. JCAP 07(2009):025. https://doi.org/10.1088/1475-7516/2009/07/025. arXiv:0905.1989 [astro-ph.CO]

Chacko Z, Grojean C, Perelstein M (2003) Fine structure constant variation from a late phase transition. Phys Lett B 565:169 [arxiv:hep-ph/0204142]

Chakrabarti S (2021) Cosmic variation of proton-to-electron mass ratio with an interacting Higgs scalar field. Mon Not R Astron Soc 506(2):2518-2532. https://doi.org/10.1093/mnras/stab1910. arXiv:2107.00543 [gr-qc]

Chakrabarti S (2023) Can a variation of fine structure constant influence the fate of gravitational collapse? Eur Phys J C 83(8):693. https://doi.org/10.1140/epjc/s10052-023-11877-1. arXiv:2304.12613 [gr-qc]

Chamoun N, Landau SJ, Mosquera ME, Vucetich H (2007) Helium and deuterium abundances as a test for the time variation of the baryonic density, fine structure constant and the Higgs vacuum
expectation value. J Phys G Nucl Part Phys 34:163. https://doi.org/10.1088/0954-3899/34/2/001.
arxiv:astro-ph/0508378

Chan KC, Chu MC (2007) Constraining the variation of *G* by cosmic microwave background anisotropies. Phys Rev D 75:083521. https://doi.org/10.1103/PhysRevD.75.083521. arxiv:astro-ph/0611851

Chand H, Petitjean P, Srianand R, Aracil B (2004) Probing the cosmological variation of the fine-structure constant: results based on VLT-UVES sample. Astron Astrophys 417:853. https://doi.org/10.1051/0004-6361:20035701. arxiv:astro-ph/0401094

Chand H, Petitjean P, Srianand R, Aracil B (2005) Probing the time-variation of the fine-structure constant: results based on Si IV doublets from a UVES sample. Astron Astrophys 430:47-58. https://doi.org/10.1051/0004-6361:20041186. arxiv:astro-ph/0408200

Chand H, Petitjean P, Srianand R, Aracil B (2006) On the variation of the fine-structure constant: very high resolution spectrum of QSO HE 0515-4414. Astron Astrophys 451:45. https://doi.org/10.1051/0004-6361:20054584. arxiv:astro-ph/0601194

Chandler JF, Reasenberg RD, Shapiro II (1993) New bounds on $G$. Bull Am Astron Soc 25:1233

Chang Z, Wang S, Li X (2012) Fine structure constant variation or space-time anisotropy? Eur Phys J C 72:1838. https://doi.org/10.1140/epjc/s10052-011-1838-4. arXiv:1106.2726 [gr-qc]

Charlton M, Eriksson S, Shore GM (2020) Testing fundamental physics in antihydrogen experiments. arXiv e-prints arXiv:2002.09348 [hep-ph]

Chen X, Kamionkowski M (1999) Cosmic microwave background temperature and polarization anisotropy in Brans-Dicke cosmology. Phys Rev D 60:104036. https://doi.org/10.1103/PhysRevD.60.104036

Chen X, Ellingsen SP, Mei Y (2019) Astrophysical constraints on the proton-to-electron mass ratio with FAST. Res Astron Astrophys 19:18. https://doi.org/10.1088/1674-4527/19/2/18. arXiv:1904.03871 [astro-ph.IM]

Chengalur JN, Kanekar N (2003) Constraining the variation of fundamental constants using 18 cm OH lines. Phys Rev Lett 91:241302. https://doi.org/10.1103/PhysRevLett.91.241302. arxiv:astro-ph/0310764

Cheoun MK, Kajino T, Kusakabe M, Mathews GJ (2011) Time dependent quark masses and Big Bang nucleosynthesis revisited. Phys Rev D 84:043001. https://doi.org/10.1103/PhysRevD.84.043001. arXiv:1104.5547 [astro-ph.CO]

Chiba T, Khori K (2002) Quintessence cosmology and varying $z$. Prog Theor Phys 107:631. https://doi.org/10.1143/PTP.107.631. arxiv:hep-ph/0111086

Chiba T, Yamaguchi M (2011) Runaway domain wall and space-time varying alpha. JCAP 03:044. https://doi.org/10.1088/1475-7516/2011/03/044. arXiv:1102.0105 [astro-ph.CO]

Chiba T, Kobayashi T, Yamaguchi M, Yokoyama J (2007) Time variation of proton-electron mass ratio and fine structure constant with runaway Dilaton. Phys Rev D 75:043516. https://doi.org/10.1103/PhysRevD.75.043516. arxiv:hep-ph/0610027

Chin C, Flambaum VV (2006) Enhancement of variation of fundamental constants in ultracold atom and molecule systems near Feshbach resonances. Phys Rev Lett 96:230801. https://doi.org/10.1103/PhysRevLett.96.230801. arXiv:cond-mat/0603607

Chluba J, Hart L (2024) Varying fundamental constants meet Hubble. In: Di Valentino E, Brout D (eds) The Hubble constant tension. Springer, Singapore, pp 613-638. https://doi.org/10.1007/978-981-99-0177-7_33arXiv:2309.12083 [astro-ph.CO]

Chluba J, Thomas RM (2011) Towards a complete treatment of the cosmological recombination problem. Mon Not R Astron Soc 412:748. https://doi.org/10.1111/j.1365-2966.2010.17940.x. arXiv:1010.3631 [astro-ph.CO]

Chupp TE, Hoare RJ, Loveman RA, Oteiza ER, Richardson JM, Wagshul ME, Thompson AK (1989) Results of a new test of local Lorentz invariance: a search for mass anisotropy in $^{21}$Ne. Phys Rev Lett 63:1541-1545. https://doi.org/10.1103/PhysRevLett.63.1541

Cingöz A, Lapierre A, Nguyen AT, Leefer N, Budker D, Lamoreaux SK, Torgerson JR (2008) Limit on the temporal variation of the fine-structure constant using atomic dysprosium. Phys Rev Lett 98:040801. https://doi.org/10.1103/PhysRevLett.98.040801. arxiv:physics/0609014

Civitarese O, Moliné MA, Mosquera ME (2010) Cosmological bounds to the variation of the Higgs vacuum expectation value: BBN constraints. Nucl Phys A 846:157. https://doi.org/10.1016/j.nuclphysa.2010.06.011
Clara MT, Martins C (2020) Primordial nucleosynthesis with varying fundamental constants: improved constraints and a possible solution to the Lithium problem. Astron Astrophys 633:L11. https://doi.org/10.1051/0004-6361/201937211. arXiv:2001.01787 [astro-ph.CO]

Clifton T, Barrow JD, Scherrer RJ (2005) Constraints on the variation of *G* from primordial nucleosynthesis. Phys Rev D 71:123526. https://doi.org/10.1103/PhysRevD.71.123526

Clifton T, Ferreira PG, Padilla A, Skordis C (2012) Modified gravity and cosmology. Phys Rep 513(1):1-189. https://doi.org/10.1016/j.physrep.2012.01.001

Coc A, Vangioni E (2010) Big-bang nucleosynthesis with updated nuclear data. J Phys Conf Ser 202:012001. https://doi.org/10.1088/1742-6596/202/1/012001

Coc A, Vangioni-Flam E, Descouvemont P, Adahchour A, Angulo C (2004) Updated Big Bang nucleosynthesis compared with Wilkinson microwave anisotropy probe observations and the abundance of light elements. Astrophys J 600:544. https://doi.org/10.1086/380121. arxiv:astro-ph/0309480

Coc A, Olive KA, Uzan JP, Vangioni E (2006) Big Bang nucleosynthesis constraints on scalar-tensor theories of gravity. Phys Rev D 73:083525. https://doi.org/10.1103/PhysRevD.73.083525. arxiv:astro-ph/0601299

Coc A, Nunes NJ, Olive KA, Uzan JP, Vangioni E (2007) Coupled variations of the fundamental couplings and primordial nucleosynthesis. Phys Rev D 76:023511. https://doi.org/10.1103/PhysRevD.76.023511. arxiv:astro-ph/0610733

Coc A, Ekström S, Descouvemont P, Meynet G, Olive KA, Uzan JP, Vangioni E (2009a) Constraints on the variations of fundamental couplings by stellar models. Mem Soc Astron Ital 80:809-813

Coc A, Olive K, Uzan JP, Vangioni E (2009b) Non-universal scalar-tensor theories and Big Bang nucleosynthesis. Phys Rev D 79:103512. https://doi.org/10.1103/PhysRevD.79.103512

Coc A, Olive KA, Uzan JP, Vangioni E (2009c) Non-universal scalar-tensor theories and Big Bang nucleosynthesis. Phys Rev D 79:103512. https://doi.org/10.1103/PhysRevD.79.103512. arXiv:0811.1845 [astro-ph]

Coc A, Descouvemont P, Olive KA, Uzan JP, Vangioni E (2012a) The variation of fundamental constants and the role of $A = 5$ and $A = 8$ nuclei on primordial nucleosynthesis. Phys Rev D 86:043529. https://doi.org/10.1103/PhysRevD.86.043529. arXiv:1206.1139 [astro-ph.CO]

Coc A, Descouvemont P, Uzan JP, Vangioni E (2012b) Influence of the variation of fundamental constants on the primordial nucleosynthesis. Pos NICXII:073. https://doi.org/10.22323/1.146.0073. arXiv:1301.1474 [astro-ph.CO]

Colaço LR, Holanda R, Silva R, Alcaniz JS (2019) Galaxy clusters and a possible variation of the fine structure constant. JCAP 03:014. https://doi.org/10.1088/1475-7516/2019/03/014. arXiv:1901.10947 [astro-ph.CO]

Colaço LR, Holanda R, Nunes RC, Gonzalez JE (2024) Forecasts analysis on varying-$\alpha$ theories from gravitational wave standard sirens. Astropart Phys 155:102911. https://doi.org/10.1016/j.astropartphys.2023.102911

Collins R (2009) The teleological argument: an exploration of the fine-tuning of the universe, vol 4. Wiley, New York, pp 202-281. https://doi.org/10.1002/9781444308334.ch4

Combes F (2009) Radio measurements of constant variation, and perspective with ALMA. Mem Soc Astron Ital 80:888

Consiglio R, de Salas PF, Mangano G, Miele G, Pastor S, Pisanti O (2018) PArthENoPE reloaded. Comput Phys Commun 233:237-242. https://doi.org/10.1016/j.cpc.2018.06.022. arXiv:1712.04378 [astro-ph.CO]

Constantin FL (2015) Sensitivity to proton-to-electron mass ratio variation from pairs of isotopic lithium hydride rotational and rovibrational transitions. J Phys B 48(17):175006. https://doi.org/10.1088/0953-4075/48/17/175006

Cook AH (1957) Secular changes of the units and constant of physics. Nature 180:1194. https://doi.org/10.1038/1801194b0

Cook CW, Fowler WA, Lauritsen CC, Lauritsen T (1957) $B^{12}$, $C^{12}$, and the red giants. Phys Rev D 107:508. https://doi.org/10.1103/PhysRev.D.107.508

Cooke RJ, Pettini M, Steidel CC (2018) One percent determination of the primordial deuterium abundance. Astrophys J 855(2):102. https://doi.org/10.3847/1538-4357/aaab53. arXiv:1710.11129 [astro-ph.CO]
Copeland EJ, Nunes NJ, Pospelov M (2004) Models of quintessence coupled to the electromagnetic field and the cosmological evolution of $\alpha$. *Phys Rev D* 69: 023501. https://doi.org/10.1103/PhysRevD.69.023501. arxiv:hep-ph/0307299

Copi CJ, Davis AN, Krauss LM (2004) New nucleosynthesis constraint on the variation of *G*. *Phys Rev Lett* 92:171301. https://doi.org/10.1103/PhysRevLett.92.171301

Cornish N, Blas D, Nardini G (2017) Bounding the speed of gravity with gravitational wave observations. *Phys Rev Lett* 119(16):161102. https://doi.org/10.1103/PhysRevLett.119.161102. arXiv:1707.06101 [gr-qc]

Corsico AH, Benvenuto OG, Althaus LG, Isern J, Garcia-Berro E (2001) The potential of the variable DA white dwarf G117-B15A as a tool for fundamental physics. *New Astron* 6:197–213. https://doi.org/10.1016/S1384-1076(01)00055-0. arXiv:astro-ph/0104103

Coughlin MW, Dietrich T, Heinzel J, Khetan N, Antier S, Bulla M, Christensen N, Coulter DA, Foley RJ (2020) Standardizing Kilonovae and their use as standard candles to measure the Hubble constant. *Phys Rev Res 2*(2):022006. https://doi.org/10.1103/PhysRevResearch.2.022006. arXiv:1908.00889 [astro-ph.HE]

Covone G, Sereno M (2022) Lensing cosmic drift. *Mon Not R Astron Soc* 513(4):5198–5203. https://doi.org/10.1093/mnras/stac1261. arXiv:2205.05292 [astro-ph.CO]

Craig N (2023) Naturalness: past, present, and future. *Eur Phys J C* 83(9):825. https://doi.org/10.1140/epjc/s10052-023-11928-7. arXiv:2205.05708 [hep-ph]

Cremmer E, Scherk J (1977) Spontaneous compactification of extra space dimensions. *Nucl Phys B* 118:61. https://doi.org/10.1016/0550-3213(77)90363-7

Cristiani S, Avila G, Bonifacio P, Bouchy F, Carswell B, D'Odorico S, D'Odorico V, Delabre B, Dekker H, Dessauges M, Dimarcantonio P, García-Lopez R, Grazian A, Haehnelt M, Herreros JM, Israelian G, Levshakov S, Liske J, Lovis C, Manescau A, Martin E, Mayor M, Megevand D, Molaro P, Murphy M, Pasquini L, Pepe F, Perez J, Queloz D, Rebolo R, Santin P, Shaver P, Spanò P, Udry S, Vanzella E, Viel M, Zapatero MR, Zerbi F, Zucker S (2007) The CODEX-ESPRESSO experiment: cosmic dynamics, fundamental physics, planets and much more. *Nuovo Cimento B* 122:1165–1170. https://doi.org/10.1393/ncb/i2008-10450-9. arXiv:0712.4152 [astro-ph]

Cronin AD, Schmiedmayer J, Pritchard DE (2009) Optics and interferometry with atoms and molecules. *Rev Mod Phys* 81:1051–1129. https://doi.org/10.1103/RevModPhys.81.1051

Curran SJ, Kanekar N, Darling JK (2004) Measuring changes in the fundamental constants with redshifted radio absorption lines. *New Astron Rev* 48:1095–1105. https://doi.org/10.1016/j.newar.2004.09.004. arXiv:astro-ph/0409141

Curran SJ, Tanna A, Koch FE, Berengut JC, Webb JK, Stark AA, Flambaum VV (2011) Measuring space-time variation of the fundamental constants with redshifted submillimetre transitions of neutral carbon. *Astron Astrophys* 533:A55. https://doi.org/10.1051/0004-6361/201117457. arXiv:1108.0976 [astro-ph.CO]

Cusin G, Pitrou C, Uzan JP (2017) Are we living near the center of a local void? *JCAP* 03:038. https://doi.org/10.1088/1475-7516/2017/03/038. arXiv:1609.02061 [astro-ph.CO]

Cyburt RH, Fields BD, Olive KA, Skillman E (2005) New BBN limits on physics beyond the standard model from $^4$He. *Astropart Phys* 23:313–323. https://doi.org/10.1016/j.astropartphys.2005.01.005. arXiv:astro-ph/0408033

Cyburt RH, Fields BD, Olive KA (2008) An update on the Big Bang nucleosynthesis prediction for $^7$Li: the problem worsens. *JCAP* 11:012. https://doi.org/10.1088/1475-7516/2008/11/012. arXiv:0808.2818 [astro-ph]

Cyr-Racine FY, Ge F, Knox L (2022) Symmetry of cosmological observables, a mirror world dark sector, and the Hubble constant. *Phys Rev Lett* 128(20):201301. https://doi.org/10.1103/PhysRevLett.128.201301. arXiv:2107.13000 [astro-ph.CO]

Damour T (1996) Testing the equivalence principle: why and how? *Class Quantum Grav* 13:A33–A41. https://doi.org/10.1088/0264-9381/13/11A/005. arXiv:gr-qc/9606080

Damour T (2009) The equivalence principle and the constants of nature. *Space Sci Rev* 148:191. https://doi.org/10.1007/s11214-009-9533-6. arXiv:0906.3174 [gr-qc]

Damour T (2012) Theoretical aspects of the equivalence principle. *Class Quant Grav* 29:184001. https://doi.org/10.1088/0264-9381/29/18/184001. arXiv:1202.6311 [gr-qc]

Damour T, Donoghue JF (2008) Constraints on the variability of quark masses from nuclear binding. *Phys Rev D* 78:014014. https://doi.org/10.1103/PhysRevD.78.014014. arXiv:0712.2968 [hep-ph]
Damour T, Donoghue JF (2010a) Equivalence principle violations and couplings of a light Dilaton. Phys Rev D 82:084033 [arXiv:1007.2792 [gr-qc]]

Damour T, Donoghue JF (2010b) Phenomenology of the equivalence principle with light scalars. Class Quantum Grav 27:202001. https://doi.org/10.1088/0264-9381/27/20/202001. arXiv:1007.2790 [gr-qc]

Damour T, Donoghue JF (2011) Spatial variation of fundamental couplings and lunar laser ranging. Class Quant Grav 28:162001. https://doi.org/10.1088/0264-9381/28/16/162001. arXiv:1104.4872 [gr-qc]

Damour T, Dyson FJ (1996) The Oklo bound on the time variation of the fine-structure constant revisited. Nucl Phys B 480:37–54. https://doi.org/10.1016/S0550-3213(96)00467-1. arxiv:hep-ph/9606486

Damour T, Esposito-Farèse G (1992) Tensor-multi-scalar theories of gravitation. Class Quantum Grav 9:2093–2176. https://doi.org/10.1088/0264-9381/9/9/015

Damour T, Esposito-Farèse G (1993) Nonperturbative strong-field effects in tensor-scalar theories of gravitation. Phys Rev Lett 70:2220–2223. https://doi.org/10.1103/PhysRevLett.70.2220

Damour T, Esposito-Farèse G (1996) Tensor-scalar gravity and binary-pulsar experiments. Phys Rev D 54:1474–1491. https://doi.org/10.1103/PhysRevD.54.1474

Damour T, Esposito-Farèse G (1998) Gravitational-wave versus binary-pulsar tests of strong-field gravity. Phys Rev D 58:042001. https://doi.org/10.1103/PhysRevD.58.042001

Damour T, Gundlach C (1991) Nucleosynthesis constraints on an extended Jordan–Brans–Dicke theory. Phys Rev D 43:3873. https://doi.org/10.1103/PhysRevD.43.3873

Damour T, Lilley M (2008) String theory, gravity and experiment. In: Bachas C, Baulieu L, Douglas M, Kiritsis E, Rabinovici E, Vanhove P, Windey P, Cugliandolo LF (eds) String theory and the real world: from particle physics to astrophysics. Les Houches summer school proceedings, vol 87. Elsevier, Amsterdam, pp 371–448

Damour T, Nordtvedt K (1993a) General relativity as a cosmological attractor of tensor-scalar theories. Phys Rev Lett 70:2217–2219. https://doi.org/10.1103/PhysRevLett.70.2217

Damour T, Nordtvedt K (1993b) Tensor-scalar cosmological models and their relaxation toward general relativity. Phys Rev D 48:3436–3450. https://doi.org/10.1103/PhysRevD.48.3436

Damour T, Pichon B (1999) Big Bang nucleosynthesis and tensor-scalar gravity. Phys Rev D 59:123502. https://doi.org/10.1103/PhysRevD.59.123502. arxiv:astro-ph/9807176

Damour T, Polyakov AM (1994a) String theory and gravity. Gen Relativ Gravit 26:1171. https://doi.org/10.1007/BF02106709. arxiv:gr-qc/9411069

Damour T, Polyakov AM (1994b) The string Dilaton and a least coupling principle. Nucl Phys B 423:532–558. https://doi.org/10.1016/0550-3213(94)09143-0. arxiv:hep-th/9401069

Damour T, Schaefer G (1991) New tests of the strong equivalence principle using binary pulsar data. Phys Rev Lett 66:2549–2552. https://doi.org/10.1103/PhysRevLett.66.2549

Damour T, Taylor JH (1991) On the orbital period change of the binary pulsar PSR 1913+16. Astrophys J 366:501–511. https://doi.org/10.1086/169585

Damour T, Gibbons GW, Taylor JH (1988) Limits on the variability of *G* using binary-pulsar data. Phys Rev Lett 61:1151–1154. https://doi.org/10.1103/PhysRevLett.61.1151

Damour T, Gibbons GW, Gundlach C (1990) Dark matter, time-varying *G*, and a Dilaton field. Phys Rev Lett 64:123. https://doi.org/10.1103/PhysRevLett.64.123

Damour T, Piazza F, Veneziano G (2002a) Runaway Dilaton and equivalence principle violations. Phys Rev Lett 89:081601. https://doi.org/10.1103/PhysRevLett.89.081601. arxiv:gr-qc/0204094

Damour T, Piazza F, Veneziano G (2002b) Violations of the equivalence principle in a Dilaton-runaway scenario. Phys Rev D 66:046007. https://doi.org/10.1103/PhysRevD.66.046007. arxiv:hep-th/0205111

Danielsson U, Enberg R, Ingelman G, Mandal T (2017) Heavy photophilic scalar at the LHC from a varying electromagnetic coupling. Nucl Phys B 919:569–582. https://doi.org/10.1016/j.nuclphysb.2017.04.003. arXiv:1601.00624 [hep-ph]

Danielsson U, Enberg R, Ingelman G, Mandal T (2019) Varying gauge couplings and collider phenomenology. Phys Rev D 100(5):055028. https://doi.org/10.1103/PhysRevD.100.055028. arXiv:1905.11314 [hep-ph]

Daprà M, Bagdonaitė J, Murphy MT, Ubachs W (2015) Constraint on a varying proton-to-electron mass ratio from molecular hydrogen absorption towards quasar SDSS J123714.60+064759.5. Mon Not R Astron Soc 454(1):489–506. https://doi.org/10.1093/mnras/stv1998. arXiv:1508.07419 [astro-ph.CO]
Daprà M, Niu ML, Salumbides EJ, Murphy MT, Ubachs W (2016) Constraint on a cosmological variation in the proton-to-electron mass ratio from electronic CO absorption. Astrophys J 826(2):192. https://doi.org/10.3847/0004-637X/826/2/192. arXiv:1605.09742 [astro-ph.CO]

Daprà M, Henkel C, Levshakov SA, Menten KM, Muller S, Bethlem HL, Leurini S, Lapinov AV, Ubachs W (2017a) Testing the variability of the proton-to-electron mass ratio from observations of methanol in the dark cloud core L1498. Mon Not R Astron Soc 472(4):4434–4443. https://doi.org/10.1093/mnras/stx2308. arXiv:1709.03103 [astro-ph.CO]

Daprà M, van der Laan M, Murphy MT, Ubachs W (2017b) Constraint on a varying proton-to-electron mass ratio from H2 and HD absorption at zabs ~ 2.34. Mon Not R Astron Soc 465(4):4057–4073. https://doi.org/10.1093/mnras/stw3003. arXiv:1611.05191 [astro-ph.CO]

Daprà M, Noterdaeme P, Vonk M, Murphy MT, Ubachs W (2017c) Analysis of carbon monoxide absorption at zabs ~ 2.5 to constrain variation of the proton-to-electron mass ratio. Mon Not R Astron Soc 467(4):3848–3855. https://doi.org/10.1093/mnras/stx331. arXiv:1702.03132 [astro-ph.CO]

Darling J (2004) A laboratory for constraining cosmic evolution of the fine-structure constant: conjugate 18 centimeter OH lines toward PKS 1413+135 at z = 0.2467. Astrophys J 612:58. https://doi.org/10.1086/422450. arxiv:astro-ph/0405240

Darling J (2012) Toward a direct measurement of the cosmic acceleration. Astrophys J Lett 761:L26. https://doi.org/10.1088/2041-8205/761/L26. arXiv:1211.4585 [astro-ph.CO]

Davies P, Davis TM, Lineweaver CH (2002) Cosmology: black holes constrain varying constants. Nature 418:602. https://doi.org/10.1038/418602a

Davis AC, Gregory R, Jha R (2016) Black hole accretion discs and screened scalar hair. JCAP 10:024. https://doi.org/10.1088/1475-7516/2016/10/024. arXiv:1607.08607 [gr-qc]

Davis ED (2015) Implications of the Oklo phenomenon in a chiral approach to nuclear matter. Few Body Syst 56(6–9):431–437. https://doi.org/10.1007/s00601-014-0909-0. arXiv:1406.7394 [nucl-th]

Davis ED, Hamdan L (2015) Reappraisal of the limit on the variation in $\alpha$ implied by the Oklo natural fission reactors. Phys Rev C 92(1):014319. https://doi.org/10.1103/PhysRevC.92.014319. arXiv:1503.06011 [nucl-th]

Davis ED, Gould CR, Sharapov EI (2014) Oklo reactors and implications for nuclear science. Int J Mod Phys E 23(4):1430007. https://doi.org/10.1142/S0218301314300070. arXiv:1404.4948 [nucl-th]

Davoudiasl H, Gehrlein J, Szafron R (2022) Is the $\theta$ parameter of QCD constant? Phys Rev Lett 129(16):161802. https://doi.org/10.1103/PhysRevLett.129.161802. arXiv:2204.09694 [hep-ph]

De Martino I, Martins C, Ebeling H, Kocevski D (2016a) Constraining spatial variations of the fine structure constant using clusters of galaxies and Planck data. Phys Rev D 94(8):083008. https://doi.org/10.1103/PhysRevD.94.083008. arXiv:1605.03053 [astro-ph.CO]

De Martino I, Martins C, Ebeling H, Kocevski D (2016b) New constraints on spatial variations of the fine structure constant from clusters of galaxies. Universe 2(4):34. https://doi.org/10.3390/universe2040034. arXiv:1612.06739 [astro-ph.CO]

Deal M, Martins C (2021) Primordial nucleosynthesis with varying fundamental constants—solutions to the lithium problem and the deuterium discrepancy. Astron Astrophys 653:A48. https://doi.org/10.1051/0004-6361/202140725. arXiv:2106.13989 [astro-ph.CO]

Decca RS, López D, Fischbach E, Klimchitskaya GL, Krause DE, Mostepanenko VM (2007) Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates. Phys Rev D 75:077101. https://doi.org/10.1103/PhysRevD.75.077101

Del'Innocenti D (1996) Time variation of Newton's constant and the age of globular clusters. Astron Astrophys 312:345

Delva P et al (2018) Gravitational redshift test using eccentric Galileo satellites. Phys Rev Lett 121(23):231101. https://doi.org/10.1103/PhysRevLett.121.231101. arXiv:1812.03711 [gr-qc]

Delva P et al (2019) A new test of gravitational redshift using Galileo satellites: the GREAT experiment. C R Phys 20:176–182. https://doi.org/10.1016/j.crhy.2019.04.002

Demarque P, Krauss LM, Guenther DB, Nydam D (1994) The sun as a probe of varying $G$. Astrophys J 437:870. https://doi.org/10.1086/175048

DeMille D, Sainis S, Sage J, Bergeman T, Kotochigova S, Tiesinga E (2008) Enhanced sensitivity to variation of $m_e/m_p$ in molecular spectra. Phys Rev Lett 100:043202. https://doi.org/10.1103/PhysRevLett.100.043202

Dent T (2004) Varying alpha, thresholds and fermion masses. Nucl Phys B 677:471–484. https://doi.org/10.1016/j.nuclphysb.2003.10.047. arxiv:hep-ph/0305026
Dent T (2007) Composition-dependent long range forces from varying $m_p/m_e$. JCAP 2007(01):013. https://doi.org/10.1088/1475-7516/2007/01/013. arxiv:hep-ph/0608067

Dent T, Fairbairn M (2003) Time varying coupling strength, nuclear forces and unification. Nucl Phys B 653:256. https://doi.org/10.1016/S0550-3213(03)00043-9. arxiv:hep-ph/0112279

Dent T, Stern S, Wetterich C (2007) Primordial nucleosynthesis as a probe of fundamental physics parameters. Phys Rev D 76:063513. https://doi.org/10.1103/PhysRevD.76.063513. arXiv:0705.0696 [astro-ph]

Dent T, Stern S, Wetterich C (2008) Unifying cosmological and recent time variations of fundamental couplings. Phys Rev D 78:103518. https://doi.org/10.1103/PhysRevD.78.103518. arXiv:0808.0702 [hep-ph]

Dent T, Stern S, Wetterich C (2009) Time variation of fundamental couplings and dynamical dark energy. JCAP 2009(01):038. https://doi.org/10.1088/1475-7516/2009/01/038. arXiv:0809.4628 [hep-ph]

Derevianko A (2016) Atomic clocks and dark-matter signatures. J Phys Conf Ser 723(1):012043. https://doi.org/10.1088/1742-6596/723/1/012043. arXiv:1603.07001 [physics.atom-ph]

Derevianko A, Pospelov M (2014) Hunting for topological dark matter with atomic clocks. Nature Phys 10:933. https://doi.org/10.1038/nphys3137. arXiv:1311.1244 [physics.atom-ph]

Derevianko A, Gibble K, Hollberg L, Newbury NR, Oates C, Safronova MS, Sinclair LC, Yu N (2022) Fundamental physics with a state-of-the-art optical clock in space. Quantum Sci Technol 7(4):044002. https://doi.org/10.1088/2058-9565/ac7df9. arXiv:2112.10817 [gr-qc]

Desmond H, Sakstein J, Jain B (2021) Five percent measurement of the gravitational constant in the large Magellanic cloud. Phys Rev D 103(2):024028. https://doi.org/10.1103/PhysRevD.103.024028. arXiv:2012.05028 [astro-ph.CO]

Di Dio E, Montanari F, Raccanelli A, Durrer R, Kamionkowski M, Lesgourgues J (2016) Curvature constraints from large scale structure. JCAP 06:013. https://doi.org/10.1088/1475-7516/2016/06/013. arXiv:1603.09073 [astro-ph.CO]

Di Valentino E, Mena O, Pan S, Visinelli L, Yang W, Melchiorri A, Mota DF, Riess AG, Silk J (2021) In the realm of the Hubble tension—a review of solutions. Class Quant Grav 38(15):153001. https://doi.org/10.1088/1361-6382/ac086d. arXiv:2103.01183 [astro-ph.CO]

Díaz-Pachón DA, Hössjer O, Marks RJ (2021) Is cosmological tuning fine or coarse? JCAP 07:020. https://doi.org/10.1088/1475-7516/2021/07/020. arXiv:2104.05400 [physics.gen-ph]

Dicke RH (1959) Dirac's cosmology and the dating of meteorites. Nature 183:170-171. https://doi.org/10.1038/183170a0

Dicke RH (1961) Dirac's cosmology and Mach's principle. Nature 192:440. https://doi.org/10.1038/192440a0

Dicke RH (1964) Experimental relativity. In: DeWitt CM, DeWitt BS (eds) Relativity, groups and topology. Gordon and Breach, New York, pp 165-313

Dimarcq N et al (2024) Roadmap towards the redefinition of the second. Metrologia 61(1):012001. https://doi.org/10.1088/1681-7575/ad17d2. arXiv:2307.14141 [physics.atom-ph]

Dimopoulos S, Susskind L (1978) On the Baryon number of the universe. Phys Rev D 18:4500-4509. https://doi.org/10.1103/PhysRevD.18.4500

Dine M, Nir Y, Raz G, Volansky T (2003) Time variations in the scale of grand unification. Phys Rev D 67:015009. https://doi.org/10.1103/PhysRevD.67.015009. arXiv:hep-ph/0209134

Dinh TH, Dunning A, Dzuba VA, Flambaum VV (2009) The sensitivity of hyperfine structure to nuclear radius and quark mass variation. Phys Rev A 79:054102. https://doi.org/10.1103/PhysRevA.79.054102. arXiv:0903.2090 [physics.atom-ph]

Dirac P (1937) The cosmological constants. Nature 139:323. https://doi.org/10.1038/139323a0

Dirac P (1938) A new basis for cosmology. Proc R Soc London Ser A 165:199-208

Dmitriev VF, Flambaum VV (2003) Limits on cosmological variation of quark masses and strong interaction. Phys Rev D 67:063513. https://doi.org/10.1103/PhysRevD.67.063513. arXiv:astro-ph/0209409

Dmitriev VF, Flambaum VV, Webb JK (2004) Cosmological variation of deuteron binding energy, strong interaction and quark masses from Big Bang nucleosynthesis. Phys Rev D 69:063506. https://doi.org/10.1103/PhysRevD.69.063506. arXiv:astro-ph/0310892

Donoghue JF (2006) The nuclear central force in the chiral limit. Phys Rev C 74:024002. https://doi.org/10.1103/PhysRevC.74.024002. arXiv:nucl-th/0603016

Donoghue JF (2016) The multiverse and particle physics. Ann Rev Nucl Part Sci 66:1-21. https://doi.org/10.1146/annurev-nucl-102115-044644. arXiv:1601.05136 [hep-ph]
Donoghue JF, Dutta K, Ross A (2006) Quark and lepton masses and mixing in the landscape. Phys Rev D 73:113002. https://doi.org/10.1103/PhysRevD.73.113002. arxiv:hep-ph/0511219

Donoghue JF, Dutta K, Ross A, Tegmark M (2010) Likely values of the Higgs VEV. Phys Rev D 81:073003. https://doi.org/10.1103/PhysRevD.81.073003. arXiv:0903.1024 [hep-ph]

Doran M (2005) Can we test dark energy with running fundamental constants? JCAP 2005(04):016. https://doi.org/10.1088/1475-7516/2005/04/016. arxiv:astro-ph/0411606

Duan XC, Deng XB, Zhou MK, Zhang K, Xu WJ, Xiong F, Xu YY, Shao CG, Luo J, Hu ZK (2016) Test of the universality of free fall with atoms in different spin orientations. Phys Rev Lett 117:023001. https://doi.org/10.1103/PhysRevLett.117.023001

Dudas E (2000) Theory and phenomenology of type I strings and M theory. Class Quantum Grav 17:R41. https://doi.org/10.1088/0264-9381/17/22/201

Duff MJ (2002) Comment on time-variation of fundamental constants. arXiv e-prints arXiv:hep-th/0208093

Duff MJ (2015) How fundamental are fundamental constants? Contemp Phys 56(1):35-47. https://doi.org/10.1080/00107514.2014.980093. arXiv:1412.2040 [hep-th]

Duff MJ, Okun LB, Veneziano G (2002) Trialogue on the number of fundamental constants. J High Energy Phys 03:023. https://doi.org/10.1088/1126-6708/2002/03/023. arxiv:physics/0110060

Dumont V, Webb JK (2017) Modelling long-range wavelength distortions in quasar absorption echelle spectra. Mon Not R Astron Soc 468(2):1568-1574. https://doi.org/10.1093/mnras/stx381. arXiv:1701.03176 [astro-ph.CO]

Dunkley J et al (2011) The Atacama cosmology telescope: cosmological parameters from the 2008 power spectra. Astrophys J 739:52. https://doi.org/10.1088/0004-637X/739/1/52. arXiv:1009.0866 [astro-ph.CO]

Dvali G, Zaldarriaga M (2002) Changing $\alpha$ with time: implications for fifth-force-type experiments and quintessence. Phys Rev Lett 88:091303. https://doi.org/10.1103/PhysRevLett.88.091303. arxiv:hep-ph/0108217

Dyson FJ (1967) Time variation of the charge of the proton. Phys Rev Lett 19:1291. https://doi.org/10.1103/PhysRevLett.19.1291

Dyson FJ (1972) The fundamental constants and their time variation. In: Salam A, Wigner EP (eds) Aspects of quantum theory. Cambridge University Press, Cambridge, pp 213-236

Dzuba VA, Flambaum VV (2000) Atomic optical clocks and search for the variation of the fine-structure constant. Phys Rev A 61:034502. https://doi.org/10.1103/PhysRevA.61.034502

Dzuba VA, Flambaum VV (2001) Atomic clocks and search for variation of the fine structure constant. Phys Rev A 61:034502. https://doi.org/10.1103/PhysRevA.63.042509

Dzuba VA, Flambaum VV (2010) Theoretical study of the experimentally important states of dysprosium. Phys Rev A 81:052515. https://doi.org/10.1103/PhysRevA.81.052515. arXiv:1003.1184 [physics.atom-ph]

Dzuba VA, Flambaum VV (2017) Limits on gravitational Einstein equivalence principle violation from monitoring atomic clock frequencies during a year. Phys Rev D 95(1):015019. https://doi.org/10.1103/PhysRevD.95.015019. arXiv:1608.06050 [physics.atom-ph]

Dzuba VA, Flambaum VV (2024) Highly charged ions of heavy actinides as sensitive probes for time variation of the fine-structure constant. Phys Rev A 110(1):012801. https://doi.org/10.1103/PhysRevA.110.012801. arXiv:2405.11839 [physics.atom-ph]

Dzuba VA, Flambaum VV, Webb JK (1999a) Calculations of the relativistic effects in many electron atoms and space-time variation of fundamental constants. Phys Rev A 59:230. https://doi.org/10.1103/PhysRevA.59.230. arxiv:physics/9808021

Dzuba VA, Flambaum VV, Webb JK (1999b) Space-time variation of physical constants and relativistic corrections in atoms. Phys Rev Lett 82:888. https://doi.org/10.1103/PhysRevLett.82.888

Dzuba VA, Flambaum VV, Marchenko MV (2003) Relativistic effect in Sr, Dy, YbII, and YbIII and search for variation of the fine structure constant. Phys Rev A 68:022506. https://doi.org/10.1103/PhysRevA.68.022506. arxiv:physics/0305066

Dzuba VA, Flambaum VV, Mansour AJ (2024) Constraints on the variation of physical constants, equivalence principle violation, and a fifth force from atomic experiments. Phys Rev D 110(5):055022. https://doi.org/10.1103/PhysRevD.110.055022. arXiv:2402.09643 [hep-ph]

da Fonseca V et al (2022) Fundamental physics with ESPRESSO: constraining a simple parametrisation for varying $\alpha$. Astron Astrophys 666:A57. https://doi.org/10.1051/0004-6361/202243795. arXiv:2204.02930 [astro-ph.CO]
Eardley DM (1975) Observable effects of a scalar gravitational field in a binary pulsar. Astrophys J Lett 196:L59-L62. https://doi.org/10.1086/181744

Eddington A (1936) Relativity theory of protons and electrons. Cambridge University Press, Cambridge
Eddington A (1948) Fundamental theory. Cambridge University Press, Cambridge

Ekström S, Meynet G, Chiappini C, Hirschi R, Maeder A (2008) Effects of rotation on the evolution of primordial stars. Astron Astrophys 489:685. https://doi.org/10.1051/0004-6361:200809633. arXiv: 0807.0573 [astro-ph]

Ekström S, Coc A, Descoumont P, Meynet G, Olive KA, Uzan JP, Vangioni E (2010) Effects of the variation of fundamental constants on population III stellar evolution. Astron Astrophys 514:A62. https://doi.org/10.1051/0004-6361/200913684. arXiv:0911.2420 [astro-ph.SR]

Ellingsen SP, Voronkov MA, Breen SL, Lovell J (2012) First cosmological constraints on the proton-to-electron mass ratio from observations of rotational transitions of methanol. Astrophys J Lett 747:L7. https://doi.org/10.1088/2041-8205/747/1/L7. arXiv:1201.5644 [astro-ph.CO]

Ellis G, Uzan JP, Sloan D (2020) Climbing up the theories of nature: fine tuning and biological molecules. In: Sloan D, Alves Batista R, Townsen Hicks M, Davies R (eds) Fine tuning in the physical universe. Cambridge University Pres, Cambridge, pp 511–538

Ellis G, Uzan JP (2005) ‘c’ is the speed of light, isn’t it? Am J Phys 73:240–247. https://doi.org/10.1119/1.1819929. arXiv:gr-qc/0305099

Ellis G, Kirchner U, Stoeger WR (2004) Multiverses and physical cosmology. Mon Not R Astron Soc 34:921. https://doi.org/10.1111/j.1365-2966.2004.07261.x. arXiv:astro-ph/0305292

Ellis G, Poltis R. Uzan JP, Weltman A (2013) Blackness of the cosmic microwave background spectrum as a probe of the distance-duality relation. Phys Rev D 87(10):103530. https://doi.org/10.1103/PhysRevD.87.103530. arXiv:1301.1312 [astro-ph.CO]

Ellis J, Ibáñez L, Ross GG (1982a) Grand unification with large supersymmetry breaking. Phys Lett B 113:283–287. https://doi.org/10.1016/0370-2693(82)90040-5

Ellis J, Ibáñez L, Ross GG (1982b) $SU(2)_L \times U(1)$ symmetry breaking as a radiative effect of supersymmetry breaking in guts. Phys Lett B 110:215–220. https://doi.org/10.1016/0370-2693(82)91239-4

Elwell R, Schneider C, Jeet J, Terhune J, Morgan H, Alexandrova AN, Tran Tan HB, Derevianko A, Hudson ER (2024) Laser excitation of the $^{229}$Th nuclear isomeric transition in a solid-state host. Phys Rev Lett 133:013201. https://doi.org/10.1103/PhysRevLett.133.013201

Epelbaum E, Meissner UG, Glöckle W (2003) Nuclear forces in the chiral limit. Nucl Phys A 714:535–574. https://doi.org/10.1016/S0375-9474(02)01393-3. arXiv:nucl-th/0207089

Esposito-Farèse G (2005) Tests of alternative theories of gravity. In: Hewett J, Jaros J, Kamae T, Prescott C (eds) Gravity in the quantum world and the cosmos, vol 819. SLAC, Stanford. http://www.slac.stanford.edu/econf/C0507252/papers/T025.PDF

Esposito-Farèse G (2011) Motion in alternative theories of gravity. In: Blanchet L, Spallicci A, Whiting B (eds) Mass and motion in general relativity. Fundamental theories of physics, vol 162. Springer, Berlin, pp 461–489. https://doi.org/10.1007/978-90-481-3015-3arXiv:0905.2575 [gr-qc]

Esposito-Farèse G, Polarski D (2001) Scalar-tensor gravity in an accelerating universe. Phys Rev D 63:063504. https://doi.org/10.1103/PhysRevD.63.063504. arXiv:gr-qc/0009034

Essig R et al (2013) Working group report: new light weakly coupled particles. In: Snowmass 2013: Snowmass on the Mississippi. arXiv:1311.0029 [hep-ph]

Evans TM et al (2014) The UVES Large Program for testing fundamental physics-III. Constraints on the fine-structure constant from three telescopes. Mon Not R Astron Soc 445(1):128–150. https://doi.org/10.1093/mnras/stu1754. arXiv:1409.1923 [astro-ph.CO]

Fadeev P, Berengut JC, Flambaum VV (2022) Effects of variation of the fine structure constant $\alpha$ and quark mass mq in Mössbauer nuclear transitions. Phys Rev C 105(5):L051303. https://doi.org/10.1103/PhysRevC.105.L051303. arXiv:2112.13195 [nucl-th]

Fan X, Myers TG, Sukra B, Gabrielse G (2023) Measurement of the electron magnetic moment. Phys Rev Lett 130(7):071801. https://doi.org/10.1103/PhysRevLett.130.071801. arXiv:2209.13084 [physics.atom-ph]

Fayet P (1990) Extra U(1)'s and new forces. Nucl Phys B 347:743-768. https://doi.org/10.1016/0550-3213(90)90381-M

Feldman MR, Anderson JD, Schubert G, Trimble V, Kopeikin S, Lämmerzahl C (2016) Deep space experiment to measure G. Class Quant Grav 33(12):125013. https://doi.org/10.1088/0264-9381/33/12/125013. arXiv:1605.02126 [gr-qc]
Feldmeier H, Litvinova E, Flambaum V, Dobaczewski J (2017) Variation of fundamental constants and $^{229}$Th. In: 14th Marcel Grossmann meeting on recent developments in theoretical and experimental general relativity, astrophysics, and relativistic field theories, vol 4, pp 3670–3675. https://doi.org/10.1142/9789813226609_0478

Fenner Y, Murphy MT, Gibson BK (2005) On variations in the fine-structure constant and stellar pollution of quasar absorption systems. Mon Not R Astron Soc 358:468. https://doi.org/10.1111/j.1365-2966.2005.08781.x. arXiv:astro-ph/0501168

Ferreira MC, Julião MD, Martins C, Monteiro A (2013) A test of unification towards the radio source PKS1413+135. Phys Lett B 724:1–4. https://doi.org/10.1016/j.physletb.2013.05.055. arXiv:1305.7515 [astro-ph.CO]

Ferreira MC, Frigola O, Martins C, Monteiro A, Solà J (2014) Consistency tests of the stability of fundamental couplings and unification scenarios. Phys Rev D 89:083011. https://doi.org/10.1103/PhysRevD.89.083011. arXiv:1405.0299 [astro-ph.CO]

Ferrel SJ, Cingöz A, Lapierre A, Nguyen AT, Leefer N, Budker D, Flambaum VV, Lamoreaux SK, Torgerson JR (2007) Investigation of the gravitational potential dependence of the fine-structure constant using atomic dyprosium. Phys Rev A 76:062104. https://doi.org/10.1103/PhysRevA.76.062104. arXiv:0708.0569 [physics.atom-ph]

Ferrero A, Altschul B (2010) Limits on the time variation of the Fermi constant $G_F$ based on type Ia supernova observations. Phys Rev D 82:123002. https://doi.org/10.1103/PhysRevD.82.123002. arXiv:1008.4769 [hep-ph]

Fields BD, Olive KA, Yeh TH, Young C (2020) Big-bang nucleosynthesis after Planck. JCAP 03:010. https://doi.org/10.1088/1475-7516/2020/03/010. [Erratum: JCAP 11, E02 (2020)], arXiv:1912.01132 [astro-ph.CO]

Fienga A, Minazzoli O (2024) Testing theories of gravity with planetary ephemerides. Living Rev Relativ 27:1. https://doi.org/10.1007/s41114-023-00047-0. arXiv:2303.01821 [gr-qc]

Fienga A, Laskar J, Exertier P, Manche H, Gastineau M (2015) Numerical estimation of the sensitivity of INPOP planetary ephemerides to general relativity parameters. Celest Mech Dyn Astron 123(3):325–349. https://doi.org/10.1007/s10569-015-9639-y. arXiv:1409.4932 [astro-ph.EP]

Fierz M (1956) On the physical interpretation of P. Jordan’s extended theory of gravitation. Helv Phys Acta 29:128

Filzinger M, Dörscher S, Lange R, Klose J, Steinel M, Benkler E, Peik E, Lisdat C, Huntemann N (2023) Improved limits on the coupling of ultralight bosonic dark matter to photons from optical atomic clock comparisons. Phys Rev Lett 130(25):253001. https://doi.org/10.1103/PhysRevLett.130.253001. arXiv:2301.03433 [physics.atom-ph]

Filzinger M, Caddell AR, Jani D, Steinel M, Giani L, Huntemann N, Roberts BM (2025) Ultralight dark matter search with space-time separated atomic clocks and cavities. Phys Rev Lett 134(3):031001. https://doi.org/10.1103/PhysRevLett.134.031001. arXiv:2312.13723 [hep-ph]

Fischer H, Käding C, Pitschmann M (2024a) Screened scalar fields in the laboratory and the solar system. Universe 10(7):297. https://doi.org/10.3390/universe10070297. arXiv:2405.14638 [gr-qc]

Fischer H, Käding C, Sedmik R, Abele H, Brax P, Pitschmann M (2024b) Search for environment-dependent Dilatons. Phys Dark Univ 43:101419. https://doi.org/10.1016/j.dark.2024.101419. arXiv:2307.00243 [gr-qc]

Fischer M, Kolachevsky N, Zimmermann M, Holzwarth R, Udem T, Hänsch TW, Abgrall M, Grünert J, Maksimovic I, Bize S, Marion H, Pereira Dos Santos F, Lemonde P, Santarelli G, Laurent P, Clairon A, Salomon C, Haas M, Jentschura UD, Keitel CH (2004) New limits on the drift of fundamental constants from laboratory measurements. Phys Rev Lett 92:230802. https://doi.org/10.1103/PhysRevLett.92.230802. arXiv:physics/0312086

Fish V et al (2013) High-angular-resolution and high-sensitivity science enabled by beamformed ALMA. arXiv e-prints arXiv:1309.3519 [astro-ph.IM]

Flambaum V, Stadnik Y (2023) Searches for new particles including dark matter with atomic, molecular and optical systems. In: Drake G (ed) Springer handbook of atomic, molecular, and optical physics. Springer, Cham, pp 461–469. https://doi.org/10.1007/978-3-030-73893-8_31. arXiv:1806.03115 [physics.atom-ph]

Flambaum VV (2003) Limits on temporal variation of quark masses and strong interaction from atomic clock experiments. arXiv e-prints arXiv:physics/0302015
Flambaum VV (2004) Limits on temporal variation of fine structure constant, quark masses and strong interaction from atomic clock experiments. In: Hannaford P, Sidorov A, Bachor H, Baldwin K (eds) Laser spectroscopy. World Scientific, Singapore, pp 49–57 [arxiv:physics/0309107]

Flambaum VV (2006) Enhanced effect of temporal variation of the fine-structure constant and the strong interaction in $^{229}$Th. Phys Rev Lett 97:092502. https://doi.org/10.1103/PhysRevLett.97.092502. [arxiv:physics/0604188]

Flambaum VV, Dzuba VA (2009) Search for variation of the fundamental constants in atomic, molecular and nuclear spectra. Can J Phys 87:25. https://doi.org/10.1139/P08-072. arXiv:0805.0462 [physics.atom-ph]

Flambaum VV, Kozlov MG (2007a) Enhanced sensitivity to time-variation of $m_p/m_e$ in the inversion spectrum of ammonia. Phys Rev Lett 98:240801. https://doi.org/10.1103/PhysRevLett.99.150801. [arXiv:0704.2301 [astro-ph]]

Flambaum VV, Kozlov MG (2007b) Enhanced sensitivity to variation of the fine structure constant and $m_p/m_e$ in diatomic molecules. Phys Rev Lett 99:150801. https://doi.org/10.1103/PhysRevLett.99.150801. [arXiv:0705.0849 [physics.atom-ph]]

Flambaum VV, Munro-Laylim P (2023) Spacetime variation of the $s$ and $c$ quark masses. Phys Rev D 107(1):015004. https://doi.org/10.1103/PhysRevD.107.015004. [arXiv:2211.03325 [hep-ph]]

Flambaum VV, Porsev SG (2009) Enhanced sensitivity to the fine-structure constant variation in Th IV atomic clock transition. Phys Rev A 80:064502. https://doi.org/10.1103/PhysRevA.80.064502. [arXiv:0910.3459 [physics.atom-ph]]

Flambaum VV, Porsev SG (2010) Comment on ‘21-cm radiation: a new probe of variation in the fine-structure constant’. Phys Rev Lett 105:039001. https://doi.org/10.1103/PhysRevLett.105.039001. [arXiv:1004.2540 [astro-ph.CO]]

Flambaum VV, Samsonov IB (2023) Fluctuations of atomic energy levels due to axion dark matter. Phys Rev D 108(7):075022. https://doi.org/10.1103/PhysRevD.108.075022. [arXiv:2302.11167 [hep-ph]]

Flambaum VV, Shuryak EV (2002) Limits on cosmological variation of strong interaction and quark masses from Big Bang nucleosynthesis, cosmic, laboratory and Oklo data. Phys Rev D 65:103503. https://doi.org/10.1103/PhysRevD.65.103503. [arXiv:hep-ph/0201303]

Flambaum VV, Shuryak EV (2003) Dependence of hadronic properties on quark and constraints on their cosmological variation. Phys Rev D 67:083507. https://doi.org/10.1103/PhysRevD.67.083507. [arXiv:hep-ph/0212403]

Flambaum VV, Shuryak EV (2008) How changing physical constants and violation of local position invariance may occur? In: Danielewicz P, Piecuch P, Zelevinsky V (eds) Nuclei and mesoscopic physics. AIP conference proceedings, vol 995. American Institute of Physics, Melville, pp 1–11. https://doi.org/10.1063/1.2915601. [arxiv:physics/0701220]

Flambaum VV, Tedesco AF (2006) Dependence of nuclear magnetic moments on quark masses and limits on temporal variation of fundamental constants from atomic clock experiments. Phys Rev C 73:055501. https://doi.org/10.1103/PhysRevC.73.055501. [arXiv:nucl-th/0601050]

Flambaum VV, Wiringa RB (2007) Dependence of nuclear binding on hadronic mass variation. Phys Rev C 76:054002. https://doi.org/10.1103/PhysRevC.76.054002. [arXiv:0709.0077 [nucl-th]]

Flambaum VV, Wiringa RB (2009) Enhanced effect of quark mass variation in $^{229}$Th and limits from Oklo data. Phys Rev C 79:034302. https://doi.org/10.1103/PhysRevC.79.034302. [arXiv:0807.4943 [nucl-th]]

Flambaum VV, Leinweber DB, Thomas AW, Young RD (2004) Limits on the temporal variation of the fine structure constant, quark masses and strong interaction from quasar absorption spectra and atomic clock experiments. Phys Rev D 69:115006 [arxiv:hep-ph/0402098]

Flambaum VV, Auerbach N, Dmitriev VF (2009a) Coulomb energy contribution to the excitation energy in Th-229. EPL 85(5):50005. https://doi.org/10.1209/0295-5075/85/50005. [arXiv:0807.3218 [nucl-th]]

Flambaum VV, Lambert S, Pospelov M (2009b) Scalar-tensor theories with pseudo-scalar couplings. Phys Rev D 80:105021. https://doi.org/10.1103/PhysRevD.80.105021. [arXiv:0902.3217 [hep-ph]]

Flambaum VV, Stadnik YV, Kozlov MG, Petrov AN (2013) Enhanced effects of temporal variation of the fundamental constants in $^2\Pi_{1/2}$-term diatomic molecules: $^{207}\text{Pb}$ $^{19}\text{F}$. Phys Rev A 88(5):052124. https://doi.org/10.1103/PhysRevA.88.052124. [arXiv:1310.2767 [physics.atom-ph]]

Flowers JL, Petley BW (2001) Progress in our knowledge of the fundamental constants of physics. Rep Prog Phys 64:1191. https://doi.org/10.1088/0034-4885/64/10/201]
Fortier TM, Ashby N, Bergquist JC, Delaney MJ, Diddams SA, Heavner TP, Hollberg L, Itano WM, Jefferts SR, Kim K, Levi F, Lorini L, Oskay WH, Parker TE, Shirley J, Stalnaker JE (2007) Precision atomic spectroscopy for improved limits on variation of the fine structure constant and local position invariance. Phys Rev Lett 98:070801. https://doi.org/10.1103/PhysRevLett.98.070801

Franchino-Viñas SA, Mosquera ME (2021) The cosmological lithium problem, varying constants and the $H_0$ tension. arXiv e-prints arXiv:2107.02243 [astro-ph.CO]

Fray S, Diez CA, Hänsch TW, Weitz M (2004) Atomic interferometer with amplitude gratings of light and its applications to atom based tests of the equivalence principle. Phys Rev Lett 93:240404. https://doi.org/10.1103/PhysRevLett.93.240404

Freire P, Wex N, Esposito-Farese G, Verbiest J, Bailes M, Jacoby BA, Kramer M, Stairs IH, Antoniadis J, Janssen GH (2012) The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity. Mon Not R Astron Soc 423:3328. https://doi.org/10.1111/j.1365-2966.2012.21253.x. arXiv:1205.1450 [astro-ph.GA]

Frieman JA, Gradwohl BA (1991) Dark matter and the equivalence principle. Phys Rev Lett 67:2926-2929. https://doi.org/10.1103/PhysRevLett.67.2926

Frion E, Giani L, Miranda T (2021) Black hole shadow drift and photon ring frequency drift. Open J Astrophys 4(1):9. https://doi.org/10.21105/astro.2107.13526. arXiv:2107.13536 [gr-qc]

Fritzsche H (2009a) The fundamental constants, a mistery of physics. World Scientific, Singapore

Fritzsche H (2009b) The fundamental constants in physics. Phys Usp 52:359. https://doi.org/10.3367/UFNe.0179.200904d.0383. arXiv:0902.2989 [hep-ph]

Froustey J, Pitrou C, Volpe MC (2020) Neutrino decoupling including flavour oscillations and primordial nucleosynthesis. JCAP 12:015. https://doi.org/10.1088/1475-7516/2020/12/015. arXiv:2008.01074 [hep-ph]

Fuchs E, Kirk F, Madge E, Paranjape C, Peik E, Perez G, Ratzinger W, Tiedau J (2025) Searching for dark matter with the $^{229}$Th nuclear lineshape from laser spectroscopy. Phys Rev X 15:021055. https://doi.org/10.1103/PhysRevX.15.02105 arXiv:2407.15924 [hep-ph]

Fujii Y (2009) Accelerating universe and the time-dependent fine-structure constant. Mem Soc Astron Ital 80:780

Fujii Y, Iwamoto A (2003) Re/OS constraint on the time variability of the fine structure constant. Phys Rev Lett 91:261101. https://doi.org/10.1103/PhysRevLett.91.261101. arXiv:hep-ph/0309087

Fujii Y, Iwamoto A (2005) How strongly does dating meteorites constrain the time-dependence of the fine-structure constant? Mod Phys Lett A 20:2417-2434. https://doi.org/10.1142/S0217732305018499. arXiv:hep-ph/0508072

Fujii Y, Iwamoto A, Fukahori T, Ohnuki T, Nakagawa M, Hidaka H, Oura Y, Möller P (2000) The nuclear interaction at Oklo 2 billion years ago. Nucl Phys B 573:377. https://doi.org/10.1016/S0550-3213(00)00038-9. arXiv:hep-ph/9809549

Furlanetto S, Pritchard JR (2006) The scattering of Lyman-series photons in the intergalactic medium. Mon Not R Astron Soc 372:1093-1103. https://doi.org/10.1111/j.1365-2966.2006.10899.x. arXiv:astro-ph/0605680

Furlanetto SR, Oh SP, Briggs FH (2006) Cosmology at low frequencies: the 21 cm transition and the high-redshift universe. Phys Rep 433:181. https://doi.org/10.1016/j.physrep.2006.08.002. arXiv:astro-ph/0608032

Furnstahl RJ, Serot BD (2000) Parameter counting in relativistic mean-field models. Nucl Phys A 671:447. https://doi.org/10.1016/S0375-9474(99)00839-8. arXiv:nucl-th/9911019

Fuzfa A, Alimi JM (2007) Toward a unified description of dark energy and dark matter from the AWE hypothesis. Phys Rev D 75:123007. https://doi.org/10.1103/PhysRevD.75.123007. arXiv:astro-ph/0702478

Gacesa M, Côté R (2014) Photoassociation of ultracold molecules near a Feshbach resonance as a probe of the electron-proton mass ratio variation. J Mol Spectrosc 300:124-130. https://doi.org/10.1016/j.jms.2014.03.005

Galli S (2013) Clusters of galaxies and variation of the fine structure constant. Phys Rev D 87(12):123516. https://doi.org/10.1103/PhysRevD.87.123516. arXiv:1212.1075 [astro-ph.CO]

Gambini R, Pullin J (2003) Discrete quantum gravity: a mechanism for selecting the value of fundamental constants. Int J Mod Phys D 12:1775-1781. https://doi.org/10.1142/S0218271803004018. arXiv:gr-qc/0306095

Gamow G (1967) Electricity, gravity and cosmology. Phys Rev Lett 19:759. https://doi.org/10.1103/PhysRevLett.19.759
Gan X, Liu D (2023) Cosmologically varying kinetic mixing. JHEP 11:031. https://doi.org/10.1007/JHEP11(2023)031. arXiv:2302.03056 [hep-ph]

García-Berro E, Hernanz M, Isern J, Mochkovitch R (1995) The rate of change of the gravitational constant and the cooling of white dwarfs. Mon Not R Astron Soc 277:801–810

García-Berro E, Kubyshin Y, Loren-Aguilar P, Isern J (2006) The variation of the gravitational constant inferred from the Hubble diagram of Type Ia supernovae. Int J Mod Phys D 15:1163–1174. https://doi.org/10.1142/S0218271806008772. arXiv:gr-qc/0512164

García-Berro E, Isern J, Kubyshin YA (2007) Astronomical measurements and constraints on the variability of fundamental constants. Astron Astrophys Rev 14:113–170. https://doi.org/10.1007/s00159-006-0004-8. arXiv:astro-ph/0409424

García-Berro E, Loren-Aguilar P, Torres S, Althaus LG, Isern J (2011) An upper limit to the secular variation of the gravitational constant from white dwarf stars. JCAP 05:021. https://doi.org/10.1088/1475-7516/2011/05/021. arXiv:1105.1992 [gr-qc]

Garriga J, Vilenkin A (2000) On likely values of the cosmological constant. Phys Rev D 61:083502. https://doi.org/10.1103/PhysRevD.61.083502. arXiv:astro-ph/9908115

Gasperini M, Piazza F, Veneziano G (2002) Quintessence as a runaway Dilaton. Phys Rev D 65:023508. https://doi.org/10.1103/PhysRevD.65.023508

Gasser J, Leutwyler H (1982) Quark masses. Phys Rep 87:77. https://doi.org/10.1016/0370-1573(82)90035-7

Gay PL, Lambert DL (2000) The isotopic abundances of magnesium in stars. Astrophys J 533:260. https://doi.org/10.1086/308653. arXiv:astro-ph/9911217

Gaztañaga E, García-Berro E, Isern J, Bravo E, Dominguez I (2002) Bounds on the possible evolution of the gravitational constant from cosmological type Ia supernovae. Phys Rev D 65:023506

Ge F, Cyr-Racine FY, Knox L (2023) Scaling transformations and the origins of light relics constraints from cosmic microwave background observations. Phys Rev D 107(2):023517. https://doi.org/10.1103/PhysRevD.107.023517. arXiv:2210.16335 [astro-ph.CO]

Gegelia J, Meißner UG (2019) Vacuum energy in the effective field theory of general relativity. Phys Rev D 100(4):046021. https://doi.org/10.1103/PhysRevD.100.046021. arXiv:1904.03433 [hep-th]

Gell-Mann M (1983) Introductory talk. In: Shelter Island II: proceedings of the 1983 Shelter Island conference on quantum field theory and the fundamental problems of physics. MIT Press, pp 301–343

Giani L, Frion E (2020) Testing the equivalence principle with strong lensing time delay variations. JCAP 09:008. https://doi.org/10.1088/1475-7516/2020/09/008. arXiv:2005.07533 [astro-ph.CO]

Giri A, Scherrer RJ (2024) Big Bang nucleosynthesis with rapidly varying G. Phys Rev D 109(10):103521. https://doi.org/10.1103/PhysRevD.109.103521. arXiv:2312.06525 [astro-ph.CO]

Giudice GF (2008) Naturally speaking: the naturalness criterion and physics at the LHC. In: Kane G, Pierce A (eds) Perspectives on LHC physics. World Scientific, Singapore, pp 155–178. https://doi.org/10.1142/9789812779762_0010arXiv:0801.2562 [hep-ph]

Godun RM, Nisbet-Jones P, Jones JM, King SA, Johnson L, Margolis HS, Szymaniec K, Lea SN, Bongs K, Gill P (2014) Frequency ratio of two optical clock transitions in Yb+171 and constraints on the time variation of fundamental constants. Phys Rev Lett 113(21):210801. https://doi.org/10.1103/PhysRevLett.113.210801. arXiv:1407.0164 [physics.atom-ph]

Goldman I (1990) Upper limit on *G* variability derived from the spin-down of PSR 0655+64. Mon Not R Astron Soc 244:184–187

Gonçalves RS, Landau S, Alcaniz JS, Holanda R (2020) Variation in the fine-structure constant and the distance-duality relation. JCAP 06:036. https://doi.org/10.1088/1475-7516/2020/06/036. arXiv:1907.02118 [astro-ph.CO]

Gough G (1981) Solar interior structure and luminosity variations. Sol Phys 74:21–34. https://doi.org/10.1007/BF00151270

Gould CR, Sharapov EI, Lamoreaux SK (2006) Time-variability of $\alpha$ from realistic models of Oklo reactors. Phys Rev C 74:024607. https://doi.org/10.1103/PhysRevC.74.024607. arXiv:nucl-ex/0701019

Gradwohl BA, Frieman JA (1992) Dark matter, long range forces, and large scale structure. Astrophys J 398:407–424. https://doi.org/10.1086/171865

Granda LN, Escobar LD (2009) Holographic dark energy with non-minimal coupling. arXiv e-prints arXiv:0910.0515 [hep-th]
Griest K, Whitmore JB, Wolfe AM, Prochaska JX, Howk JC, Marcy GW (2010) Wavelengths accuracy of the Keck HIRES spectrograph and measuring changes in the fine structure constant. Astrophys J 708:158. https://doi.org/10.1088/0004-637X/708/1/158. arXiv:0904.4725 [astro-ph.CO]

Gross DJ, Sloan JH (1987) The quartic effective action for the heterotic string. Nucl Phys B 291:41-89. https://doi.org/10.1016/0550-3213(87)90465-2

Grupe D, Pradhan AK, Frank S (2005) Studying the variation of the fine structure constant using emission-line multiplets. Astron J 130:355. https://doi.org/10.1086/430886. arxiv:astro-ph/0504027

Gué J, Hees A, Wolf P (2024) Violation of the equivalence principle induced by oscillating rest mass and transition frequency, and its detection in atom interferometers. Phys Rev D 110(3):035005. https://doi.org/10.1103/PhysRevD.110.035005. arXiv:2401.14742 [hep-ph]

Guena J, Abgrall M, Rovera D, Rosenbusch P, Tobar ME, Laurent P, Clairon A, Bize S (2012) Improved tests of local position invariance using Rb-87 and Cs-133 fountains. Phys Rev Lett 109:080801. https://doi.org/10.1103/PhysRevLett.109.080801. arXiv:1205.4235 [physics.atom-ph]

Guenther DB, Sills K, Demarque P, Krauss LM (1995) Sensitivity of solar g-modes to varying G cosmologies. Astrophys J 445:148-151. https://doi.org/10.1086/175680

Guenther DB, Krauss LM, Demarque P (1998) Testing the constancy of the gravitational constant using helioseismology. Astrophys J 498:871-876. https://doi.org/10.1086/305567

Gundlach JH, Merkowitz SM (2000) Measurement of Newton's constant using a torsion balance with angular acceleration feedback. Phys Rev Lett 85:2869. https://doi.org/10.1103/PhysRevLett.85.2869

Gupta N, Momjian E, Srianand R, Petitjean P, Noterdaeme P, Gyanchandani D, Sharma R, Kulkarni S (2018) Discovery of OH absorption from a galaxy at z ~ 0.05: implications for large surveys with SKA pathfinders. Astrophys J Lett 860(2):L22. https://doi.org/10.3847/2041-8213/aac9cd

Gurzadyan VG, Bellini V, Beretta M, Bocquet JP, D'Angelo A, Di Salvo R, Fantini A, Franco D, Gervino G, Giardina G, Ghio F, Girolami B, Giusa A, Kashin A, Khachatryan HG, Knyazyan S, Lapik A, Levi Sandri P, Lleres A, Mammoliti F, Mandaglio G, Manganaro M, Margarian A, Mehrabyan S, Messi R, Moricciani D, Nedorezov V, Rebreyend D, Russo G, Rudnev N, Schaerf C, Sperduto ML, Sutera MC, Turinge A, Vegna V (2010) A new limit on the light speed isotropy from the GRAAL experiment at the ESRF. arXiv e-prints arXiv:1004.2867 [physics.acc-ph]

Gutiérrez M, López-Corredoira (2010) The value of the fine structure constant over cosmological times. Astrophys J 713:46-51. https://doi.org/10.1088/0004-637X/713/1/46. arXiv:1002.4777

Hall LJ, Nomura Y (2008) Evidence for the multiverse in the standard model and beyond. Phys Rev D 78:035001. https://doi.org/10.1103/PhysRevD.78.035001. arXiv:0712.2454 [hep-ph]

Hamilton P, Jaffe M, Haslinger P, Simmons Q, Müller H, Khoury J (2015) Atom-interferometry constraints on dark energy. Science 349(6250):849-851. https://doi.org/10.1126/science.aaa8883. arXiv:1502.03888

Hanneke D, Fogwell S, Gabrielse G (2008) New measurement of the electron magnetic moment and the fine structure constant. Phys Rev Lett 100:120801. https://doi.org/10.1103/PhysRevLett.100.120801. arXiv:0801.1134 [physics.atom-ph]

Hanneke D, Carollo RA, Lane DA (2016) High sensitivity to variation in the proton-to-electron mass ratio in O2+. Phys Rev A 94(5):050101. https://doi.org/10.1103/PhysRevA.94.050101. arXiv:1607.06825 [physics.atom-ph]

Hanneke D, Kuzhan B, Lunstad A (2021) Optical clocks based on molecular vibrations as probes of variation of the proton-to-electron mass ratio. Quantum Sci Technol 6(1):014005. https://doi.org/10.1088/2058-9565/abc863. arXiv:2007.15750 [physics.atom-ph]

Hannestad S (1999) Possible constraints on the time variation of the fine structure constant from cosmic microwave background data. Phys Rev D 60:023515. https://doi.org/10.1103/PhysRevD.60.023515. arXiv:astro-ph/9810102

von Harling B, Servant G (2017) Cosmological evolution of Yukawa couplings: the 5D perspective. JHEP 05:077. https://doi.org/10.1007/JHEP05(2017)077. arXiv:1612.02447 [hep-ph]

Harnik R, Kribs GD, Perez G (2006) A universe without weak interactions. Phys Rev D 74:035006. https://doi.org/10.1103/PhysRevD.74.035006. arXiv:hep-ph/0604027

Hart L, Chluba J (2018) New constraints on time-dependent variations of fundamental constants using Planck data. Mon Not R Astron Soc 474(2):1850-1861. https://doi.org/10.1093/mnras/stx2783. arXiv:1705.03925 [astro-ph.CO]

Hart L, Chluba J (2020) Updated fundamental constant constraints from Planck 2018 data and possible relations to the Hubble tension. Mon Not R Astron Soc 493(3):3255-3263. https://doi.org/10.1093/mnras/staa412. arXiv:1912.03986 [astro-ph.CO]
Hart L, Chluba J (2022) Varying fundamental constants principal component analysis: additional hints about the Hubble tension. Mon Not R Astron Soc 510(2):2206-2227. https://doi.org/10.1093/mnras/stab2777. arXiv:2107.12465 [astro-ph.CO]

Hart L, Chluba J (2023) Using the cosmological recombination radiation to probe early dark energy and fundamental constant variations. Mon Not R Astron Soc 519(3):3664-3680. https://doi.org/10.1093/mnras/stac3697. arXiv:2209.12290 [astro-ph.CO]

Haugan MP, Will CM (1976) Weak interactions and Eötvös experiments. Phys Rev Lett 37:1. https://doi.org/10.1103/PhysRevLett.37.1

Hayes AC, Friar JL (2007) Sensitivity of nuclear transition frequencies to temporal variation of the fine structure constant or the strong interaction. Phys Lett B 650:229 arXiv:nucl-th/0702048

He XT, Ren ZZ (2008) Temporal variation of the fine structure constant and the strong interaction parameter in the Th-229 transition. Nucl Phys A 806:117-123. https://doi.org/10.1016/j.nuclphysa.2008.03.002

Hees A, Guéna J, Abgrall M, Bize S, Wolf P (2016) Searching for an oscillating massive scalar field as a dark matter candidate using atomic hyperfine frequency comparisons. Phys Rev Lett 117(6):061301. https://doi.org/10.1103/PhysRevLett.117.061301. arXiv:1604.08514 [gr-qc]

Hees A, Minazzoli O, Savalle E, Stadnik YV, Wolf P (2018) Violation of the equivalence principle from light scalar dark matter. Phys Rev D 98(6):064051. https://doi.org/10.1103/PhysRevD.98.064051. arXiv:1807.04512 [gr-qc]

Hees A et al (2020) Search for a variation of the fine structure constant around the supermassive black hole in our galactic center. Phys Rev Lett 124(8):081101. https://doi.org/10.1103/PhysRevLett.124.081101. arXiv:2002.11567 [astro-ph.GA]

Heintzmann H, Hillebrandt H (1975) Pulsar slow-down and the temporal change of G. Phys Lett A 54:349. https://doi.org/10.1016/0375-9601(75)90764-1

Hellings RW, Adams PJ, Anderson JD, Keesey MS, Lau EL, Standish EM, Canuto VM, Goldman I (1983) Experimental test of the variability of G using Viking lander ranging data. Phys Rev Lett 51:1609-1612. https://doi.org/10.1103/PhysRevLett.51.1609

Henkel C, Braatz JA, Menten KM, Ott J (2008) The kinetic temperature of a molecular cloud at redshift 0.9: ammonia in the gravitational lens PKS1830-211. Astron Astrophys 485:451. https://doi.org/10.1051/0004-6361:20079140. arXiv:0808.1539 [astro-ph]

Henkel C, Menten KM, Murphy MT, Jethava N, Flambaum VV, Braatz JA, Muller S, Ott J, Mao RQ (2009) The density, the cosmic microwave background, and the proton-to-electron mass ratio in a cloud at redshift 0.9. Astron Astrophys 500:745. https://doi.org/10.1051/0004-6361/200811475. arXiv:0904.3081 [astro-ph.CO]

Herrmann S, Rätzel D (2023) Quantum tests of gravity. Lect Notes Phys 1017:449-476. https://doi.org/10.1007/978-3-031-31520-6_14

Herrmann S, Finke F, Lülf M, Kichakova O, Puetzfeld D, Knickmann D, List M, Rievers B, Giorgi G, Günther C, Dittus H, Prieto-Cerdeira R, Dilssner F, Gonzalez F, Schönemann E, Ventura-Traveset J, Lämmerzahl C (2018) Test of the gravitational redshift with Galileo satellites in an eccentric orbit. Phys Rev Lett 121:231102. https://doi.org/10.1103/PhysRevLett.121.231102

Hidaka H, Holliger P (1998) Geochemical and neutronic characteristics of the natural fossil fission reactors at Oklo and Bangombé, Gabon. Geochim Cosmochim Acta 62:89

Hill HA, Gu YM (1990) Extension of range in radial order in detection and mode classification of solar low-degree gravity modes. Sci China Ser A 33:854-866

Hinterbichler K, Khoury J (2010) Screening long-range forces through local symmetry restoration. Phys Rev Lett 104:231301. https://doi.org/10.1103/PhysRevLett.104.231301

Hinterbichler K, Khoury J, Levy A, Matas A (2011) Symmetron cosmology. Phys Rev D 84:103521. https://doi.org/10.1103/PhysRevD.84.103521

Hofmann F, Muller J, Biskupek L (2010) Lunar laser ranging test of the Nordtvedt parameter and a possible variation in the gravitational constant. Astron Astrophys 522:L5. https://doi.org/10.1051/0004-6361/201015659

Hogan CJ (2000) Why the universe is just so. Rev Mod Phys 72:1149-1161. https://doi.org/10.1103/RevModPhys.72.1149. arXiv:astro-ph/9909295

Hogan CJ (2006) Nuclear astrophysics of worlds in the string landscape. Phys Rev D 74:123514. https://doi.org/10.1103/PhysRevD.74.123514. arXiv:astro-ph/0602104

Hogan CJ (2007) Quarks, electrons and atoms in closely related universes. In: Carr BJ (ed) Universe or multiverse? Cambridge University Press, Cambridge, pp 221-230 arXiv:astro-ph/0407086

Hojman S, Kuchar K, Teitelboim C (1976) Geometrodynamics regained. Ann Phys 96:88-135
Holanda R, Landau SJ, Alcaniz JS, Sanchez G, Busti VC (2016) Constraints on a possible variation of the fine structure constant from galaxy cluster data. JCAP 05:047. https://doi.org/10.1088/1475-7516/2016/05/047. arXiv:1510.07240 [astro-ph.CO]

Holanda R, Colaço LR, Pereira SH, Silva R (2019) Galaxy cluster Sunyaev–Zel'dovich effect scaling-relation and type IA supernova observations as a test for the cosmic distance duality relation. JCAP 06:008. https://doi.org/10.1088/1475-7516/2019/06/008. arXiv:1904.01342 [astro-ph.CO]

Holliger P, Devillers C (1981) Contribution à l'étude de la température dans les réacteurs fossiles d'Oklo par la mesure du rapport isotopique du lutétium. Earth Planet Sci Lett 42:76

Hooft G (1980) Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking. In: Hooft G, Itzykson C, Jaffe A, Lehmann H, Mitter PK, Singer IM, Stora R (eds) Recent developments in Gauge theories. Springer, Boston, pp 135–157. https://doi.org/10.1007/978-1-4684-7571-5_9

Horndeski GW (1974) Second-order scalar-tensor field equations in a four-dimensional space. Int J Theor Phys 10(10):363. https://doi.org/10.1007/BF01807638

Hoshiya K, Toda Y (2023) Electron mass variation from dark sector interactions and compatibility with cosmological observations. Phys Rev D 107(4):043505. https://doi.org/10.1103/PhysRevD.107.043505. arXiv:2202.07714 [astro-ph.CO]

Hořava P, Witten E (1996) Heterotic and type I string dynamics from eleven-dimension. Nucl Phys B 460:506–524. https://doi.org/10.1016/0550-3213(95)00621-4. arxiv:hep-th/9510209

Hoyle CD, Kapner DJ, Heckel BR, Adelberger EG, Gundlach JH, Schmidt U, Swanson HE (2004) Submillimeter tests of the gravitational inverse-square law. Phys Rev D 70:042004. https://doi.org/10.1103/PhysRevD.70.042004. arxiv:hep-ph/0405262

Hoyle F (1954) On nuclear reactions occurring in very hot stars. I. The synthesis of elements from carbon to nickel. Astrophys J Suppl Ser 1:121. https://doi.org/10.1086/190005

Hoyle F (1965) Galaxies, nuclei and quasars. Harper & Row, New York

Hu J (2019) Searching for new physics using Hubble Space Telescope observations of white dwarfs. PhD thesis, University of New South Wales. https://doi.org/10.26190/unsworks/21573

Hu J et al (2019) Constraining the magnetic field on white dwarf surfaces; Zeeman effects and fine structure constant variation. Mon Not R Astron Soc 485(4):5050–5058. https://doi.org/10.1093/mnras/stz739. arXiv:1812.11480 [astro-ph.SR]

Hu J et al (2020) Measuring the fine-structure constant on a white dwarf surface; a detailed analysis of Fe v absorption in G191–B2B. Mon Not R Astron Soc 500(1):1466–1475. https://doi.org/10.1093/mnras/staa3066. arXiv:2007.10905 [astro-ph.SR]

Huntemann N, Lipphardt B, Tamm C, Gerginov V, Weyers S, Peik E (2014) Improved limit on a temporal variation of *m*<sub>p</sub>/*m*<sub>e</sub> from comparisons of Yb<sup>+</sup> and Cs atomic clocks. Phys Rev Lett 113(21):210802. https://doi.org/10.1103/PhysRevLett.113.210802. arXiv:1407.4408 [physics.atom-ph]

Ichikawa K, Kawasaki M (2005) Big Bang nucleosynthesis with a varying fine structure constant and nonstandard expansion rate. Phys Rev D 69:123506 arxiv:hep-ph/0401231

Ichikawa K, Kanzaki T, Kawasaki M (2006) CMB constraints on the simultaneous variation of the fine structure constant and electron mass. Phys Rev D 74:023515. https://doi.org/10.1103/PhysRevD.74.023515. arXiv:astro-ph/0602577

Ilyushin VV, Jansen P, Kozlov MG, Levshakov SA, Kleiner I, Ubachs W, Bethlem HL (2012) Sensitivity to a possible variation of the proton-to-electron mass ratio of torsion-wagging-rotation transitions in methylamine (*CH*3*NH*2). Phys Rev A 85:032505. https://doi.org/10.1103/PhysRevA.85.032505. arXiv:1201.2090 [physics.chem-ph]

Ivanchik A, Rodriguez E, Petitjean P, Varshalovich D (2002) Do the fundamental constants vary in the course of the cosmological evolution? Astron Lett 28:423. https://doi.org/10.1134/1.1491963. arxiv:astro-ph/0112323

Ivanchik A, Petitjean P, Varshalovich D, Aracil B, Srianand R, Chand H, Ledoux C, Boissé P (2005) A new constraint on the time dependence of the proton-to-electron mass ratio: analysis of the Q 0347-383 and Q 0405-443 spectra. Astron Astrophys 440:45–52. https://doi.org/10.1051/0004-6361:20052648. arxiv:astro-ph/0507174

Ivanov TL, Roudjane M, Vieitez MO, de Lange CA, Tchang-Brillet WU, Ubachs W (2009) HD as a probe for detecting mass variation on a cosmological time scale. Phys Rev Lett 100:093007. https://doi.org/10.1103/PhysRevLett.100.093007
Jackson Kimball DF (2015) Nuclear spin content and constraints on exotic spin-dependent couplings. *New J Phys* 17(7):073008. https://doi.org/10.1088/1367-2630/17/7/073008. arXiv:1407.2671 [physics.atom-ph]

Jaeckel J, Roy S (2010) Spectroscopy as a test of Coulomb’s law: a probe of the hidden sector. Phys Rev D 82:125020. https://doi.org/10.1103/PhysRevD.82.125020

Jaffe M, Haslinger P, Xu V, Hamilton P, Upadhye A, Elder B, Khoury J, Müller H (2017) Testing sub-gravitational forces on atoms from a miniature in-vacuum source mass. Nat Phys 13:938. https://doi.org/10.1038/nphys4189

Jaffe RL, Jenkins A, Kimchi I (2009) Quark masses: an environmental impact statement. Phys Rev D 79:065014. https://doi.org/10.1103/PhysRevD.79.065014. arXiv:0809.1647 [hep-ph]

Jain B, Vikram V, Sakstein J (2013a) Astrophysical tests of modified gravity: constraints from distance indicators in the nearby universe. Astrophys J 779(1):39. https://doi.org/10.1088/0004-637x/779/1/39

Jain B et al (2013b) Novel probes of gravity and dark energy. arXiv e-prints arXiv:1309.5389 [astro-ph.CO]

Jänecke J (1972) Coulomb energies of spherical nuclei. Nucl Phys A 181:49-75. https://doi.org/10.1016/0375-9474(72)90900-1

Jansen P, Xu LH, Kleiner I, Ubachs W, Bethlem HL (2011) Methanol as a sensitive probe for spatial and temporal variations of the proton-to-electron mass ratio. Phys Rev Lett 106:100801. https://doi.org/10.1103/PhysRevLett.106.100801

Jansen P, Xu LH, Kleiner I, Bethlem HL, Ubachs W (2013) Methyl mercaptan ($CH_3SH$) as a probe for variation of the proton-to-electron mass ratio. Phys Rev A 87(5):052509. https://doi.org/10.1103/PhysRevA.87.052509. arXiv:1304.5249 [physics.atom-ph]

Jansen P, Bethlem HL, Ubachs W (2014) Perspective: tipping the scales-search for drifting constants from molecular spectra. J Chem Phys 140:010901. https://doi.org/10.1063/1.4853735. arXiv:1312.1875 [physics.chem-ph]

Jeckelmann B, Piquemal F (2019) The elementary charge for the definition and realization of the ampere. Ann Phys 531(5):1800389. https://doi.org/10.1002/andp.201800389

Jedamzik K, Pogosian L, Zhao GB (2021) Why reducing the cosmic sound horizon alone can not fully resolve the Hubble tension. Commun Phys 4:123. https://doi.org/10.1038/s42005-021-00628-x. arXiv:2010.04158 [astro-ph.CO]

Jenkins JH, Fischbach E, Buncher JB, Gruenwald JT, Krause DE, Mattes JJ (2009) Evidence for correlations between nuclear decay rates and earth-sun distance. Astropart Phys 32:42. https://doi.org/10.1016/j.astropartphys.2009.05.004. arXiv:0808.3283 [astro-ph]

Jiang L, Fu S, Wang F, Bosman S, Cai Z, Jun HD, Pan Z, Sun F, Yang J, Zhang H (2025) Constraints on the variation of the fine-structure constant at $3 < z < 10$ with JWST emission-line galaxies. Astrophys J 980(1):93. https://doi.org/10.3847/1538-4357/adad5b. arXiv:2405.08977 [astro-ph.CO]

Jiang L et al (2024) Constraints on the spacetime variation of the fine-structure constant using DESI emission-line galaxies. Astrophys J 968(2):120. https://doi.org/10.3847/1538-4357/ad47b4. arXiv:2404.03123 [astro-ph.CO]

João SM, Martins C, Mota I, Vianez P (2015) On the stability of fundamental couplings in the galaxy. Phys Lett B 749:389-392. https://doi.org/10.1016/j.physletb.2015.08.018. arXiv:1508.06083 [hep-ph]

Jofré P, Reisenegger A, Fernández R (2006) Constraining a possible time-variation of the gravitational constant through ‘gravitochemical heating’ of neutron stars. Phys Rev Lett 97:131102. https://doi.org/10.1103/PhysRevLett.97.131102. arXiv:astro-ph/0606708

Johnstone-Stoney G (1881) On the physical units of nature. Philos Mag 5:381

Jordan P (1937) Die physikalischen Weltkonstanten. Naturwissenschaften 25:513-517. https://doi.org/10.1007/BF01498368

Joyce A, Jain B, Khoury J, Trodden M (2015) Beyond the cosmological standard model. Phys Rept 568:1-98. https://doi.org/10.1016/j.physrep.2014.12.002. arXiv:1407.0059 [astro-ph.CO]

Julião MD, Ferreira MC, Martins C, Monteiro A (2014) Probing unification scenarios with atomic clocks. Mem Soc Ast It 85(1):108-112 arXiv:1309.7763 [hep-ph]

Kajita M (2008) Prospects of detecting $m_e/m_p$ variance using vibrational transition frequencies of $^2\Sigma^-$ state molecules. Phys Rev A 77:012511. https://doi.org/10.1103/PhysRevA.77.012511
Kajita M (2017a) Accuracy estimation of the $^{16}$O$_2^-$ transition frequencies targeting the search for the variation in mp/me. Phys Rev A 95(2):023418. https://doi.org/10.1103/PhysRevA.95.023418. arXiv: 1611.03080 [physics.atom-ph]

Kajita M (2017b) Search for the variation in (mp/me) using two vibrational transition frequencies of molecular ions. J Phys Soc Jap 86(12):123301. https://doi.org/10.7566/JPSJ.86.123301

Kajita M, Moriwaki Y (2009) Proposed detection of variation in mp/me using a vibrational transition frequency of a CaH+ ion. J Phys B 42(15):154022. https://doi.org/10.1088/0953-4075/42/15/ 154022

Kalaydzhyan T, Yu N (2017) Extracting dark matter signatures from atomic clock stability measurements. Phys Rev D 96(7):075007. https://doi.org/10.1103/PhysRevD.96.075007. arXiv: 1705.05833 [hep-ph]

Kallosh R, Linde AD, Linde DA, Susskind L (1995) Gravity and global symmetries. Phys Rev D 52:912-935. https://doi.org/10.1103/PhysRevD.52.912. arXiv:hep-th/9502069

Kaluza T (1921) Zum Unitätsproblem in der Physik. Sitzungsber Preuss Akad Wiss 1921:966-972

Kane GL, Perry MJ, Zytkow AN (2002) The beginning of the end of the anthropic principle. New Astron 7:45-53. https://doi.org/10.1016/S1384-1076(01)00088-4

Kanekar N (2009) Probing fundamental constant evolution with radio spectroscopy. Mem Soc Astron Ital 80:895

Kanekar N (2011) Constraining changes in the proton-electron mass ratio with inversion and rotational lines. Astrophys J Lett 728:L12. https://doi.org/10.1088/2041-8205/728/1/L12. arXiv:1101.4029 [astro-ph.CO]

Kanekar N, Chengalur JN (2004) The use of OH 'main' lines to constrain the variation of fundamental constants. Mon Not R Astron Soc 350:L17. https://doi.org/10.1111/j.1365-2966.2004.07828.x. arxiv:astro-ph/0310765

Kanekar N, Carilli CL, Langston GI, Rocha G, Combes F, Subrahmanyan R, Stocke JT, Menten KM, Briggs FH, Wiklind T (2005) Constraints on changes in fundamental constants from a cosmologically distant OH absorber/emitter. Phys Rev Lett 95:261301. https://doi.org/10.1103/ PhysRevLett.95.261301. arXiv:astro-ph/0510760

Kanekar N, Subrahmanyan R, Ellison SL, Lane WM, Chengalur JN (2006) H I 21 cm absorption at z ~ 2.347 towards PKS B0438-436. Mon Not R Astron Soc 370:L46-L50. https://doi.org/10.1111/j. 1745-3933.2006.00186.x. arXiv:astro-ph/0605346

Kanekar N, Chengalur JN, Ghosh T (2010a) Probing fundamental constant evolution with redshifted conjugate-satellite OH lines. Astrophys J 716:L23. https://doi.org/10.1088/2041-8205/716/1/L23. arXiv:1004.5383 [astro-ph.CO]

Kanekar N, Prochaska JX, Ellison SL, Chengalur JN (2010b) Probing fundamental constant evolution with neutral atomic gas lines. Astrophys J 712:148 arXiv:1003.0444 [astro-ph.CO]

Kanekar N, Langston GI, Stocke JT, Carilli CL, Menten KM (2012) Constraining fundamental constant evolution with HI and OH lines. Astrophys J Lett 746:L16. https://doi.org/10.1088/2041-8205/746/ 2/L16. arXiv:1201.3372 [astro-ph.CO]

Kanekar N, Ubachs W, Menten KM, Bagdonaite J, Brunthaler A, Henkel C, Muller S, Bethlem HL, Daprà M (2015) Constraints on changes in the proton-electron mass ratio using methanol lines. Mon Not R Astron Soc 448(1):L104-L108. https://doi.org/10.1093/mnrasl/sl206. arXiv:1412.7757 [astro-ph.CO]

Kanekar N, Ghosh T, Chengalur JN (2018) Stringent constraints on fundamental constant evolution using conjugate 18 cm satellite OH lines. Phys Rev Lett 120(6):061302. https://doi.org/10.1103/ PhysRevLett.120.061302. arXiv:1801.07688 [astro-ph.CO]

Kaplinghat M, Scherrer RJ, Turner MS (1999) Constraining variations in the fine-structure constant with the cosmic microwave background. Phys Rev D 60:023516. https://doi.org/10.1103/PhysRevD.60. 023516. arXiv:astro-ph/9810133

Kapner DJ, Cook TS, Adelberger EG, Gundlach JH, Heckel BR, Hoyle CD, Swanson HE (2007) Tests of the gravitational inverse-square law below the dark-energy length scale. Phys Rev Lett 98:021101. https://doi.org/10.1103/PhysRevLett.98.021101

Karpikov I, Piskunov M, Troitsky S, Sokolov A (2015) Constraining spacetime variations of nuclear decay rates from light curves of type Ia supernovae. Phys Rev D 91(12):127301. https://doi.org/10. 1103/PhysRevD.91.127301. arXiv:1501.04909 [hep-ph]

Karshenboim SG (2005a) Fundamental physical constants: looking from different angles. Can J Phys 83:767. https://doi.org/10.1139/p05-047. arXiv:physics/0506173
Karshenboim SG (2005b) On a natural definition of the kilogram and the ampere: the objectives and consequences. arXiv e-prints arXiv:physics/0507200

Karshenboim SG (2005c) Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants. Phys Rep 422:1. https://doi.org/10.1016/j.physrep.2005.08.008. arxiv:hep-ph/0509010

Karshenboim SG (2006) The search for possible variation of the fine structure constant. Gen Relativ Gravit 38:159. https://doi.org/10.1007/s10714-005-0215-8. arxiv:physics/0311080

Kaspi VM, Taylor JH, Riba MF (1994) High-precision timing of millisecond pulsars. III. Long-term monitoring of PSRs B1855+09 and B1937+21. Astrophys J 428:713–728. https://doi.org/10.1086/174280

Keisler R et al (2011) A measurement of the damping tail of the cosmic microwave background power spectrum with the south pole telescope. Astrophys J 743:28. https://doi.org/10.1088/0004-637X/743/1/28. arXiv:1105.3182 [astro-ph.CO]

Kesden M, Kamionkowski M (2006) Tidal tails test the equivalence principle in the dark sector. Phys Rev D 74:083007. https://doi.org/10.1103/PhysRevD.74.083007. arXiv:astro-ph/0608095

Keselman JA, Nusser A, Peebles P (2010) Cosmology with equivalence principle breaking in the dark sector. Phys Rev D 81:063521. https://doi.org/10.1103/PhysRevD.81.063521. arXiv:0912.4177 [astro-ph.CO]

Ketchum JA, Adams FC (2008) The future evolution of white dwarf stars through baryon decay and time varying gravitational constant. Astrophys Space Sci 317(3-4):221-230. https://doi.org/10.1007/s10509-008-9878-4. arXiv:0808.1301 [astro-ph]

Khalife AR, Zanjani MB, Galli S, Günther S, Lesgourgues J, Benabed K (2024) Review of Hubble tension solutions with new SH0ES and SPT-3G data. JCAP 04:059. https://doi.org/10.1088/1475-7516/2024/04/059. arXiv:2312.09814 [astro-ph.CO]

Khatri R, Wandelt B (2007) 21-cm radiation: a new probe of variation in the fine-structure constant. Phys Rev Lett 98:111201. https://doi.org/10.1103/PhysRevLett.98.111201. arXiv:astro-ph/0701752

Khatri R, Wandelt BD (2009) 21cm radiation: a new probe of fundamental physics. Mem Soc Astron Ital 80:824 arXiv:0910.2710 [astro-ph.CO]

Khatri R, Wandelt BD (2010) Reply. Phys Rev Lett 105:039002. https://doi.org/10.1103/PhysRevLett.105.039002. arXiv:1007.1963 [astro-ph.CO]

Khoury J (2010) Theories of dark energy with screening mechanisms. arXiv e-prints arXiv:1011.5909 [astro-ph.CO]

Khoury J, Weltman A (2004a) Chameleon cosmology. Phys Rev D 69:044026. https://doi.org/10.1103/PhysRevD.69.044026. arxiv:astro-ph/0309300

Khoury J, Weltman A (2004b) Chameleon fields: awaiting surprises for tests of gravity in space. Phys Rev Lett 93:171104. https://doi.org/10.1103/PhysRevLett.93.171104. arXiv:astro-ph/0309411

Kim H, Perez G (2024) Oscillations of atomic energy levels induced by QCD axion dark matter. Phys Rev D 109(1):015005. https://doi.org/10.1103/PhysRevD.109.015005. arXiv:2205.12988 [hep-ph]

King JA, Webb JK, Murphy MT, Carswell RF (2008) Stringent null constraint on cosmological evolution of the proton-to-electron mass ratio. Phys Rev Lett 101:251304. https://doi.org/10.1103/PhysRevLett.101.251304. arXiv:0807.4366 [astro-ph]

King JA, Murphy MT, Ubachs W, Webb JK (2011) New constraint on cosmological variation of the proton-to-electron mass ratio from Q0528-250. Mon Not R Astron Soc 417:3010. https://doi.org/10.1111/j.1365-2966.2011.19460.x. arXiv:1106.5786 [astro-ph.CO]

King JA, Webb JK, Murphy MT, Flambaum VV, Carswell RF, Bainbridge MB, Wilczynska MR, Koch FE (2012a) Spatial variation in the fine-structure constant—new results from VLT/UVES. Mon Not R Astron Soc 422:3370–3413. https://doi.org/10.1111/j.1365-2966.2012.20852.x. arXiv:1202.4758 [astro-ph.CO]

King JA, Webb JK, Murphy MT, Flambaum VV, Carswell RF, Bainbridge MB, Wilczynska MR, Koch FE (2012b) Spatial variation in the fine-structure constant—new results from VLT/UVES. Mon Not R Astron Soc 422:3370–3413. https://doi.org/10.1111/j.1365-2966.2012.20852.x. arXiv:1202.4758 [astro-ph.CO]

King RA, Siddiqi A, Allen WD, Schaefer HF (2010) Chemistry as a function of the fine-structure constant and the electron–proton mass ratio. Phys Rev A 81:042523. https://doi.org/10.1103/PhysRevA.81.042523

Kiritsis E (1999) Supergravity, D-brane probes and thermal super Yang-Mills: a comparison. J High Energy Phys 1999(10):010. https://doi.org/10.1088/1126-6708/1999/10/010. arXiv:hep-th/9906206
Klein O (1926) Quantum theory and five-dimensional relativity theory. Z Phys 37:894-906. https://doi.org/10.1080/01422418608228771. (reprinted in Surveys High Energ. Phys., 5, 241-244, (1986))

Kneller JP, Steigman G (2003) Big Bang nucleosynthesis and CMB constraints on dark energy. Phys Rev D 67:063501. https://doi.org/10.1103/PhysRevD.67.063501

Knox L, Millea M (2020) Hubble constant Hunter's guide. Phys Rev D 101(4):043533. https://doi.org/10.1103/PhysRevD.101.043533. arXiv:1908.03663 [astro-ph.CO]

Kobayashi J, Ogino A, Inouye S (2019) Measurement of the variation of electron-to-proton mass ratio using ultracold molecules produced from laser-cooled atoms. Nature Commun 10(1):3771. https://doi.org/10.1038/s41467-019-11761-1. arXiv:1908.08722 [physics.atom-ph]

Kobayashi T, Takamizawa A, Akamatsu D, Kawasaki A, Nishiyama A, Hosaka K, Hisai Y, Wada M, Inaba H, Tanabe T, Yasuda M (2022) Search for ultralight dark matter from long-term frequency comparisons of optical and microwave atomic clocks. Phys Rev Lett 129:241301. https://doi.org/10.1103/PhysRevLett.129.241301

Kofman L (2003) Probing string theory with modulated cosmological fluctuations. arXiv e-prints arXiv:astro-ph/0303614

Kofman L, Bernardeau F, Uzan JP (2004) Modulated fluctuations from hybrid inflation. Phys Rev D 70:083004 arxiv:astro-ph/0403315

Kokish MG, Stollenwerk PR, Kajita M, Odom BC (2018) Prospects for a polar-molecular-ion optical probe of varying proton-electron mass ratio. Phys Rev A 98(5):052513. https://doi.org/10.1103/PhysRevA.98.052513. arXiv:1710.08589 [physics.atom-ph]

Kolb EW, Perry MJ, Walker TP (1986) Time variation of fundamental constants, primordial nucleosynthesis and the size of extra dimensions. Phys Rev D 33:869. https://doi.org/10.1103/PhysRevD.33.869

Komatsu E, Dunkley J, Nolta MR, Bennett CL, Gold B, Hinshaw G, Jarosik N, Larson D, Limon M, Page L, Spergel DN, Halpern M, Hill RS, Kogut A, Meyer SS, Tucker GS, Weiland JL, Wollack E, Wright EL (2009) Five-year Wilkinson microwave anisotropy probe (WMAP) observations: cosmological interpretation. Astrophys J Suppl Ser 180:330-376. https://doi.org/10.1088/0067-0049/180/2/330. arXiv:0803.0547 [astro-ph]

Komatsu E et al (2011) Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: cosmological interpretation. Astrophys J Suppl 192:18. https://doi.org/10.1088/0067-0049/192/2/18. arXiv:1001.4538 [astro-ph.CO]

Kondov SS, Lee CH, Leung KH, Liedl C, Majewska I, Moszynski R, Zelevinsky T (2019) Molecular lattice clock with long vibrational coherence. Nature Phys 15(11):1118-1122. https://doi.org/10.1038/s41567-019-0632-3. arXiv:1904.04891 [physics.atom-ph]

Korennov S, Descouvemont P (2004) A microscopic three-cluster model in the hyperspherical formalism. Nucl Phys A 740:249. https://doi.org/10.1016/j.nuclphysa.2004.05.013

Kostelecký V, Lehnert R, Perry MJ (2003) Spacetime-varying couplings and Lorentz violation. Phys Rev D 68:123511. https://doi.org/10.1103/PhysRevD.68.123511. arXiv:astro-ph/0212003

Kotuš SM, Murphy MT, Carswell RF (2017) High-precision limit on variation in the fine-structure constant from a single quasar absorption system. Mon Not R Astron Soc 464(3):3679-3703. https://doi.org/10.1093/mnras/stw2543. arXiv:1609.03860 [astro-ph.CO]

Kovalesky J (2006) Report on the working group of the Académie des sciences on base units and fundamental constants. CIPM report, 95th Meet part 6 4, p 181. https://www.bipm.org/documents/20126/17315032/CIPM95.pdf.zip

Kozlov MG (2011) Sensitivity of microwave transition in H2O2 to variation of the electron-to-proton mass ratio. Phys Rev A 84:042120. https://doi.org/10.1103/PhysRevA.84.042120. arXiv:1108.4520 [astro-ph.CO]

Kozlov MG (2013) Linear polyatomic molecules with Π ground state: sensitivity to variation of the fundamental constants. Phys Rev A 87(3):032104. https://doi.org/10.1103/PhysRevA.87.032104. arXiv:1211.5397 [physics.atom-ph]

Kozlov MG, Levshakov SA (2011) Sensitivity of the H3O+ inversion-rotational spectrum to changes in m_e/m_p. Astrophys J 726:65. https://doi.org/10.1088/0004-637X/726/2/65. arXiv:1009.3672 [astro-ph.CO]

Kozlov MG, Levshakov SA (2013) Microwave and submillimeter molecular transitions and their dependence on fundamental constants. Ann Phys 525(7):452-471. https://doi.org/10.1002/andp201300010. arXiv:1304.4510 [physics.atom-ph]
Kozlov MG, Porsev SG, Levshakov SA, Reimers D, Molaro P (2008) Mid- and far-infrared fine-structure line sensitivities to hypothetical variability of the fine-structure constant. Phys Rev A 77:032119. https://doi.org/10.1103/PhysRevA.77.032119. arXiv:0802.0269 [astro-ph]

Kozlov MG, Lapinov AV, Levshakov SA (2009) Sensitivity of microwave and FIR spectra to variation of fundamental constants. Mem Soc Astron Ital 80:901-904. arXiv:0910.4799

Kozlov MG, Safronova MS, Crespo López-Urruti JR, Schmidt PO (2018) Highly charged ions: optical clocks and applications in fundamental physics. Rev Mod Phys 90(4):045005. https://doi.org/10.1103/RevModPhys.90.045005. arXiv:1803.06532 [physics.atom-ph]

Kraiselburd L, Vucetich H (2011) Violation of the weak equivalence principle in Bekenstein's theory. Int J Mod Phys E 20:101-111. https://doi.org/10.1142/S0218301311017351. arXiv:0902.4146 [gr-qc]

Krastev PG, Li AA (2007) Constraining a possible time variation of the gravitational constant G with terrestrial nuclear laboratory data. Phys Rev C 76:055804. https://doi.org/10.1103/PhysRevC.76.055804. arXiv:nucl-th/0702080

Kuroda PK (1956) On the nuclear physical stability of uranium mineral. J Chem Phys 25:781. https://doi.org/10.1063/1.1743058

Laker MA, Camacho CD, Jones D, Moody J (2022) The flux ratio of the [OIII]λλ5007,4959 doublet with redshift. Symmetry 14(2):266. https://doi.org/10.3390/sym14020266

Lamoreaux SK, Togerson JR (2004) Neutron moderation in the Oklo natural reactor and the time variation of $\alpha$. Phys Rev D 69:12170. https://doi.org/10.1103/PhysRevD.69.121701. arXiv:nucl-th/0309048

Lamoreaux SK, Jacobs JP, Heckel BR, Raab FJ, Fortson EN (1986) New limits on spatial anisotropy from optically-pumped $^{201}$Hg and $^{199}$Hg. Phys Rev Lett 57:3125-3128. https://doi.org/10.1103/PhysRevLett.57.3125

Landau SJ, Scóccola CG (2010) Constraints on variation in $\alpha$ and $m_e$ from WMAP 7-year data. Astron Astrophys 517:A62. https://doi.org/10.1051/0004-6361/201014215. arXiv:1002.1603 [astro-ph.CO]

Landau SJ, Vucetich H (2002) Testing theories that predict time variation of fundamental constants. Astrophys J 570:463. https://doi.org/10.1086/339775. arXiv:astro-ph/0005316

Landau SJ, Harari DD, Zaldarriaga M (2001) Constraining non-standard recombination: a worked example. Phys Rev D 63:083505. https://doi.org/10.1103/PhysRevD.63.083505. arXiv:astro-ph/0010415

Landau SJ, Bersten M, Sisterna P, Vucetich H (2006a) Testing a string Dilaton model with experimental and observational data. In: Greece SA (ed) New developments in string theory research. Nova Science, New York, pp 153-173 arXiv:astro-ph/0410030

Landau SJ, Mosquera ME, Vucetich H (2006b) Primordial nucleosynthesis with varying of fundamental constants: a semi-analytical approach. Astrophys J 637:38. https://doi.org/10.1086/431417. arXiv:astro-ph/0411150

Landau SJ, Mosquera ME, Scoccola CG, Vucetich H (2008) Early universe constraints on time variation of fundamental constants. Phys Rev D 78:083527. https://doi.org/10.1103/PhysRevD.78.083527. arXiv:0809.2033 [astro-ph]

Landsman K (2016) The fine-tuning argument: exploring the improbability of our existence. In: Landsman K, van Wolde E (eds) The challenge of chance: a multidisciplinary approach from science and the humanities. Springer, Cham, pp 111-129. https://doi.org/10.1007/978-3-319-26300-7_6arXiv:1505.05359 [physics.hist-ph]

Langacker P (2004) Time variation of fundamental constants as a probe of new physics. Int J Mod Phys A 19S1:157-166. https://doi.org/10.1142/S0217751X04018671. arXiv:hepp/0304093

Langacker P (2017) The standard model and beyond. Taylor & Francis, Milton Park. https://doi.org/10.1201/b22175

Langacker P, Segre G, Strassler MJ (2002) Implications of gauge unification for time variation of the fine structure constant. Phys Lett B 528:121 arXiv:hep-ph/0112233

Lange R, Huntemann N, Rahm JM, Sanner C, Shao H, Lipphardt B, Tamm C, Weyers S, Peik E (2021) Improved limits for violations of local position invariance from atomic clock comparisons. Phys Rev Lett 126(1):011102. https://doi.org/10.1103/PhysRevLett.126.011102. arXiv:2010.06620 [physics.atom-ph]

Langlois D, Noui K (2016) Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability. JCAP 2016(02):034. https://doi.org/10.1088/1475-7516/2016/02/034

Le Targat R, Lorini L, Le Coq Y, Zawada M, Guéna J et al (2013) Experimental realization of an optical second with strontium lattice clocks. Nature Comm 4:2109. https://doi.org/10.1038/ncomms3109
Ledoux C, Petitjean P, Fynbo J, Moller P, Srianand R (2006) Velocity-metallicity correlation for high-z DLA galaxies: evidence for a mass-metallicity relation? Astron Astrophys 457:71–78. https://doi.org/10.1051/0004-6361:20054242. arXiv:astro-ph/0606185

Lee CC, Webb JK, Milaković D, Carswell RF (2021) Non-uniqueness in quasar absorption models and implications for measurements of the fine structure constant. Mon Not R Astron Soc 507(1):27–42. https://doi.org/10.1093/mnras/stab2005. arXiv:2102.11648 [astro-ph.CO]

Lee CC, Webb JK, Dougan D, Dzuba VA, Flambaum VV (2022) Measuring the fine structure constant on white dwarf surfaces; uncertainties from continuum placement variations. arXiv e-prints arXiv:2212.00434 [astro-ph.IM]

Lee CC, Webb JK, Carswell RF, Dzuba VA, Flambaum VV, Milaković D (2023a) Varying alpha, blinding, and bias in existing measurements. Mon Not R Astron Soc 521(1):850–865. https://doi.org/10.1093/mnras/stad600. arXiv:2212.00791 [astro-ph.CO]

Lee CC, Webb JK, Dougan D, Dzuba VA, Flambaum VV, Milaković D (2025) Searching for new physics using high precision absorption spectroscopy; continuum placement uncertainties and the fine structure constant in strong gravity. Open J Astrophys 8:34. https://doi.org/10.33232/001c.134037. arXiv:2410.01849 [astro-ph.SR]

Lee D, Meißner UG, Olive KA, Shifman M, Vonk T (2020) $\theta$-dependence of light nuclei and nucleosynthesis. Phys Rev Res 2(3):033392. https://doi.org/10.1103/PhysRevResearch.2.033392. arXiv:2006.12321 [hep-ph]

Lee DS, Lee W, Ng KW (2005) Bound on the time variation of the fine structure constant driven by quintessence. Int J Mod Phys D 14:335 arxiv:astro-ph/0309316

Lee N, Ali-Haïmoud Y, Schöneberg N, Poulin V (2023b) What it takes to solve the Hubble tension through modifications of cosmological recombination. Phys Rev Lett 130(16):161003. https://doi.org/10.1103/PhysRevLett.130.161003. arXiv:2212.04494 [astro-ph.CO]

Lee S (2007) Time variation of fine structure constant and proton–electron mass ratio with quintessence. Mod Phys Lett A 22:2003. https://doi.org/10.1142/S0217732307025236. arxiv:astro-ph/0702063

Leefer N, Weber C, Cingöz A, Torgerson JR, Budker D (2013) New limits on variation of the fine-structure constant using atomic dysprosium. Phys Rev Lett 111:060801. https://doi.org/10.1103/PhysRevLett.111.060801. arXiv:1304.6940 [physics.atom-ph]

Leinweber DB, Lu DH, Thomas AW (1999) Nucleon magnetic moments beyond the perturbative chiral regime. Phys Rev D 60:034014. https://doi.org/10.1103/PhysRevD.60.034014. arxiv:hep-lat/981005

Leite A, Martins C (2016) Current and future constraints on Bekenstein-type models for varying couplings. Phys Rev D 94(2):023503. https://doi.org/10.1103/PhysRevD.94.023503. arXiv:1607.01677 [astro-ph.CO]

Leite A, Martins C, Pedrosa P, Nunes NJ (2014) Fundamental cosmology from precision spectroscopy: varying couplings. Phys Rev D 90(6):063519. https://doi.org/10.1103/PhysRevD.90.063519. arXiv:1409.3963 [astro-ph.CO]

Leite A, Martins C, Molaro P, Corre D, Cristiani S (2016) Dark energy constraints from ESPRESSO tests of the stability of fundamental couplings. Phys Rev D 94(12):123512. https://doi.org/10.1103/PhysRevD.94.123512. arXiv:1612.05284 [astro-ph.CO]

Lemmel H, Brax P, Ivanov A, Jenke T, Pignol G, Pitschmann M, Potocar T, Wellenzohn M, Zawisky M, Abele H (2015) Neutron interferometry constrains dark energy chameleon fields. Phys Lett B 743:310–314. https://doi.org/10.1016/j.physletb.2015.02.063

Lemos T, Gonçalves RS, Carvalho JC, Alcaniz JS (2023) Cosmological model-independent constraints on the baryon fraction in the IGM from fast radio bursts and supernovae data. Eur Phys J C 83(2):138. https://doi.org/10.1140/epjc/s10052-023-11275-7. arXiv:2205.07926 [astro-ph.CO]

Lemos T, Gonçalves R, Carvalho J, Alcaniz J (2025) A search for the fine-structure constant evolution from fast radio bursts and type Ia supernovae data. JCAP 01:059. https://doi.org/10.1088/1475-7516/2025/01/059. arXiv:2406.11691 [astro-ph.CO]

Lentati L et al (2013) Variations in the fundamental constants in the QSO Host J1148+5251 at $z = 6.4$ and the BR1202-0725 system at $z = 4.7$. Mon Not R Astron Soc 430:2454. https://doi.org/10.1093/mnras/stt070. arXiv:1211.3316 [astro-ph.CO]

Leslie J (1989) Universes. Routledge, London

Leszczynska K, Dabrowski MP, Denkiewicz T (2019) Varying constants driven baryogenesis. Eur Phys J C 79(3):222. https://doi.org/10.1140/epjc/s10052-019-6744-1. arXiv:1804.10045 [hep-th]

Levshakov SA (2004) Astrophysical constraints on hypothetical variability of fundamental constants. In: Karshenboim SG, Peik E (eds) Astrophysics, clocks and fundamental constants, vol 648. Lecture
notes in physics. Springer, Berlin, pp 151–166. https://doi.org/10.1007/978-3-540-40991-5_10arxiv:astro-ph/0309817

Levshakov SA (2016) Testing the variation of fundamental constants by astrophysical methods: overview and prospects. In: Grinin VP, Harutyunian H, Kholtygin V, Nikoghossian A (eds) Radiation mechanisms of astrophysical objects: classics today. Edit Print, Yerevan, p 323 arXiv:1603.01262 [astro-ph.IM]

Levshakov SA, Centurión M, Molaro P, Se DO (2006a) Most precise single redshift bound to $\Delta\alpha/\alpha$. Astrophys J 637:38. https://doi.org/10.1051/0004-6361:20053827. arXiv:astro-ph/0511765

Levshakov SA, Centurión M, Molaro P, Kostina MV (2006b) VLT/UVES constraints on the carbon isotope ratio $^{12}$C/$^{13}$C at $z = 1.15$ toward the quasar HE 0515-4414. Astron Astrophys 447:L21. https://doi.org/10.1051/0004-6361:200600001. arXiv:astro-ph/0602303

Levshakov SA, Molaro P, Lopez S, D'Odorico S, Centurión M, Bonifacio P, Agafonova II, Reimers D (2007) A new measure of $\Delta\alpha/\alpha$ at redshift $z = 1.84$ from very high resolution spectra of Q 1101-264. Astron Astrophys 466:1077–1082. https://doi.org/10.1051/0004-6361:20066064. arXiv:astro-ph/0703042

Levshakov SA, Molaro P, Kozlov MG (2008a) On spatial variations of the electron-to-proton mass ratio in the Milky Way. arXiv e-prints arXiv:0808.0583 [astro-ph]

Levshakov SA, Reimers D, Kozlov MG, Porsev SG, Molaro P (2008b) A new approach for testing variations of fundamental constants over cosmic epochs using FIR fine-structure lines. Astron Astrophys 479:719. https://doi.org/10.1051/0004-6361:20079116. arXiv:0712.2890 [astro-ph]

Levshakov SA, Agafonova II, Molaro P, Reimers D (2009) Spatial and temporal variations of fundamental constants. Mem Soc Astron Ital 80:850–858

Levshakov SA, Lapinov AV, Henkel C, Molaro P, Reimers D, Kozlov MG, Agafonova II (2010a) Searching for chameleon-like scalar fields with the ammonia method II. Mapping of cold molecular cores in NH$_3$ and HC$_3$ N lines. Astron Astrophys 524:A32. https://doi.org/10.1051/0004-6361/201015332. arXiv:1008.1160 [astro-ph.CO]

Levshakov SA, Molaro P, Lapinov AV, Reimers D, Henkel C, Sakai T (2010b) Searching for chameleon-like scalar fields with the ammonia method. Astron Astrophys 512:A44. https://doi.org/10.1051/0004-6361/201015332. arXiv:0911.3732 [astro-ph.CO]

Levshakov SA, Molaro P, Reimers D (2010c) Searching for spatial variations of $\alpha^2/\mu$ in the Milky Way. Astron Astrophys 516:A113. https://doi.org/10.1051/0004-6361/200913558. arXiv:1004.0783 [astro-ph.CO]

Levshakov SA, Kozlov MG, Reimers D (2011) Methanol as a tracer of fundamental constants. Astrophys J 738:26. https://doi.org/10.1088/0004-637X/738/1/26. arXiv:1106.1569 [astro-ph.CO]

Levshakov SA, Combes F, Boone F, Agafonova II, Reimers D, Kozlov MG (2012) An upper limit to the variation in the fundamental constants at redshift $z = 5.2$. Astron Astrophys 540:L9. https://doi.org/10.1051/0004-6361/201219042. arXiv:1203.3649 [astro-ph.CO]

Levshakov SA, Reimers D, Henkel C, Winkel B, Mignano A, Centurion M, Molaro P (2013) Limits on the spatial variations of the electron-to-proton mass ratio in the Galactic plane. Astron Astrophys 559:A91. https://doi.org/10.1051/0004-6361/201322535. arXiv:1310.1850 [astro-ph.GA]

Levshakov SA, Henkel C, Reimers D, Molaro P (2014) Limits on the space-time variations of fundamental constants. Mem Soc Ast It 85(1):90–95 arXiv:1307.8266 [astro-ph.CO]

Levshakov SA, Ng KW, Henkel C, Mookerjea B (2017) [CI], [CII] and CO emission lines as a probe for $\alpha$ variations at low and high redshifts. Mon Not R Astron Soc 471(2):2143–2150. https://doi.org/10.1093/mnras/stx1782. arXiv:1707.03760 [astro-ph.GA]

Levshakov SA, Ng KW, Henkel C, Mookerjea B, Agafonova II, Liu SY, Wang WH (2019) Testing the weak equivalence principle by differential measurements of fundamental constants in the Magellanic clouds. Mon Not R Astron Soc 487(4):5175–5187. https://doi.org/10.1093/mnras/stz1628. arXiv:1906.03682 [astro-ph.CO]

Levshakov SA, Kozlov MG, Agafonova II (2020) Constraints on the electron-to-proton mass ratio variation at the epoch of reionization. Mon Not R Astron Soc 498(3):3624–3632. https://doi.org/10.1093/mnras/staa2635. arXiv:2008.11143 [astro-ph.CO]

Levshakov SA, Agafonova II, Henkel C, Kim KT, Kozlov MG, Lankhaar B, Yang W (2022) Probing the electron-to-proton mass ratio gradient in the Milky Way with Class I methanol masers. Mon Not R Astron Soc 511(1):413–424. https://doi.org/10.1093/mnras/stac024. arXiv:2112.14560 [astro-ph.GA]
Lévy H, Uzan JP (2025) Testing screened scalar-tensor theories of gravity with atomic clocks. Phys Rev D 111(6):064012. https://doi.org/10.1103/PhysRevD.111.064012. arXiv:2410.17292 [gr-qc]

Lévy H, Bergé J, Uzan JP (2022) Solving nonlinear Klein-Gordon equations on unbounded domains via the finite element method. Phys Rev D 106(12):124021. https://doi.org/10.1103/PhysRevD.106.124021. arXiv:2209.07226 [gr-qc]

Lévy-Leblond JM (1979) The importance of being (a) constant. In: Toraldo di Francia G (ed) Problems in the foundations of physics. North-Holland, New York, pp 237–263

Lewis A, Challinor A (2007) The 21 cm angular-power spectrum from dark ages. Phys Rev D 76:083005. https://doi.org/10.1103/PhysRevD.76.083005. arXiv:astro-ph/0702600

Li B, Chu MC (2006a) Big Bang nucleosynthesis constraints on universal extra dimensions and varying fundamental constants. Phys Rev D 73:025004 [arxiv:astro-ph/0511013]

Li B, Chu MC (2006b) Big Bang nucleosynthesis with an evolving radion in the brane world scenario. Phys Rev D 73:023509. https://doi.org/10.1103/PhysRevD.73.023509. arXiv:astro-ph/0511642

Li B, Mota DF, Barrow JD (2011) Varying alpha from N-body simulations. Astrophys J 728:108. https://doi.org/10.1088/0004-637X/728/2/108. arXiv:1009.1396 [astro-ph.CO]

Li G, Sun L, Chen X, Zhou H (2023) Time variation of fine-structure constant constrained by [O iii] emission-lines at 1.1 < z < 3.7. Mon Not R Astron Soc 527(3):4913–4935. https://doi.org/10.1093/mnras/stad3240. arXiv:2310.17947 [astro-ph.GA]

Li K, Arif M, Cory DG, Haun R, Heacock B, Huber MG, Nsofini J, Pushin DA, Saggu P, Sarenac D, Shahi CB, Skavysh V, Snow WM, Young AR (2016) Neutron limit on the strongly-coupled chameleon field. Phys Rev D 93:062001. https://doi.org/10.1103/PhysRevD.93.062001

Li YC, Wu FQ, Chen X (2013) Constraints on the Brans-Dicke gravity theory with the Planck data. Phys Rev D 88:084053. https://doi.org/10.1103/PhysRevD.88.084053. arXiv:1305.0055 [astro-ph.CO]

Lichnerowicz A (1955) Théories Relativistes de la Gravitation et de l'Électromagnétisme: Relativité Générale et Théories Unitaires. Masson, Paris

Lindner M, Leich DA, Borg RJ, Russ GP, Bazan JM, Simons DS, Date AR (1986) Direct laboratory determination of the <sup>187</sup>Re half-life. Nature 320:246–248. https://doi.org/10.1038/320246a0

Lisdat C, Grosche G, Quintin N et al (2016) A clock network for geodesy and fundamental science. Nat Commun 7:12443. https://doi.org/10.1038/ncomms12443

Litvinova E, Feldmeier H, Dobaczewski J, Flambaum V (2009) Nuclear structure of lowest Th-229 states and time-dependent fundamental constants. Phys Rev C 79:064303. https://doi.org/10.1103/PhysRevC.79.064303. arXiv:0901.1240 [nucl-th]

Liu ZE, Liu WF, Zhang TJ, Zhai ZX, Bora K (2021) Probing the time variation of a fine structure constant using galaxy clusters and the quintessence model. Astrophys J 922(1):19. https://doi.org/10.3847/1538-4357/ac2150. arXiv:2109.00134 [astro-ph.CO]

Livio M, Hollowell D, Weiss A, Truran JW (1989) On the anthropic significance of the existence of an excited state of <sup>12</sup>C. Nature 340:281–284. https://doi.org/10.1038/340281a0

LNE (2019) Le SI et la métrologie en France. EDP Sciences, Paris

Lopes I, Silk J (2001) The implications for helioseismology of experimental uncertainties in Newton's constant. arXiv e-prints arXiv:astro-ph/0112310

Lopez-Honorez L, Mena O, Palomares-Ruiz S, Villanueva-Domingo P, Witte SJ (2020) Variations in fundamental constants at the cosmic dawn. JCAP 06:026. https://doi.org/10.1088/1475-7516/2020/06/026. arXiv:2004.00013 [astro-ph.CO]

Lorén-Aguilar P, García-Berro E, Isern J, Kubyshin YA (2003) Time variation of *G* and *z* within models with extra dimensions. Class Quantum Grav 20:3885–3896. https://doi.org/10.1088/0264-9381/20/18/302. arXiv:astro-ph/0309722

Lovelock D (1971) The Einstein tensor and its generalizations. J Math Phys 12(3):498–501. https://doi.org/10.1063/1.1665613

Ludlow AD, Boyd MM, Ye J, Peik E, Schmidt PO (2015) Optical atomic clocks. Rev Mod Phys 87:637–701. https://doi.org/10.1103/RevModPhys.87.637

Lugmair GW, Galer SJ (1992) Age and isotopic relationships among the angrite Lewis Cliff 86010 and Angra dos Reis. Geochim Cosmochim Acta 56:1673. https://doi.org/10.1016/0016-7037(92)90234-A

Luo F, Olive KA, Uzan JP (2011) Gyromagnetic factors and atomic clock constraints on the variation of fundamental constants. Phys Rev D 84:096004. https://doi.org/10.1103/PhysRevD.84.096004. arXiv:1107.4154 [hep-ph]
Ma CP, Bertschinger E (1995) Cosmological perturbation theory in the synchronous and conformal Newtonian gauge. Astrophys J 455:7-25. https://doi.org/10.1086/176550. arxiv:astro-ph/9506072

MacGibbon JH (2007) Black hole constraints on varying fundamental constants. Phys Rev Lett 99:061301. https://doi.org/10.1103/PhysRevLett.99.061301

Madau P, Fragos T (2017) Radiation backgrounds at cosmic dawn: X-rays from compact binaries. Astrophys J 840(1):39. https://doi.org/10.3847/1538-4357/aa6af9. arXiv:1606.07887 [astro-ph.GA]

Maeda KI (1988) On time variation of fundamental constants in superstring theories. Mod Phys Lett A 3:243-249. https://doi.org/10.1142/S0217732388000295

Magano D, Vilas Boas J, Martins C (2017) Current and future white dwarf mass-radius constraints on varying fundamental couplings and unification scenarios. Phys Rev D 96(8):083012. https://doi.org/10.1103/PhysRevD.96.083012. arXiv:1710.05828 [astro-ph.CO]

Magnani P, Schiavon M, Smith ARH, Terno DR, Vallone G, Vedovato F, Villoresi P, Vinjanampathy S (2019) Quantum satellites and tests of relativity. In: 15th Marcel Grossmann meeting on recent developments in theoretical and experimental general relativity, astrophysics, and relativistic field theories. arXiv:1906.04415 [quant-ph]

Magueijo J (2003) New varying speed of light theories. Rep Prog Phys 66:2025-2068. https://doi.org/10.1088/0034-4885/66/11/R04. arxiv:astro-ph/0305457

Maiolino R et al (2013) A community science case for E-ELT HIRES. arXiv e-prints arXiv:1310.3163 [astro-ph.IM]

Malec AL, Buning R, Murphy MT, Milutinovic N, Ellison SL, Prochaska JX, Kaper L, Tumlinson J, Carswell RF, Ubachs W (2009) New limit on a varying proton-to-electron mass ratio from high-resolution optical quasar spectra. Mem Soc Astron Ital 80:882-887

Maleki L, Prestage J (2004) Search for new physics with atomic clocks. In: Karshenboim SG, Peik E (eds) Astrophysics, clocks and fundamental constants, vol 648. Lecture Notes in Physics. Springer, Berlin, pp 331-341. https://doi.org/10.1007/978-3-540-40991-5_10

Mansfield VN (1976) Pulsar spin down and cosmologies with varying gravity. Nature 261:560. https://doi.org/10.1038/261560a0

Mantry S (2010) Probing long range scalar dark forces in terrestrial experiments. AIP Conf Proc 1241(1):1025-1032. https://doi.org/10.1063/1.3462596. arXiv:0911.4508 [hep-ph]

Mantz AB et al (2021) Cosmological constraints from gas mass fractions of massive, relaxed galaxy clusters. Mon Not R Astron Soc 510(1):131-145. https://doi.org/10.1093/mnras/stab3390. arXiv:2111.09343 [astro-ph.CO]

Marciano WJ (1984) Time variation of the fundamental 'constants' and Kaluza-Klein theories. Phys Rev Lett 52:489-491. https://doi.org/10.1103/PhysRevLett.52.489

Marcori OH, Pitrou C, Uzan JP, Pereira TS (2018) Direction and redshift drifts for general observers and their applications in cosmology. Phys Rev D 98(2):023517. https://doi.org/10.1103/PhysRevD.98.023517. arXiv:1805.12121 [astro-ph.CO]

Mariano A, Perivolaropoulos L (2012) Is there correlation between fine structure and dark energy cosmic dipoles? Phys Rev D 86:083517. https://doi.org/10.1103/PhysRevD.86.083517. arXiv:1206.4055 [astro-ph.CO]

Mariano A, Perivolaropoulos L (2013) CMB maximum temperature asymmetry axis: alignment with other cosmic asymmetries. Phys Rev D 87(4):043511. https://doi.org/10.1103/PhysRevD.87.043511. arXiv:1211.5915 [astro-ph.CO]

Marion H, Pereira Dos Santos F, Abgrall M, Zhang S, Sortais Y, Bize S, Maksimovic I, Calonico D, Grünert J, Mandache C, Lemonde P, Santarelli G, Laurent P, Clairon A, Salomon C (2003) A search for variations of fundamental constants using atomic fountain clock. Phys Rev Lett 90:150801. https://doi.org/10.1103/PhysRevLett.90.150801. arxiv:physics/0212112

Marra V, Perivolaropoulos L (2021) Rapid transition of Geff at $zt \approx 0.01$ as a possible solution of the Hubble and growth tensions. Phys Rev D 104(2):L021303. https://doi.org/10.1103/PhysRevD.104.L021303. arXiv:2102.06012 [astro-ph.CO]

Marra V, Rosati F (2005) Cosmological evolution of alpha driven by a general coupling with quintessence. JCAP 2005(05):011. https://doi.org/10.1088/1475-7516/2005/05/011. arxiv:astro-ph/0501515

Marsh D, Silk J (2014) A model for Halo formation with axion mixed dark matter. Mon Not R Astron Soc 437(3):2652-2663. https://doi.org/10.1093/mnras/stt2079. arXiv:1307.1705 [astro-ph.CO]

Marshall MA, Ellingsen SP, Lovell J, Dickey JM, Voronkov MA, Breen SL (2017) Methanol absorption in PKS B1830-211 at milliarcsecond scales. Mon Not R Astron Soc 466(2):2450-2457. https://doi.org/10.1093/mnras/stw3295. arXiv:1612.05847 [astro-ph.GA]
Martin J, Schimd C, Uzan JP (2006) Testing for $w < -1$ in the solar system. Phys Rev Lett 96:061303. https://doi.org/10.1103/PhysRevLett.96.061303. arxiv:astro-ph/0510208

Martinelli M, Menegoni E, Melchiorri A (2012) Future constraints on variations of the fine structure constant from combined CMB and weak lensing measurements. Phys Rev D 85:123526. https://doi.org/10.1103/PhysRevD.85.123526. arXiv:1202.4373 [astro-ph.CO]

Martinelli M et al (2021) Euclid: constraining dark energy coupled to electromagnetism using astrophysical and laboratory data. Astron Astrophys 654:A148. https://doi.org/10.1051/0004-6361/202141353. arXiv:2105.09746 [astro-ph.CO]

Martínez Fiorenzano AF, Vladilo G, Bonifacio P (2003) Search for $\alpha$ variation in UVES spectra: analysis of C IV and Si IV doublets towards QSO 1101-264. Mem Soc Astron Ital 3:252-255 arxiv:astro-ph/0312270

Martins C (2017) The status of varying constants: a review of the physics, searches and implications. Rep Prog Phys 80:126902. https://doi.org/10.1088/1361-6633/aa860e. arXiv:1709.02923 [astro-ph.CO]

Martins C (2021) Primordial nucleosynthesis with varying fundamental constants: degeneracies with cosmological parameters. Astron Astrophys 646:A47. https://doi.org/10.1051/0004-6361/202039605. arXiv:2012.10505 [astro-ph.CO]

Martins C, Pinho A (2015) Fine-structure constant constraints on dark energy. Phys Rev D 91(10):103501. https://doi.org/10.1103/PhysRevD.91.103501. arXiv:1505.02196 [astro-ph.CO]

Martins C, Pinho A (2017) Stability of fundamental couplings: a global analysis. Phys Rev D 95(2):023008. https://doi.org/10.1103/PhysRevD.95.023008. arXiv:1701.08724 [astro-ph.CO]

Martins C, Vacher I (2019) Astrophysical and local constraints on string theory: runaway Dilaton models. Phys Rev D 100(12):123514. https://doi.org/10.1103/PhysRevD.100.123514. arXiv:1911.10821 [astro-ph.CO]

Martins C, Vila Miñana M (2019) Consistency of local and astrophysical tests of the stability of fundamental constants. Phys Dark Univ 25:100301. https://doi.org/10.1016/j.dark.2019.100301. arXiv:1904.07896 [astro-ph.CO]

Martins C, Melchiorri A, Rocha G, Trotta R, Avelino PP, Viana P (2004) WMAP constraints on varying $\alpha$ and the promise of reionization. Phys Lett B 585:29-34. https://doi.org/10.1016/j.physletb.2003.11.080. arXiv:astro-ph/0302295

Martins C, Menegoni E, Galli S, Mangano G, Melchiorri A (2010) Varying couplings in the early universe: correlated variations of $\alpha$ and $G$. Phys Rev D 82:023532. https://doi.org/10.1103/PhysRevD.82.023532. arXiv:1001.3418 [astro-ph.CO]

Martins C, Pinho A, Alves R, Pino M, Rocha C, von Wietersheim M (2015a) Dark energy and equivalence principle constraints from astrophysical tests of the stability of the fine-structure constant. JCAP 08:047. https://doi.org/10.1088/1475-7516/2015/08/047. arXiv:1508.06157 [astro-ph.CO]

Martins C, Vielzeuf PE, Martinelli M, Calabrese E, Pandolfi S (2015b) Evolution of the fine-structure constant in runaway Dilaton models. Phys Lett B 743:377-382. https://doi.org/10.1016/j.physletb.2015.03.002. arXiv:1503.05068 [astro-ph.CO]

Martins C, Pinho A, Carreira P, Gusart A, López J, Rocha C (2016) Fine-structure constant constraints on dark energy: II. Extending the parameter space. Phys Rev D 93(2):023506. https://doi.org/10.1103/PhysRevD.93.023506. arXiv:1601.02950 [astro-ph.CO]

Martins C, Ferreira F, Marto PV (2022a) Varying fine-structure constant cosmography. Phys Lett B 827:137002. https://doi.org/10.1016/j.physletb.2022.137002. arXiv:2203.02781 [astro-ph.CO]

Martins C et al (2022b) Fundamental physics with ESPRESSO: constraints on Bekenstein and dark energy models from astrophysical and local probes*. Phys Rev D 105(12):123507. https://doi.org/10.1103/PhysRevD.105.123507. arXiv:2205.13848 [astro-ph.CO]

Martins C et al (2024) Cosmology and fundamental physics with the ELT-ANDES spectrograph. Exper Astron 57(1):5. https://doi.org/10.1007/s10686-024-09928-w. arXiv:2311.16274 [astro-ph.CO]

Mastrogiovanni S, Steer D, Barsuglia M (2020) Probing modified gravity theories and cosmology using gravitational-waves and associated electromagnetic counterparts. Phys Rev D 102(4):044009. https://doi.org/10.1103/PhysRevD.102.044009. arXiv:2004.01632 [gr-qc]

Matsas GEA, Pleitez V, Saa A, Vanzella DAT (2007) The number of dimensional fundamental constants. arXiv e-prints arXiv:0711.4276 [physics.class-ph]

Matsas G, Pleitez V, Saa A, Vanzella D (2024) The number of fundamental constants from a spacetime-based perspective. Sci Rep 14(1):22594. https://doi.org/10.1038/s41598-024-71907-0. arXiv:2311.09249 [gr-qc]
Matsumoto A et al (2022) EMPRESS. VIII. A new determination of primordial he abundance with extremely metal-poor galaxies: a suggestion of the lepton asymmetry and implications for the Hubble tension. Astrophys J 941(2):167. https://doi.org/10.3847/1538-4357/ac9ea1. arXiv:2203. 09617 [astro-ph.CO]

Mc Vittie G (1962) Appendix to the change of redshift and apparent luminosity of galaxies due to the deceleration of selected expanding universes. Astrophys J 136:334. https://doi.org/10.1086/147385

McGrew W, Zhang X, Leopardi H, Fasano R, Nicolodi D et al (2019a) Towards the optical second: verifying optical clocks at the SI limit. Optica 6:448. https://doi.org/10.1364/OPTICA.6.000448

McGrew W, Zhang X, Leopardi H, Fasano R, Nicolodi D et al (2019b) Towards the optical second: verifying optical clocks at the SI limit: supplementary materials. Optica 6:448. https://doi.org/10. 6084/m9.fishshare.7832189.v1

McGuire BA (2018) 2018 Census of interstellar, circumstellar, extragalactic, protoplanetary disk, and exoplanetary molecules. Astrophys J Suppl Ser 239(2):17. https://doi.org/10.3847/1538-4365/ aae5d2. arXiv:1809.09132 [astro-ph.GA]

Meißner UG, Metsch BC, Meyer H (2023) The electromagnetic fine-structure constant in primordial nucleosynthesis revisited. Eur Phys J A 59(10):223. https://doi.org/10.1140/epja/s10050-023-01131- 3. arXiv:2305.15849 [hep-th]

Menegoni E, Galli S, Bartlett J, Martins C, Melchiorri A (2009) New constraints on variations of the fine structure constant from CMB anisotropies. Phys Rev D 80:087302. https://doi.org/10.1103/ PhysRevD.80.087302. arXiv:0909.3584 [astro-ph.CO]

Menegoni E, Archidiacono M, Calabrese E, Galli S, Martins C, Melchiorri A (2012) The fine structure constant and the CMB damping scale. Phys Rev D 85:107301. https://doi.org/10.1103/PhysRevD. 85.107301. arXiv:1202.1476 [astro-ph.CO]

Menten KM, Güsten R, Leurini S, Thorwirth S, Henkel C, Klein B, Carilli CL, Reid MJ (2008) Submillimeter water and ammonia absorption by the peculiar $z \sim 0.89$ interstellar medium in the gravitational lens of the PKS 1830-211 system. Astron Astrophys 492:725-730. https://doi.org/10. 1051/0004-6361:200810041. arXiv:0810.2782 [astro-ph]

Mercuri S, Taveras V (2009) Interaction of the Barbero-Immirzi field with matter and pseudo-scalar perturbations. Phys Rev D 80:104007. https://doi.org/10.1103/PhysRevD.80.104007. arXiv:0903. 4407 [gr-qc]

Merkowitz SM (2010) Tests of gravity using lunar laser ranging. Living Rev Relativ 13:7. https://doi.org/ 10.12942/lrr-2010-7

Mesinger A, Furlanetto S, Cen R (2011) 21cmFAST: a fast, semi-numerical simulation of the high-redshift 21-cm signal. Mon Not R Astron Soc 411:955. https://doi.org/10.1111/j.1365-2966.2010. 17731.x. arXiv:1003.3878 [astro-ph.CO]

Milaković D, Lee CC, Carswell RF, Webb JK, Molaro P, Pasquini L (2020) A new era of fine structure constant measurements at high redshift. Mon Not R Astron Soc 500(1):1-21. https://doi.org/10. 1093/mnras/staa3217. arXiv:2008.10619 [astro-ph.CO]

Milaković D, Lee CC, Molaro P, Webb JK (2022) Methods for quasar absorption system measurements of the fine structure constant in the 2020s and beyond. arXiv e-prints arXiv:2212.02458 [astro-ph.CO]

Mitra D, Leung KH, Zelevinsky T (2022) Quantum control of molecules for fundamental physics. Phys Rev A 105(4):040101. https://doi.org/10.1103/PhysRevA.105.040101. arXiv:2204.12373 [phys-sics.atom-ph]

Mohamadnejad A (2019) Cosmological evolution of the proton-to-electron mass ratio in an extended Brans-Dicke theory. Mod Phys Lett A 34(34):1950277. https://doi.org/10.1142/ S0217732319502778. arXiv:1806.01786 [gr-qc]

Mohapi N, Hees A, Larena J (2016) Test of the equivalence principle in the dark sector on galactic scales. JCAP 03:032. https://doi.org/10.1088/1475-7516/2016/03/032. arXiv:1510.06198 [astro-ph.CO]

Mohr PJ, Newell DB, Taylor BN (2016) CODATA recommended values of the fundamental physical constants: 2014. Rev Mod Phys 88(3):035009. https://doi.org/10.1103/RevModPhys.88.035009. arXiv:1507.07956 [physics.atom-ph]

Molaro P (2009) News spectrographs for the VLT and E-ELT suited for the measurements of fundamental constant variability. Mem Soc Astron Ital 80:912

Molaro P, Murphy MT, Levshakov SA (2006) Exploring variations in the fundamental constants with ELTs: the CODEX spectrograph on OWL. In: Whitelock PA, Dennefeld M, Leibundgut B (eds) The scientific requirements for extremely large telescopes. IAU symposia, vol 232. Cambridge University Press, Cambridge, pp 198-203 arxiv:astro-ph/0601264
Molaro P, Levshakov SA, Monai S, Centurion M, Bonifacio P, D'Odorico S, Monaco L (2008a) UVES radial velocity accuracy from asteroid observations. Implications for the fine structure constant variability. Astron Astrophys 481:559 arXiv:0712.3345 [astro-ph]

Molaro P, Reimers D, Agafonova II, Levshakov SA (2008b) Bounds on the fine structure constant variability from Fe II absorption lines in QSO spectra. Eur Phys J Special Topics 163:173–189. https://doi.org/10.1140/epjst/e2008-00818-4. arXiv:0712.4380 [astro-ph]

Molaro P, Levshakov SA, Kozlov MG (2009) Stringent bounds to spatial variations of the electron-to-proton mass ratio in the Milky Way. Nucl Phys B (Proc Suppl) 194:287–293. https://doi.org/10.1016/j.nuclphysbps.2009.07.032. arXiv:0907.1192 [astro-ph.CO]

Molaro P et al (2013) The UVES large program for testing fundamental physics: I Bounds on a change in alpha towards quasar HE 2217–2818. Astron Astrophys 555:A68. https://doi.org/10.1051/0004-6361/201321351. arXiv:1305.1884 [astro-ph.CO]

Moore GD, Nelson AE (2001) Lower bound on the propagation speed of gravity from gravitational Cherenkov radiation. JHEP 09:023. https://doi.org/10.1088/1126-6708/2001/09/023. arXiv:hep-ph/0106220

Morel L, Yao Z, Cladé P, Guellati-Khélifa S (2020) Determination of the fine-structure constant with an accuracy of 81 parts per trillion. Nature 588(7836):61–65. https://doi.org/10.1038/s41586-020-2964-7

Mori K, Kusakabe M (2019) Roles of $ ^7$Be ($n,p$)$^7$Li resonances in Big Bang nucleosynthesis with time-dependent quark mass and Li reduction by a heavy quark mass. Phys Rev D 99(8):083013. https://doi.org/10.1103/PhysRevD.99.083013. arXiv:1901.03943 [astro-ph.CO]

Mosquera ME, Civitarese O (2017) Time variation of fundamental constants in nonstandard cosmological models. Phys Rev C 96(4):045802. https://doi.org/10.1103/PhysRevC.96.045802

Moss A, Scott D, Zibin JP, Battye R (2011) Tilted physics: a cosmologically dipole-modulated sky. Phys Rev D 84:023014. https://doi.org/10.1103/PhysRevD.84.023014. arXiv:1011.2990 [astro-ph.CO]

Mota DF, Barrow JD (2004) Local and global variations of the fine structure constant. Mon Not R Astron Soc 349:291. https://doi.org/10.1111/j.1365-2966.2004.07505.x. arXiv:astro-ph/0309273

Mould J, Uddin S (2014) Constraining a possible variation of G with Type Ia supernovae. Publ Astron Soc Austral 31:15. https://doi.org/10.1017/pasa.2014.9. arXiv:1402.1534 [astro-ph.CO]

Müller CM, Schäfer G, Wetterich C (2004) Nucleosynthesis and the variation of fundamental couplings. Phys Rev D 70:083504. https://doi.org/10.1103/PhysRevD.70.083504. arXiv:astro-ph/0405373

Müller J, Schneider M, Soffel M, Ruder H (1991) Testing Einstein's theory of gravity by analyzing lunar laser ranging data. Astrophys J 382:L101. https://doi.org/10.1086/186222

Muller S, Beelen A, Guelin M, Aalto S, Black JH, Combes F, Curran S, Theule P, Longmore S (2011) Molecules at $z = 0.89$: a 4-mm-rest-frame absorption line survey toward PKS 1830-211. Astron Astrophys 535:A103. https://doi.org/10.1051/0004-6361/201117096. arXiv:1104.3361 [astro-ph.CO]

Muller S, Ubachs W, Menten KM, Henkel C, Kanekar N (2021) A study of submillimeter methanol absorption toward PKS 1830-211: excitation, invariance of the proton-electron mass ratio, and systematics. Astron Astrophys 652:A5. https://doi.org/10.1051/0004-6361/202140531. arXiv:2105.08015

Murphy MT, Berengut JC (2014) Laboratory atomic transition data for precise optical quasar absorption spectroscopy. Mon Not R Astron Soc 438(1):388–411. https://doi.org/10.1093/mnras/stt2204. arXiv:1311.2949 [astro-ph.CO]

Murphy MT, Cooksey KL (2017a) Subaru telescope limits on cosmological variations in the fine-structure constant. Mon Not R Astron Soc 471(4):4930–4945. https://doi.org/10.1093/mnras/stx1949

Murphy MT, Cooksey KL (2017b) Subaru telescope limits on cosmological variations in the fine-structure constant. Mon Not R Astron Soc 471(4):4930–4945. https://doi.org/10.1093/mnras/stx1949. arXiv:1708.00014 [astro-ph.CO]

Murphy MT, Webb JK, Flambaum VV, Churchill CW, Prochaska JX (2001a) Possible evidence for a variable fine-structure constant from QSO absorption lines: systematic errors. Mon Not R Astron Soc 327:1223–1236. https://doi.org/10.1046/j.1365-8711.2001.04841.x. arXiv:astro-ph/0012420

Murphy MT, Webb JK, Flambaum VV, Drinkwater MJ, Combes F, Wiklind T (2001b) Improved constraints on possible variation of physical constants from H I 21cm and molecular QSO absorption lines. Mon Not R Astron Soc 327:1244–1248. https://doi.org/10.1046/j.1365-8711.2001.04843.x. arXiv:astro-ph/0101519
Murphy MT, Webb JK, Flambaum VV, Dzuba VA, Churchill CW, Prochaska JX, Barrow JD, Wolfe AM (2001c) Possible evidence for a variable fine-structure constant from QSO absorption lines: motivations, analysis and results. Mon Not R Astron Soc 327:1208–1222. https://doi.org/10.1046/j.1365-8711.2001.04840.x. arxiv:astro-ph/0012419

Murphy MT, Webb JK, Flambaum VV, Prochaska JX, Wolfe AM (2001d) Further constraints on variation of the fine-structure constant from alkali-doublet QSO absorption lines. Mon Not R Astron Soc 327:1237–1243. https://doi.org/10.1046/j.1365-8711.2001.04842.x. arxiv:astro-ph/0012421

Murphy MT, Webb JK, Flambaum VV (2003) Further evidence for a variable fine-structure constant from Keck/HIRES QSO absorption spectra. Mon Not R Astron Soc 345:609. https://doi.org/10.1046/j.1365-8711.2003.06970.x. arxiv:astro-ph/0306483

Murphy MT, Flambaum VV, Webb JK, Dzuba VV, Prochaska JX, Wolfe AM (2004) Constraining variations in the fine-structure constant, quark masses and the strong interaction. In: Karshenboim SG, Peik E (eds) Astrophysics, clocks and fundamental constants, vol 648. Lecture notes in physics. Springer, Berlin, pp 131–150. https://doi.org/10.1007/978-3-540-40991-5_9arxiv:astro-ph/0310318

Murphy MT, Tzanavaris P, Webb JK, Lovis C (2007a) Selection of ThAr lines for wavelength calibration of echelle spectra and implications for variations in the fine-structure constant. Mon Not R Astron Soc 378:221. https://doi.org/10.1111/j.1365-2966.2007.11768.x. arxiv:astro-ph/0703623

Murphy MT, Webb JK, Flambaum VV (2007b) Comment on ‘Limits on the time variation of the electromagnetic fine-structure constant in the low energy Limit from absorption lines in the spectra of distant quasars’. Phys Rev Lett 99:239001. https://doi.org/10.1103/PhysRevLett.99.239001. arXiv:0708.3677 [astro-ph]

Murphy MT, Flambaum VV, Muller S, Henkel C (2008a) Strong limit on a variable proton-to-electron mass ratio from molecules in the distant universe. Science 320:1611. https://doi.org/10.1126/science.1156352. arXiv:0806.3081 [astro-ph]

Murphy MT, Webb JK, Flambaum VV (2008b) Revision of VLT/UVES constraints on a varying fine-structure constant. Mon Not R Astron Soc 384:1053. https://doi.org/10.1111/j.1365-2966.2007.12695.x. arxiv:astro-ph/0612407

Murphy MT, Webb JK, Flambaum VV (2008) Revisiting VLT/UVES constraints on a varying fine-structure constant. In: Santos NC, Pasquini L, Correia A, Romaniello M (eds) Precision spectroscopy in astrophysics. ESO astrophysics symposia. Springer, Berlin, pp 95–100 arxiv:astro-ph/0611080

Murphy MT, Malec AL, Prochaska JX (2016) Precise limits on cosmological variability of the fine-structure constant with zinc and chromium quasar absorption lines. Mon Not R Astron Soc 461(3):2461–2479. https://doi.org/10.1093/mnras/stw1482. arXiv:1606.06293 [astro-ph.CO]

Murphy MT, Berke DA, Liu F, Flynn C, Lehmann C, Dzuba VA, Flambaum VV (2022a) A limit on variations in the fine-structure constant from spectra of nearby Sun-like stars. Science 378(6620):abi9232. https://doi.org/10.1126/science.abi9232. arXiv:2211.05150 [astro-ph.SR]

Murphy MT et al (2022b) ESPRESSO probes the fine-structure constant. Messenger 188:15–19. https://doi.org/10.18727/0722-6691/5274

Murphy MT et al (2022c) Fundamental physics with ESPRESSO: precise limit on variations in the fine-structure constant towards the bright quasar HE 0515-4414. Astron Astrophys 658:A123. https://doi.org/10.1051/0004-6361/202142257. arXiv:2112.05819 [astro-ph.CO]

Nagata R, Chiba T, Sugiyama N (2004) WMAP constraints on scalar-tensor cosmology and the variation of the gravitational constant. Phys Rev D 69:083512. https://doi.org/10.1103/PhysRevD.69.083512

Nakashima M, Nagata R, Yokoyama J (2008) Constraints on the time variation of the fine structure constant by the 5-year WMAP data. Prog Theor Phys 120:1207. https://doi.org/10.1143/PTP.120.1207. arXiv:0810.1098 [astro-ph]

Nakashima M, Ichikawa K, Nagata R, Yokoyama J (2010) Constraining the time variation of the coupling constants from cosmic microwave background: effect of $\Lambda_{QCD}$. JCAP 2010(01):030. https://doi.org/10.1088/1475-7516/2010/01/030. arXiv:0810.1098 [astro-ph]

Narimani A, Moss A, Scott D (2012) Dimensionless cosmology. Astrophys Space Sci 341:617–629. https://doi.org/10.1007/s10509-012-1113-7. arXiv:1109.0492 [astro-ph.CO]

Naudet R (2000) Oklo, des réacteurs nucléaires fossiles: étude physique. Série Synthèses, CEA/Eyrolles, Paris

Navas S, Amsler C, Gutsche T, Hanhart C et al (2024) Review of particle physics. Phys Rev D 110:030001. https://doi.org/10.1103/PhysRevD.110.030001

Neal RM (2006) Puzzles of anthropic reasoning resolved using full non-indexical conditioning. Technical report. University of Toronto, Toronto. arXiv:math/0608592
Negrelli C, Kraiselburd L, Landau SJ, García-Berro E (2018) Spatial variation of fundamental constants: testing models with thermonuclear supernovae. Int J Mod Phys D 27(09):1850099. https://doi.org/10.1142/S0218271818500992. arXiv:1804.01521 [astro-ph.CO]

Nelson P (1985) Naturalness in theoretical physics: internal constraints on theories, especially the requirement of naturalness, play a pivotal role in physics. Am. Sci. 73(1):60–67

Nguyen AT, Budker D, Lamoreaux SK, Torgerson JR (2004) Towards a sensitive search for variation of the fine-structure constant using radio-frequency E1 transitions in atomic dyprosium. Phys Rev A 69:022105. https://doi.org/10.1103/PhysRevA.69.022105. arxiv:physics/0308104

Nielsen HB, Froggatt CD (2023) Domain walls of low tension in cosmology. In: CORFU2022: 22th hellenic school and workshops on elementary particle physics and gravity. arXiv:2305.18645 [astro-ph.CO]

Nobili A, Comandi GL, Bramanti D, Doravari S, Lucchesi DM, Maccarrone F (2008) Limitations to testing the equivalence principle with satellite laser ranging. Gen Relativ Gravit 40:1533. https://doi.org/10.1007/s10714-007-0560-x

Nollet KM, Lopez RE (2002) Primordial nucleosynthesis with a varying fine structure constant: an improved estimate. Phys Rev D 66:063507. https://doi.org/10.1103/PhysRevD.66.063507. arxiv:astro-ph/0204325

Nordtvedt K (1990) *G'/G* and a cosmological acceleration of gravitationally compact bodies. Phys Rev Lett 65:953–956. https://doi.org/10.1103/PhysRevLett.65.953

Noterdaeme P, Petitjean P, Srianand R, Ledoux C, Le Petit F (2007) Physical conditions in the neutral interstellar medium at *z* = 2.43 toward Q2348-011. Astron Astrophys 469:425–436. https://doi.org/10.1051/0004-6361:20066897. arxiv:astro-ph/0703218

Noterdaeme P, Ledoux C, Petitjean P, Srianand R (2008) Molecular hydrogen in high-redshift damped Lyman-alpha systems: the VLT/UVES database. Astron Astrophys 481:327. https://doi.org/10.1051/0004-6361:20078780. arXiv:0801.3682 [astro-ph]

Noterdaeme P, Petitjean P, Ledoux C, Lopez S, Srianand R, Vergani SD (2010) A translucent interstellar cloud at *z* = 2.69: CO, H₂ and HD in the line-of-sight to SDSS J123714.60+064759.5. Astron Astrophys 523:A80. https://doi.org/10.1051/0004-6361/201015147. arXiv:1008.0637 [astro-ph.CO]

Noterdaeme P, Petitjean P, Srianand R, Ledoux C, Lopez S (2011) The evolution of the cosmic microwave background temperature: measurements of TCMB at high redshift from carbon monoxide excitation. Astron Astrophys 526:L7. https://doi.org/10.1051/0004-6361/201016140. arXiv:1012.3164 [astro-ph.CO]

Novikov ID, Zel'dovich YB (1983) Relativistic astrophysics: the structure and evolution of the universe, vol 2. University of Chicago Press, Chicago

Nunes NJ, Dent T, Avelino C, Robbers G (2009) Reconstructing the evolution of dark energy with variations of fundamental parameters. Mem Soc Astron Ital 80:785 arXiv:0910.4935 [astro-ph.CO]

Nusser A, Gubser SS, Peebles P (2005) Structure formation with a long-range scalar dark matter interaction. Phys Rev D 71:083505. https://doi.org/10.1103/PhysRevD.71.083505. arXiv:astro-ph/0412586

Oberhummer H, Csótó A, Schlattl H (2000) Stellar production rates of carbon and its abundance in the universe. Science 289:88–90. https://doi.org/10.1126/science.289.5476.88. arXiv:astro-ph/0007178

Oberhummer H, Csótó A, Schlattl H (2001) Bringing the mass gaps at *A* = 5 and *A* = 8 in nucleosynthesis. Nucl Phys A 689:269–279. https://doi.org/10.1016/S0375-9474(01)00841-7. arXiv:nucl-th/0009046

O'Bryan J, Smidt J, De Bernardis F, Cooray A (2015) Constraints on spatial variations in the fine-structure constant from Planck. Astrophys J 798(1):18. https://doi.org/10.1088/0004-637X/798/1/18. arXiv:1306.1232 [astro-ph.CO]

Okun LB (1991) The fundamental constants of physics. Sov Phys Usp 34:818–826. https://doi.org/10.1070/PU1991v034n09ABEH002475

Okun LB (1996) Fundamental constants of nature. arXiv e-prints arXiv:hep-ph/9612249

Olive KA (2009a) The effects of coupling variations on BBN. Mem Soc Astron Ital 80:802

Olive KA (2009b) Variable constants—a theoretical overview. Mem Soc Astron Ital 80:754

Olive KA, Pospelov M (2002) Evolution of the fine structure constant driven by dark matter and the cosmological constant. Phys Rev D 65:085044. https://doi.org/10.1103/PhysRevD.65.085044. arXiv:hep-ph/0110377

Olive KA, Pospelov M (2008) Environmental dependence of masses and coupling constants. Phys Rev D 77:043524. https://doi.org/10.1103/PhysRevD.77.043524. arXiv:0709.3825 [hep-ph]
Olive KA, Skillman ED (2004) A realistic determination of the error on the primordial helium abundance: steps toward non-parametric nebular helium abundances. Astrophys J 617:29. https://doi.org/10.1086/425170. arxiv:astro-ph/0405588

Olive KA, Pospelov M, Qian YZ, Coc A, Cassé M, Vangioni-Flam E (2002) Constraints on the variation of the fundamental couplings. Phys Rev D 66:045022. https://doi.org/10.1103/PhysRevD.66.045022. arxiv:hep-ph/0205269

Olive KA, Pospelov M, Qian YZ, Manhès G, Vangioni-Flam E, Coc A, Cassé M (2004) Reexamination of the 187 Re bound on the variation of fundamental couplings. Phys Rev D 69:027701. https://doi.org/10.1103/PhysRevD.69.027701. arxiv:astro-ph/0309252

Olive KA, Peloso M, Uzan JP (2011) The wall of fundamental constants. Phys Rev D 83:043509. https://doi.org/10.1103/PhysRevD.83.043509. arXiv:1011.1504 [astro-ph.CO]

Olive KA, Peloso M, Peterson AJ (2012) Where are the walls? Spatial variation in the fine-structure constant. Phys Rev D 86:043501. https://doi.org/10.1103/PhysRevD.86.043501. arXiv:1204.4391 [astro-ph.CO]

Onegin MS (2012) Investigation of the fundamental constants stability based on the reactor Oklo burn-up analysis. Mod Phys Lett A 27:1250232. https://doi.org/10.1142/S021773231250232X. arXiv:1010.6299 [nucl-th]

Onegin MS (2014) Investigation of the fundamental constants stability based on the reactor Oklo burn-up analysis. arXiv e-prints arXiv:1412.8160 [astro-ph.CO]

O'Shea T, Davis AC, Giannotti M, Vagnozzi S, Visinelli L, Vogel JK (2024) Solar chameleons: novel channels. Phys Rev D 110(6):063027. https://doi.org/10.1103/PhysRevD.110.063027. arXiv:2406.01691 [hep-ph]

Oswald R et al (2022) Search for dark-matter-induced oscillations of fundamental constants using molecular spectroscopy. Phys Rev Lett 129(3):031302. https://doi.org/10.1103/PhysRevLett.129.031302. arXiv:2111.06883 [hep-ph]

Owens A, Yurchenko SN, Thiel W, Špirko V (2015) Accurate prediction of the ammonia probes of a variable proton-to-electron mass ratio. Mon Not R Astron Soc 450(3):3191-3200. https://doi.org/10.1093/mnras/stv869. arXiv:1505.05989 [astro-ph.CO]

Owens A, Yurchenko SN, Thiel W, Spirko V (2016) Enhanced sensitivity to a possible variation of the proton-to-electron mass ratio in ammonia. Phys Rev A 93:052506. https://doi.org/10.1103/PhysRevA.93.052506. arXiv:1808.05425 [physics.chem-ph]

Page DN (2007) Predictions and tests of multiverse theories. In: Carr BJ (ed) Universe or multiverse? Cambridge University Press, Cambridge, pp 411-430 arxiv:hep-th/0610101

Page DN (2009) The height of a giraffe. Found Phys 39(10):1097-1108. https://doi.org/10.1007/s10701-009-9322-9

Palma GA, Brax P, Davis AC, van de Bruck C (2003) Gauge coupling variation in brane models. Phys Rev D 68:123519. https://doi.org/10.1103/PhysRevD.68.123519. arxiv:astro-ph/0306279

Parker RH, Yu C, Zhong W, Estey B, Müller H (2018) Measurement of the fine-structure constant as a test of the standard model. Science 360:191. https://doi.org/10.1126/science.aap7706. arXiv:1812.04130 [physics.atom-ph]

Parkinson D, Bassett BA, Barrow JD (2004) Mapping the dark energy with varying alpha. Phys Lett B 578:235 arXiv:astro-ph/0307227

Pašteka LF, Borschevsky A, Flambaum VV, Schwerdtfeger P (2015) Search for the variation of fundamental constants: strong enhancements in ΧΠ2 cations of dihalogens and hydrogen halides. Phys Rev A 92(1):012103. https://doi.org/10.1103/PhysRevA.92.012103. arXiv:1502.04451 [physics.chem-ph]

Pašteka LF, Hao Y, Borschevsky A, Flambaum VV, Schwerdtfeger P (2019) Material size dependence on fundamental constants. Phys Rev Lett 122(16):160801. https://doi.org/10.1103/PhysRevLett.122.160801. arXiv:1809.02863 [physics.chem-ph]

Peebles PJ, Dicke RH (1962) Cosmology and the radioactive decay ages of terrestrial rocks and meteorites. Phys Rev 128:2006-2011. https://doi.org/10.1103/PhysRev.128.2006

Peebles P (1968) Recombination of the primeval plasma. Astrophys J 153:1-11. https://doi.org/10.1086/149628

Peebles P (2012) Evanescent matter. Ann Phys 524:591-601. https://doi.org/10.1002/andp.201200072. arXiv:1204.0485 [astro-ph.CO]

Peebles P (2022) Anomalies in physical cosmology. Annals Phys 447:169159. https://doi.org/10.1016/j.aop.2022.169159. arXiv:2208.05018 [astro-ph.CO]
Peik E (2010) Fundamental constants and units and the search for temporal variations. Nucl Phys B Proc Suppl 203–204:18–32. https://doi.org/10.1016/j.nuclphysbps.2010.08.003

Peik E, Tamm C (2003) Nuclear laser spectroscopy of the 3.5 eV transition in Th-229. Eur Phys Lett 61:181. https://doi.org/10.1209/apl/i2003-00210-x

Peik E, Lipphardt B, Schnatz H, Schneider T, Tamm C (2004) Limit on the present temporal variation of the fine structure constant. Phys Rev Lett 93:170801. https://doi.org/10.1103/PhysRevLett.93.170801. arxiv:physics/0402132

Peik E, Lipphardt B, Schnatz H, Tamm C, Weyers S, Wynands R (2008) Laboratory limits on temporal variations of fundamental constants: an update. In: Kleinert H, Jantzen RT, Ruffini R (eds) The eleventh Marcel Grossmann meeting on general relativity. World Scientific, Singapore, pp 941–951. arxiv:physics/0611088

Peik E, Schumm T, Safronova MS, Pálffy A, Weitenberg J, Thirolf PG (2021) Nuclear clocks for testing fundamental physics. Quantum Sci Technol 6(3):034002. https://doi.org/10.1088/2058-9565/abe9c2. arXiv:2012.09304 [quant-ph]

Peil S, Crane S, Hanssen JL, Swanson TB, Ekstrom CR (2013) Tests of local position invariance using continuously running atomic clocks. Phys Rev A 87:010102. https://doi.org/10.1103/PhysRevA.87.010102

Pepe F et al (2013) ESPRESSO—an Echelle SPectrograph for rocky exoplanets search and stable spectroscopic observations. ESO Messenger 153:6–16

Pepe F et al (2021) ESPRESSO at VLT—on-sky performance and first results. Astron Astrophys 645:A96. https://doi.org/10.1051/0004-6361/202038306. arXiv:2010.00316 [astro-ph.IM]

Pernot-Borràs M, Bergé J, Brax P, Uzan JP (2019) General study of chameleon fifth force in gravity space experiments. Phys Rev D 100(8):084006. https://doi.org/10.1103/PhysRevD.100.084006. arXiv:1907.10546 [gr-qc]

Pernot-Borràs M, Bergé J, Brax P, Uzan JP (2020) Fifth force induced by a chameleon field on nested cylinders. Phys Rev D 101(12):124056. https://doi.org/10.1103/PhysRevD.101.124056. arXiv:2004.08403 [gr-qc]

Pernot-Borràs M, Bergé J, Brax P, Uzan JP, Métris G, Rodrigues M, Touboul P (2021) Constraints on chameleon gravity from the measurement of the electrostatic stiffness of the MICROSCOPE mission accelerometers. Phys Rev D 103(6):064070. https://doi.org/10.1103/PhysRevD.103.064070. arXiv:2102.00023 [gr-qc]

Peter P, Uzan JP (2009) Primordial cosmology. Oxford University Press, Oxford

Petitjean P, Aracil B (2004) The ratio of the C IV$\lambda\lambda$1548,1550 rest-wavelengths from high-redshift QSO absorption lines. Astron Astrophys 422:523–526. https://doi.org/10.1051/0004-6361/20041030

Petitjean P, Noterdaeme P, Srianand R, Ledoux C, Ivanchik A, Gupta N (2009a) Searching for places where to test the variations of fundamental constants. Mem Soc Astron Ital 80:859–863

Petitjean P, Srianand R, Chand H, Ivanchik A, Noterdaeme P, Gupta N (2009b) Constraining fundamental constants of physics with quasar absorption line systems. Space Sci Rev 148:289–300. https://doi.org/10.1007/s11214-009-9520-y. arXiv:0905.1516 [astro-ph.CO]

Petley BW (1983) New definition of the metre. Nature 303:373. https://doi.org/10.1038/303373a0

Petley BW (1985) The fundamental physical constants and the frontier of measurement. Adam Hilger, Bristol

Petroff E, Hessels J, Lorimer DR (2022) Fast radio bursts at the dawn of the 2020s. Astron Astrophys Rev 30(1):2. https://doi.org/10.1007/s00159-022-00139-w. arXiv:2107.10113 [astro-ph.HE]

Petrov YV (1978) The Oklo natural reactor. Sov Phys Usp 20:937

Petrov YV, Nazarov AI, Onegin MS, Petrov VY, Sakhnovsky EG (2006) Natural nuclear reactor at Oklo and variation of fundamental constants: computation of neutronics of a fresh core. Phys Rev C 74:064610. https://doi.org/10.1103/PhysRevC.74.064610. arXiv:hep-ph/0506186

Piattella OF, Giani L (2017) Redshift drift of gravitational lensing. Phys Rev D 95(10):101301. https://doi.org/10.1103/PhysRevD.95.101301. arXiv:1703.05142 [astro-ph.CO]

Pinho A, Martins C (2016) Updated constraints on spatial variations of the fine-structure constant. Phys Lett B 756:121–125. https://doi.org/10.1016/j.physletb.2016.03.014. arXiv:1603.04498 [astro-ph.CO]

Pinto RF, Brun AS, Jouve L, Grappin R (2011) Coupling the solar dynamo and the corona: wind properties, mass and momentum losses during an activity cycle. Astrophys J 737:72. https://doi.org/10.1088/0004-637X/737/2/72. arXiv:1106.0882 [astro-ph.SR]
Pisanti O, Mangano G, Miele G, Mazzella P (2021) Primordial deuterium after LUNA: concordances and error budget. JCAP 04:020. https://doi.org/10.1088/1475-7516/2021/04/020. arXiv:2011.11537 [astro-ph.CO]

Pitjeva EV, Pitjev NP (2012) Estimations of changes of the Sun's mass and the gravitation constant from the modern observations of planets and spacecraft. Sol Syst Res 46:78. https://doi.org/10.1134/S0038094612010054. arXiv:1108.0246 [astro-ph.SR]

Pitjeva EV, Pitjev NP, Pavlov DA, Turygin CC (2021) Estimates of the change rate of solar mass and gravitational constant based on the dynamics of the solar system. Astron Astrophys 647:A141. https://doi.org/10.1051/0004-6361/202039893. arXiv:2201.09804 [astro-ph.EP]

Pitrou C, Uzan JP (2024) Hubble tension as a window on the gravitation of the dark matter sector. Phys Rev Lett 132(19):191001. https://doi.org/10.1103/PhysRevLett.132.191001. arXiv:2312.12493 [astro-ph.CO]

Pitrou C, Uzan JP, Bernardeau F (2008) Cosmic microwave background bispectrum on small angular scales. Phys Rev D 78:063526. https://doi.org/10.1103/PhysRevD.78.063526. arXiv:0807.0341 [astro-ph]

Pitrou C, Coc A, Uzan JP, Vangioni E (2018) Precision Big Bang nucleosynthesis with improved Helium-4 predictions. Phys Rept 754:1-66. https://doi.org/10.1016/j.physrep.2018.04.005. arXiv:1801.08023 [astro-ph.CO]

Pitrou C, Coc A, Uzan JP, Vangioni E (2021a) A new tension in the cosmological model from primordial deuterium? Mon Not R Astron Soc 502(2):2474-2481. https://doi.org/10.1093/mnras/stab135. arXiv:2011.11320 [astro-ph.CO]

Pitrou C, Coc A, Uzan JP, Vangioni E (2021b) Resolving conclusions about the early Universe requires accurate nuclear measurements. Nature Rev Phys 3(4):231-232. https://doi.org/10.1038/s42254-021-00294-6. arXiv:2104.11148 [astro-ph.CO]

Planck M (1990) Über irreversible Strahlungsvorgänge. Ann Phys (Berlin) 1:69. https://doi.org/10.1002/andp.19003060105

Planck M (1914) Natural Units. P. Blakiston's Son & Co., Philadelphia, pp 173-175

Platts E, Weltman A, Walters A, Tendulkar SP, Gordin J, Kandhai S (2019) A living theory catalogue for fast radio bursts. Phys Rept 821:1-27. https://doi.org/10.1016/j.physrep.2019.06.003. arXiv:1810.05836 [astro-ph.HE]

Polchinski J (1998) String theory. Superstring theory and beyond, vol 2. Cambridge monographs on mathematical physics. Cambridge University Press, Cambridge

Polyansky OL, Kozin IN, Ovsyannikov RI, Malyszek P, Koput J, Tennyson J, Yurchenko SN (2013) Variational calculation of highly excited rovibrational energy levels of H2O2. J Phys Chem A 117:7367. https://doi.org/10.1021/jp401216g. arXiv:1302.0372 [astro-ph.EP]

Prestage JD, Bollinger JJ, Itano WM, Wineland DJ (1985) Limits for spatial anisotropy by use of nuclear-spin-polarized ⁹Be⁺ ions. Phys Rev Lett 54:2387-2390. https://doi.org/10.1103/PhysRevLett.54.2387

Pretage JD, Tjoelker RL, Maleki L (1995) Atomic clocks and variation of the fine structure constant. Phys Rev Lett 74:3511-3514. https://doi.org/10.1103/PhysRevLett.74.3511

Prunet S, Uzan JP, Bernardeau F, Brunier T (2005) Constraints on mode couplings and modulation of the CMB with WMAP data. Phys Rev D 71:083508. https://doi.org/10.1103/PhysRevD.71.083508. arXiv:astro-ph/0406364

Psalis D (2008) Probes and tests of strong-field gravity with observations in the electromagnetic spectrum. Living Rev Relativ 11:9. https://doi.org/10.12942/lrr-2008-9. arXiv:0806.1531 [astro-ph]

Pudliner BS, Pandharipande VR, Carlson J, Pieper SC (1997) Quantum Monte Carlo calculations of nuclei with $A \le 7$. Phys Rev C 56:1720. https://doi.org/10.1103/PhysRevC.56.1720. arXiv:nucl-th/9705009

Quast R, Reimers D, Levshakov SA (2004) Probing the variability of the fine structure constant with the VLT/UVES. Astron Astrophys 415:L7-L11. https://doi.org/10.1051/0004-6361:20040013. arXiv:astro-ph/0311280

Rafelski J, Birrell J, Grayson C, Steinmetz A, Yang CT (2024) Quarks to cosmos: particles and plasma in cosmological evolution. arXiv e-prints arXiv:2409.19031 [hep-ph]

Rahmani H, Srianand R, Gupta N, Petitjean P, Noterdaeme P, Vasquez DA (2012) Constraining the variation of fundamental constants at $z \sim 1.3$ using 21-cm absorbers. Mon Not R Astron Soc 425:556-576. https://doi.org/10.1111/j.1365-2966.2012.21503.x. arXiv:1206.2653 [astro-ph.CO]
Rahmani H, Albornoz Vásquez D, Srianand R, Petitjean P, Noterdaeme P, Ledoux C (2014a) Probing $\mu$ with H$_2$ absorption lines at $z_{abs} \simeq 2.66$ toward Q J0643-5041 with VLT-UVES. Mem Soc Ast It 85(1):84-89

Rahmani H, Maheshwari N, Srianand R (2014b) Constraining the variation in fine-structure constant using SDSS DR8 QSO spectra. Mon Not R Astron Soc 439:70. https://doi.org/10.1093/mnrasl/slt183. arXiv:1312.5324 [astro-ph.CO]

Rahmani H et al (2013) The UVES large program for testing fundamental physics-II. Constraints on a change in $\mu$ towards quasar HE 0027-1836. Mon Not R Astron Soc 435:861-878. https://doi.org/10.1093/mnras/stt1356. arXiv:1307.5864 [astro-ph.CO]

Ratra B, Peebles P (1988) Cosmological consequences of a rolling homogeneous scalar field. Phys Rev D 37:3406-3427. https://doi.org/10.1103/PhysRevD.37.3406

Reasenberg RD (1983) The constancy of $G$ and other gravitational experiments. Philos Trans R Soc London Ser A 310:227

Reasenberg RD, Shapiro II (1978) A radar test of the constancy of the gravitational interaction. In: Halpern L (ed) On the measurement of cosmological variations of the gravitational constant. University Presses of Florida, Gainesville, pp 71-86

Reasenberg RD, Shapiro II, MacNeil PE, Goldstein RB, Breenthal JC, Brenkle JP, Cain DL, Kaufman TM, Komarek TA, Zygielbaum AI (1979) Viking relativity experiment: verification of signal retardation by solar gravity. Astrophys J Lett 234:L219-L221. https://doi.org/10.1086/183144

Rehbehn NH et al (2021) Sensitivity to new physics of isotope shift studies using the coronal lines of highly charged calcium ions. Phys Rev A 103(4):L040801. https://doi.org/10.1103/PhysRevA.103.L040801. arXiv:2102.02309 [physics.atom-ph]

Reichardt CL et al (2009) High resolution CMB power spectrum from the complete ACBAR data set. Astrophys J 694:1200-1219. https://doi.org/10.1088/0004-637X/694/2/1200. arXiv:0801.1491 [astro-ph]

Reinaudi G, Osborn CB, McDonald M, Kotochigova S, Zelevinsky T (2012) Optical production of stable ultracold molecules. Phys Rev Lett 109:11. https://doi.org/10.1103/physrevlett.109.115303

Reinhold E, Buning R, Hollenstein U, Ivanchik A, Petitjean P, Ubachs W (2006) Indication of a cosmological variation of the proton-electron mass ratio based on laboratory measurement and reanalysis of H$_2$ spectra. Phys Rev Lett 96:151101. https://doi.org/10.1103/PhysRevLett.96.151101

Reisenegger E, Jofré P, Fernandez R (2009) Constraining a possible time-variation of the gravitational constant through ‘gravitochemical heating’ of neutron stars. Mem Soc Astron Ital 80:829 arXiv:0911.0190 [astro-ph.HE]

Reynaud S, Salomon C, Wolf P (2009) Testing general relativity with atomic clocks. Space Sci Rev 148:233-247. https://doi.org/10.1007/s11214-009-9539-0. arXiv:0903.1166 [quant-ph]

Riazuelo A, Uzan JP (2000) Quintessence and gravitational waves. Phys Rev D 62:083506. https://doi.org/10.1103/PhysRevD.62.083506

Riazuelo A, Uzan JP (2002) Cosmological observations in scalar-tensor quintessence. Phys Rev D 66:023525. https://doi.org/10.1103/PhysRevD.66.023525. arxiv:astro-ph/0107386

Ricci B, Villante FL (2002) The sun and the Newton constant. Phys Lett B 549:20 arXiv:astro-ph/0204482

Rich J (2003) Experimental consequences of time variations of the fundamental constants. Am J Phys 71:1043. https://doi.org/10.1119/1.1566783. arXiv:physics/0209016

Rich J (2013) Dimensionless constants and cosmological measurements. arXiv e-prints arXiv:1304.0577 [astro-ph.CO]

Rich J (2015) Which fundamental constants for cosmic microwave background and baryon-acoustic oscillation? Astron Astrophys 584:A69. https://doi.org/10.1051/0004-6361/201526847. arXiv:1503.06012 [astro-ph.CO]

Rider AD, Moore DC, Blakemore CP, Louis M, Lu M, Gratta G (2016) Search for screened interactions associated with dark energy below the 100 $\mu$m length scale. Phys Rev Lett 117:101101. https://doi.org/10.1103/PhysRevLett.117.101101

Riess AG, Yuan W, Macri LM, Scolnic D, Brout D, Casertano S, Jones DO, Murakami Y, Anand GS, Breuval L, Brink TG, Filippenko AV, Hoffmann S, Jha SW, D'arcy Kenworthy W, Mackenty J, Stahl BE, Zheng W (2022) A comprehensive measurement of the local value of the Hubble constant with 1 km/s/mpc uncertainty from the Hubble Space Telescope and the SH0ES team. Astrophys J Lett 934(1):L7. https://doi.org/10.3847/2041-8213/ac5c5b

Roberts BM, Blewitt G, Dailey C, Murphy M, Pospelov M, Rollings A, Sherman J, Williams W, Derevianko A (2017) Search for domain wall dark matter with atomic clocks on board global