cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.5281/zenodo.17812520
title: TU-GUT-SYSY v9 – Final Proof: Complete Unification from the Quantum Electromagnetic Vacuum via Entanglement-Entropy Minimisation – Full Derivations and Numerical Verification

description: TU-GUT-SYSY v9 (10 December 2025) represents the ninth and final iteration of an independent research programme initiated in early 2025 with the objective of deriving all observed physics from a single field and a single principle.The only fundamental field is the electromagnetic four-potential A_μ in Minkowski spacetime.The only dynamical principle is the covariant second law of vacuum entanglement entropy: the change in entanglement entropy across any closed surface cannot increase (δS_ent ≤ 0).Through nine successive public versions on Zenodo, every initially heuristic element has been replaced by rigorous derivations and fully reproducible numerical calculations:



The golden ratio φ = (1 + √5)/2 emerges as the unique number that maximises uniform entanglement distribution over a spherical surface (explicit numerical minimisation).

First-generation fermions arise as topologically protected trefoil knots in the field lines of A_μ; numerical computation of the Gauss linking number yields exactly 3, reproducing spin 1/2 and the three-generation pattern (Bilson-Thompson correspondence).

The nuclear magic numbers 2, 8, 20, 28, 50, 82, 126 are exactly reproduced by sequential filling of entanglement-weighted 3D harmonic-oscillator shells including spin-orbit coupling.

The reaction p + p → ²H + e⁺ + ν_e + γ (Q = 1.442 MeV) produces a negative Ryu–Takayanagi area change of ≈ –5.1 fm². The resulting feedback on solar core temperature predicts a +0.41 % enhancement of the ⁷Be and ⁸B neutrino fluxes, in agreement with the Borexino 2021 measurement (deviation < 1.3σ).

The observed astrophysical black-hole mass gap (no stable compact objects between ≈ 2.2 M⊙ and ≈ 5 M⊙) is derived as a strict theorem from entanglement-entropy minimisation.

Traversable wormholes and stable Einstein–Rosen bridges are rigorously forbidden.

No extra dimensions, no supersymmetry, no scalar fields, and no free parameters beyond the Planck scale and the measured particle spectrum are introduced.All quantitative results are obtained from short, executable Python scripts (NumPy, SciPy, NetworkX) that are embedded and run directly in the manuscript.Current version: v9 – Final Proof (all results numerically verified)Immediate predecessor: v8 – https://doi.org/10.5281/zenodo.17808880Keywordsquantum gravity, entanglement entropy, electromagnetic knots, unified theory, nuclear magic numbers, solar neutrinos, black-hole mass gap, golden ratio, emergent fermions, theory of everything.
DOI: 10.5281/zenodo.17812521
title: TU-GUT-SYSY v9 – Final Proof: Complete Unification from the Quantum Electromagnetic Vacuum via Entanglement-Entropy Minimisation – Full Derivations and Numerical Verification

description: TU-GUT-SYSY v9 (10 December 2025) represents the ninth and final iteration of an independent research programme initiated in early 2025 with the objective of deriving all observed physics from a single field and a single principle.The only fundamental field is the electromagnetic four-potential A_μ in Minkowski spacetime.The only dynamical principle is the covariant second law of vacuum entanglement entropy: the change in entanglement entropy across any closed surface cannot increase (δS_ent ≤ 0).Through nine successive public versions on Zenodo, every initially heuristic element has been replaced by rigorous derivations and fully reproducible numerical calculations:



The golden ratio φ = (1 + √5)/2 emerges as the unique number that maximises uniform entanglement distribution over a spherical surface (explicit numerical minimisation).

First-generation fermions arise as topologically protected trefoil knots in the field lines of A_μ; numerical computation of the Gauss linking number yields exactly 3, reproducing spin 1/2 and the three-generation pattern (Bilson-Thompson correspondence).

The nuclear magic numbers 2, 8, 20, 28, 50, 82, 126 are exactly reproduced by sequential filling of entanglement-weighted 3D harmonic-oscillator shells including spin-orbit coupling.

The reaction p + p → ²H + e⁺ + ν_e + γ (Q = 1.442 MeV) produces a negative Ryu–Takayanagi area change of ≈ –5.1 fm². The resulting feedback on solar core temperature predicts a +0.41 % enhancement of the ⁷Be and ⁸B neutrino fluxes, in agreement with the Borexino 2021 measurement (deviation < 1.3σ).

The observed astrophysical black-hole mass gap (no stable compact objects between ≈ 2.2 M⊙ and ≈ 5 M⊙) is derived as a strict theorem from entanglement-entropy minimisation.

Traversable wormholes and stable Einstein–Rosen bridges are rigorously forbidden.

No extra dimensions, no supersymmetry, no scalar fields, and no free parameters beyond the Planck scale and the measured particle spectrum are introduced.All quantitative results are obtained from short, executable Python scripts (NumPy, SciPy, NetworkX) that are embedded and run directly in the manuscript.Current version: v9 – Final Proof (all results numerically verified)Immediate predecessor: v8 – https://doi.org/10.5281/zenodo.17808880Keywordsquantum gravity, entanglement entropy, electromagnetic knots, unified theory, nuclear magic numbers, solar neutrinos, black-hole mass gap, golden ratio, emergent fermions, theory of everything.
DOI: 10.13130/rd_unimi/9ebnqt/sc78uy
title: Aprile_1925_Pagina_112.jpg

description: Bulletin of 1925/04/28
DOI: 10.13130/rd_unimi/hd4hiz/v7rnx0
title: Aprile_1934_Pagina_068.jpg

description: Bulletin of 1934/04/17
DOI: 10.13130/rd_unimi/vgyhdh/7rxovi
title: Agosto_1939_Pagina_035.jpg

description: Bulletin of 1939/08/05
DOI: 10.13130/rd_unimi/9ebnqt/plwyp8
title: Aprile_1925_Pagina_113.jpg

description: Bulletin of 1925/04/29
DOI: 10.13130/rd_unimi/hd4hiz/y8qy8e
title: Aprile_1934_Pagina_069.jpg

description: Bulletin of 1934/04/18
DOI: 10.15468/dl.7dcgcc
title: Occurrence Download

description: A dataset containing 606 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "or" : [
 "BasisOfRecord is Human Observation",
 "BasisOfRecord is Living Specimen",
 "BasisOfRecord is Material sample"
 ]
 },
 "CoordinateUncertaintyInMeters 0.0-9959.0",
 "TaxonKey is Aeolothripidae",
 "Year is greater than or equal to 1970"
 ]
}

 The dataset includes 606 records from 15 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0067678-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.jucxtp
title: Occurrence Download

description: A dataset containing 3322 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
 },
 "TaxonKey is Regulus madeirensis Harcourt, 1851"
 ]
}

 The dataset includes 3322 records from 15 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033751-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.8unasn
title: Occurrence Download

description: A dataset containing 222 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "or" : [
 "Continent is Asia",
 "Continent is Europe",
 "Continent is North America"
 ]
 },
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "OccurrenceStatus is Present",
 "TaxonKey is Pelecanus rufescens Gmelin, 1789"
 ]
}

 The dataset includes 222 records from 8 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0343916-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.n8m9aw
title: Occurrence Download

description: A dataset containing 397 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
 },
 "TaxonKey is Phaenicophilus poliocephalus (Bonaparte, 1851)"
 ]
}

 The dataset includes 397 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033774-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.tht8f4
title: Occurrence Download

description: A dataset containing 10285387 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is United States of America",
 "DatasetKey is iNaturalist Research-grade Observations",
 "HasCoordinate is true",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 10285387 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0062870-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.trq4em
title: Occurrence Download

description: A dataset containing 459 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Urotriorchis macrourus (Hartlaub, 1855)",
 "HasCoordinate is True",
 "Year is greater than or equal to 1900",
 "Year is less than or equal to 2021",
 "Month is greater than or equal to January",
 "Month is less than or equal to December",
 "HasGeospatialIssue is False"
 ]
}

 The dataset includes 459 records from 13 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0002093-210819072339941/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.thbtrc
title: Occurrence Download

description: A dataset containing 2235 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
 },
 "TaxonKey is Strix fulvescens (P.L.Sclater & Salvin, 1868)"
 ]
}

 The dataset includes 2235 records from 18 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033759-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.mbyxxd
title: Occurrence Download

description: A dataset containing 964 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Rhogeessa parvula H.Allen, 1866"
 ]
}

 The dataset includes 964 records from 59 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0100538-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.my58b3
title: Occurrence Download

description: A dataset containing 2976 species occurrences available in GBIF matching the query:
{
 "and" : [
 "BasisOfRecord is Specimen",
 "OccurrenceStatus is Present",
 "TaxonKey is Calophyllum brasiliense Cambess.",
 "Year 1950-2020"
 ]
}

 The dataset includes 2976 records from 167 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0070219-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.heuywz
title: Occurrence Download

description: A dataset containing 213 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Loxosceles reclusa Gertsch & Mulaik, 1940"
 ]
}

 The dataset includes 213 records from 10 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008892-180131172636756/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.rpzubv
title: Occurrence Download

description: A dataset containing 218 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
 },
 "TaxonKey is Ninox natalis Lister, 1889"
 ]
}

 The dataset includes 218 records from 9 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033869-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.w0umyn
title: Occurrence Download

description: A dataset containing 835 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Odobenus rosmarus divergens (Illiger, 1815)"
 ]
}

 The dataset includes 835 records from 19 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008892-190415153152247/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.wgy9uv
title: Occurrence Download

description: A dataset containing 307085 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Geometry POLYGON((20.37305 63.50153,7.29492 65.90345,-8.45508 59.69436,-13.23633 51.98759,-0.07031 43.58039,22.62305 48.38836,23.04492 53.26784,20.37305 63.50153))",
 "HasGeospatialIssue is false",
 "OccurrenceStatus is Present",
 "TaxonKey is Anser albifrons (Scopoli, 1769)",
 "Year 2010-2020"
 ]
}

 The dataset includes 307085 records from 86 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0130308-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.d9sx6v
title: Occurrence Download

description: A dataset containing 5747 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
 },
 "TaxonKey is Eugralla paradoxa (Kittlitz, 1830)"
 ]
}

 The dataset includes 5747 records from 19 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033753-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.dk39dt
title: Occurrence Download

description: A dataset containing 26 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Flaveria pubescens Rydb.",
 "HasCoordinate is true"
 ]
}

 The dataset includes 26 records from 10 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0141484-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.sxpb9k
title: Occurrence Download

description: A dataset containing 105 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 {
 "not" : {
 "BasisOfRecord" : [
 "is one of (Fossil, Living Specimen)"
 ]
 }
 }
 ]
 },
 "TaxonKey is Caprimulgus stellatus Blundell & Lovat, 1899"
 ]
}

 The dataset includes 105 records from 11 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033793-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.ujyoxe
title: Occurrence Download

description: A dataset containing 12837 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasCoordinate is true",
 "TaxonKey is Laetiporus Murrill, 1904",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 12837 records from 190 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008892-181108115102211/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.9rf3cz
title: Occurrence Download

description: A dataset containing 6 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Solanum subhastatum L.B.Sm. & Downs"
 ]
}

 The dataset includes 6 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0009861-210819072339941/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.xzrco9
title: Occurrence Download

description: A dataset containing 441 species occurrences available in GBIF matching the query:
{
 "and" : [
 "StateProvince is Minas Gerais",
 "TaxonKey is Athyriaceae"
 ]
}

 The dataset includes 441 records from 20 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008892-190320150433242/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.n3x6dn
title: Occurrence Download

description: A dataset containing 1852 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Myotis sodalis Miller & G.M.Allen, 1928",
 "HasCoordinate is true"
 ]
}

 The dataset includes 1852 records from 38 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0261762-210914110416597/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.zm8hvj
title: Occurrence Download

description: A dataset containing 39 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Elegia esterhuyseniae Pillans"
 ]
}

 The dataset includes 39 records from 10 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033795-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.h6fqjk
title: Occurrence Download

description: A dataset containing 8 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Verbascum subnivale Boiss. & Hausskn."
 ]
}

 The dataset includes 8 records from 4 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0131476-240321170329656/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.a2a9jt
title: Occurrence Download

description: A dataset containing 308 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is China",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "TaxonKey is Odorrana margaretae (Liu, 1950)"
 ]
}

 The dataset includes 308 records from 7 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033764-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.t9ykm4
title: Occurrence Download

description: A dataset containing 48 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Mexico",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "OccurrenceStatus is Present",
 "TaxonKey is Ursus americanus Pallas, 1780",
 "Year 2020-2020"
 ]
}

 The dataset includes 48 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0074330-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.4cgfxh
title: Occurrence Download

description: A dataset containing 7376 species occurrences available in GBIF matching the query:
{
 "DatasetKey" : [
 "is Base de datos y catálogo para la utilización, conservación y disponibilidad de Phaseolus en México"
 ]
}

 The dataset includes 7376 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0091304-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.xjxa97
title: Occurrence Download

description: A dataset containing 52 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Atelopus laetissimus Ruiz-Carranza, Ardila-Robayo & Hernández-Camacho, 1994"
 ]
}

 The dataset includes 52 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0055099-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.648xsh
title: Occurrence Download

description: A dataset containing 143 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Continent is Asia",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "TaxonKey is Debregeasia longifolia (Burm.fil.) Wedd."
 ]
}

 The dataset includes 143 records from 13 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0343918-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.6k6tbp
title: Occurrence Download

description: A dataset containing 98 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Dorstenia involuta Hijman & C.C.Berg"
 ]
}

 The dataset includes 98 records from 9 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033776-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.ujgapp
title: Occurrence Download

description: A dataset containing 5437 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Geometry POLYGON((-42.26093 3.18203,89.26093 3.18203,89.26093 55.81797,-42.26093 55.81797,-42.26093 3.18203))",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "OccurrenceStatus is Present",
 "TaxonKey is Arthrocnemum macrostachyum (Moric.) K.Koch"
 ]
}

 The dataset includes 5437 records from 44 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0062872-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.x7z6xa
title: Occurrence Download

description: A dataset containing 11 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Dorstenia nyungwensis Troupin"
 ]
}

 The dataset includes 11 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0033845-240314170635999/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.39jc9e
title: Occurrence Download

description: A dataset containing 1445 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Cichla ocellaris Bloch & Schneider, 1801"
 ]
}

 The dataset includes 1445 records from 56 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0100540-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.