reapxdev/zenodo-scraper huggingface dataset:
Exact Finite Li-Jet Indistinguishability for Riemann–Xi Type Functions
Authors: Liu, Zongmin
Type: Preprint
Published: 2025-12-23

<div>
<div>For every positive integer $N$, we construct an explicit symmetric polynomial</div>
<div>factor $Q_N$ such that $\Xi_N=\xi Q_N$ has exactly the same first $N$ Li</div>
<div>coefficients as the Riemann $\xi$-function, agrees with $\xi$ through order</div>
<div>$N$ at both symmetry points $0$ and $1$, satisfies the same functional equation</div>
<div>and real symmetry, has order one and the same zero-counting leading term, but</div>
<div>has zeros in the critical strip away from the critical line. The factor has</div>
<div>smallest possible degree among nonconstant symmetric polynomial perturbations</div>
<div>with the stated jet-preservation property. A multi-point version shows that</div>
<div>arbitrary finite symmetric collections of ordinary and logarithmic jets can be</div>
<div>preserved while inserting an explicit off-line zero pair. The result is a</div>
<div>finite-data obstruction theorem: it does not preserve the Euler product or the</div>
<div>prime-number explicit formula and therefore does not address the arithmetic</div>
<div>core of the Riemann hypothesis.</div>
</div>
INTEGRAL HODGE LATTICES OF POWERS OF ELLIPTIC CURVES: UNIMODULAR MATCHING BASES
Authors: Liu, Zongmin
Type: Preprint
Published: 2025-12-21

<div>
<div>Let $E$ be a complex elliptic curve. We prove that, for every $n$ and every</div>
<div>codimension, the integral Hodge classes on $E^n$ are generated over $\Z$ by</div>
<div>products of integral divisor classes. Equivalently, the integral Hodge ring</div>
<div>of every self-power of an elliptic curve is generated in degree two. The</div>
<div>point is integral: rational generation by divisors does not by itself rule out</div>
<div>a finite saturation defect.</div>
<br>
<div>The proof produces unimodular bases in every K\"unneth summand. If $E$ has no</div>
<div>complex multiplication, the core basis is indexed by noncrossing perfect</div>
<div>matchings and has Catalan cardinality. In the complex multiplication case, a</div>
<div>basis for a principal CM lattice is indexed by standard tableaux with at most</div>
<div>two rows; a leading-word argument gives a unitriangular minor of central</div>
<div>binomial size. Arbitrary CM ideal classes are then handled prime by prime,</div>
<div>using that the CM cohomology lattice is a locally free rank-one module over its</div>
<div>quadratic order. We also recover the Narayana and binomial-square formulas</div>
<div>for the ranks of the Hodge lattices.</div>
</div>
Causal Precursors and the Preparation Cost of Exact Diffusion
Authors: Liu, Zongmin
Type: Preprint
Published: 2026-03-03

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<div>A parabolic density can form an exact sector of a finite-speed microscopic theory only when the microscopic initial state already contains nonlocal precursors. We quantify this necessity. For positive Markov microscopic dynamics with spatial speed at most $c$, local density readout, and an exact projection onto the heat equation with diffusivity $D$, a compactly supported nonnegative density profile forces the initial microscopic total-variation tail $Q_F(r)$ to satisfy</div>
<div>\begin{equation*}</div>
<div>\liminf_{r\to\infty}\frac{1}{r}\log Q_F(r)\geq-\frac{c}{D}.</div>
<div>\end{equation*}</div>
<div>Equivalently, exponential moments above $c/D$ cannot be finite. The one-dimensional massless relativistic Vlasov--Fokker--Planck embedding saturates this exponent exactly, $Q_F(r)=C\exp(-r/D)$. We also evaluate the inverse J\"uttner density multiplier in arbitrary spatial dimension. Massive carriers exhibit an essential small-time reconstruction cost $\exp(m^2\beta^2D/4t)$, whereas the massless density-kernel limit has only algebraic growth. Exact relativistic diffusion therefore uses two independent nonlocal resources: a universal spatial precursor length $D/c$ and a model-dependent spectral conditioning length $m\beta D$.</div>
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The Universe from One Finite Quantum Cell: How Mittermeier Attractor Theory (MAT) connects vacuum structure, the electron, gravity, cosmology and horizons through a single finite architecture
Authors: Mittermeier, Rainer Andreas
Type: Preprint
Published: 2026-08-03
Keywords: Mittermeier Attractor Theory, MAT, finite quantum cell, quantum gravity, quantum information architecture, finite geometry, plastic constant, Weeks manifold, vacuum energy, cosmological constant problem, fine-structure constant, electron-Planck hierarchy, Newton's constant, dark matter, dark energy, FRW cosmology, primordial cosmology, black-hole thermodynamics, de Sitter entropy, holographic entropy, Riemann-Weil criterion

<p>Modern physics describes matter and spacetime with exceptional precision, yet electromagnetic strength, gravitational strength, cosmic composition and vacuum curvature still enter through separate empirical routes. Mittermeier Attractor Theory (MAT) reverses that explanatory order. It begins with a rigid arithmetic-topological seed, a five-state Weyl-Heisenberg register and a 40-channel response carrier, from which one small dimensionless state is constructed. In the frozen effective architecture, the same state selects the vacuum hierarchy, fixes an electromagnetic branch and electron-Planck hierarchy, yields an anchor-free gravity invariant, generates linked cosmological matter lanes and primordial targets, supplies a conserved pressureless dark source, and measures black-hole and de Sitter horizons in one entropy unit. The outputs are correlated descendants rather than independent coincidences, so disagreement in one sector propagates through the dependency network. The work establishes the finite mathematics, numerical closure and cross-sector readout structure. It concentrates the remaining fundamental task into a canonical noncommutative operator system, a Lorentz-covariant and radiatively stable continuum action, and a prospectively frozen blind prediction.</p>
The price of Hamiltonizing dissipation: symplectic compensation destabilizes non-reciprocal embeddings
Authors: Liu, Zongmin
Type: Preprint
Published: 2026-03-03

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<p>Non-reciprocal dynamics can be generated by a reciprocal Hamiltonian after doubling the degrees of freedom and re- stricting the enlarged phase space to an invariant mirror-constraint manifold. This construction restores Hamiltonian tools, but it leaves open whether the physical manifold is robust to preparation errors, numerical round-off, environmental noise or quantum fluctuations. We prove a coordinate-independent symplectic-compensation theorem: for an autonomous Hamil- tonian flow with an invariant half-dimensional Lagrangian physical manifold, the linearized cocycle on the quotient normal bundle is the inverse dual of the tangent cocycle. Consequently, finite-time singular values are reciprocal, tangent and nor- mal Lyapunov exponents occur with opposite signs, and any tangent volume contraction is compensated by equal normal volume expansion. Thus a minimal Hamiltonian embedding of dissipative dynamics cannot make its physical constraint manifold normally attracting. For a directed non-reciprocal XY ring, the constraint-leakage spectrum is obtained exactly. Its growth envelope is controlled by the sum of directional couplings, whereas their difference produces only a chiral phase drift. Nonlinear integrations recover the predicted exponents to better than 10−6 while conserving the embedding Hamilto- nian to 10−14. Active constraint cooling exhibits a sharp threshold, noise produces a 1/(κ − λ) variance divergence, and a specified quadratic actuation metric has an optimum at twice the uncompensated leakage rate. The results convert an exact embedding theorem into experimentally falsifiable limits on classical and prospective quantum realizations of non-reciprocal Hamiltonian embeddings.</p>
</div>
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A lipid transfer-dependent feedback loop activates ATG9A compartments in autophagy initiation
Authors: Martens, Sascha, Sawa-Makarska, Justyna, Holzer, Elisabeth, Romanov, Julia, Bernklau, Daniel, Schuschnig, Martina
Type: Preprint
Published: 2025-08-18

<p class="MsoNormal"><span>Autophagy degrades cellular material by sequestering it within autophagosomes, which form <em>de novo</em> from precursors called phagophores. Phagophore assembly and expansion require ATG9A-positive seed compartments, the lipid transfer protein ATG2A, and the class III phosphatidylinositol 3-phosphate kinase complex I (PI3KC3-C1). PI3KC3-C1 synthesizes phosphatidylinositol 3-phosphate (PI3P), a key lipid that drives downstream processes for phagophore expansion, including ATG8 lipidation. We find that ATG9A compartments contain only traces of phosphatidylinositol (PI), likely insufficient for efficient PI3P production or recruitment of PI3P-binding effectors. Nevertheless, ATG2A is recruited to these compartments and mediates lipid transfer, including PI, into them. Remarkably, even without detectable PI3P, ATG9A compartments are direct substrates for ATG8 lipidation, and ATG8 proteins themselves enhance ATG2A-mediated lipid transfer. In cells, ATG2A is essential for the appearance of PI3P on ATG9A compartments. Our findings support a model in which a lipid transfer-driven feedback loop activates ATG9A compartments for phagophore expansion.</span></p>
第四次收入分配:循环共生分配(The Fourth Income Distribution: Circular Symbiotic Distribution)
Authors: Zhao, Huilin
Type: Preprint
Published: 2024-08-22
Keywords: 经济学

<p class="MsoNormal"><strong><span>摘</span></strong><strong> </strong><strong><span>要</span></strong><span>:</span><span>收入分配制度是现代经济体系的基础性制度,其演进与经济变革、社会转型同步,最终指向人的生存与发展提升。传统三次分配沿</span><span>“市场—政府—社会”线性逻辑展开,在工业时代作用重要,但应对当代贫富分化、发展失衡与代际可持续挑战时,显现出理论与实践局限。当前我国进入推动共同富裕的攻坚期,完善收入分配制度被置于国家战略突出位置,亟需分配理论的范式创新支撑。</span><strong><span>本文创新性提出循环共生分配理论并将其确立为第四次收入分配范式,该理论以有机整体论为哲学基底,以人的发展为根本价值锚点,融合一般系统论、生态共生理论与中国传统生克制化智慧,将经济</span><span>—社会—生态复合系统视为具有自组织、自调节</span><span>等</span></strong><span><strong>特性的生命有机体,以价值闭环循环、主体互利共生、系统动态制衡为核心逻辑,致力于构建多元主体协同、三重价值统一、代际均衡发展的持续性分配机制。</strong>本文系统阐释了循环共生分配的理论根基、核心内涵与运行机制,通过范式比较厘清了其与传统三次分配的层级耦合关系与理论边际贡献,提出三类可落地的微观商业模式,并结合国家中长期战略部署,构建了本土化的实践进路与政策框架。循环共生分配理论突破了传统分配理论的线性思维与局部优化范式,回归经济发展以人为本的价值本源,为破解当代收入分配难题、构建中国特色社会主义分配理论体系提供了新的理论视角,也为推动高质量发展与共同富裕提供了新的实践路径。</span></p>
<p class="MsoNormal"><strong><span>关键词</span></strong><span>:第四次收入分配;循环共生分配;共同富裕;系统范式;价值循环;共生商业模式</span></p>
Why the Third Axis Is Weakness
Authors: Bennett, Michael Timothy
Type: Preprint
Published: 2026-08-03

<p>In generative training, models produce an output and penalise its difference from an observed example. With one output per comparison, models capable of producing only one valid image incur the same average penalty as models that have learned the whole distribution. Training objectives cannot discriminate between. Explorative Modeling (XM) produces $K$ outputs per comparison, penalising the closest. They claim exploration is a third pretraining axis. But is it? What does it scale? Here I show it scales weakness. Weakness counts how much a model could still narrow what it outputs. Freedom of function, not form. Earlier work proved weakest correct models are likeliest to generalise, beating measures of form like flatness and MDL. I prove the average XM penalty depends on the model only through the chance a single output misses by more than an amount, and exploration raises that chance to the power $K$. For $K>1$, among models producing only correct answers, match probability rises strictly with weakness. For unseen prompts, requirements chosen uniformly at random, the chance of meeting every demand is proportional to weakness. So I ran two experiments. Over 456 runs, raising $K$ increased measured weakness in every primary paired comparison. Hence XM is a means of increasing weakness. I then modified XM, using weakness as a selector vs baseline comparison. Applied to the same candidate pools, weakness raised best-of-eight hit from $0.4131$ to $0.4203$, winning in 19 of 20 worlds over baseline XM, tying the last. Exploration is a means, weakness an end, and optimising for it more directly improved performance.</p>
Rank-two regulator response and exact scheme bounds in asymptotically safe gravity
Authors: Liu, Zongmin
Type: Preprint
Published: 2026-07-31

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<div>Truncated functional renormalization group calculations retain a dependence on the infrared regulator, normally estimated by scanning a one-parameter family of shape functions. We show that this dependence is far more constrained than such scans presume. Writing the Einstein--Hilbert threshold functions as moments $\Mcal_{n,p}$ of a monotone quantile profile $\phi$, relabelling the renormalization group scale acts as an exact redundancy $\phi\to c\,\phi$ under which $\Mcal_{n,p}$ carries weight $n+1-p$. A functional that is not invariant measures a convention: $\Theym$ and the critical exponents are invariants, while $g_*$, $\lambda_*$ and individual threshold moments are not. Because the flow involves only two adjacent moment indices, the linear response of every observable to every regulator deformation lies in a two-dimensional space; the rank is exactly two, verified in $d=4,6,8$. Applied to the published $R^2$ truncation the same</div>
<div>index counting gives rank three, so regulator freedom grows by exactly one direction per curvature order. Each observable is a ray in a canonical plane spanned by shifted Legendre polynomials, with closed-form kernels. Hence two shape</div>
<div>parameters suffice and a third adds nothing, no one-parameter family can render two observables stationary at once, and the standard Litim-type family is blind to one axis. Exact susceptibility bounds follow per unit invariant departure from the Litim regulator: $0.428$ for $\Ree\theta$ against $2.291$ for $\Theym$. Requiring higher-index moment control makes the latter bound strongly asymmetric, closing the direction that lowers $\Theym$ while leaving the one that raises it untouched.</div>
</div>
Information Theory and the Quantum Harmonic Oscillator Ground State
Authors: Ruggeri, Francesco R.
Type: Preprint
Published: 2026-08-03

<p> Information theory is not physics, however, Shannon’s information, Information(probability) =ln(probability) does apply to the Maxwell-Boltzmann (MB) distribution, but not to the Tsallis or Kaniadakis cases. The information theory notion that Inofrmation(probability) → infinite as probability->0, however, does hold in the MB, Tsallis and Kaniadakis cases.</p>
<p>   In (1), we argued that information theory can be applied directly to potential energy in a Newtonian-like pressure balance scenario. Potential energy V(x), (like kinetic energy in the temperature based MB) case is the entire information theory information. In this note, we ask whether V(x) is the entire information (information theory) in any quantum mechanical situation. We argue that it is for the ground state of a quantum oscillator. We argue that the reason that wavelength = exp(-V(r) * constant) for the ground state of a quantum oscillator matches the MB statistical factor exp(-V(r)/T) is information theory information.</p>
<p> </p>
PAPER-FBT05A: Effective Berry Geometry on the Relative-Phase Fibre
Authors: ZHAI XINGYUN
Type: Preprint
Published: 2026-08-03
Keywords: Berry curvature, Chern quantization, relative dual-phase torus, Berry line bundle, quantum-geometric readout tensor, readout metric, fidelity distinguishability, T3/ΔU(1), Chern–Weil theory, fibrewise quantization, Hermitian line bundle, unitary connection, first Chern class, relative phase, torus quotient, prequantization, fibrewise Berry geometry, quantum geometric tensor, Bures metric, Fubini–Study metric, Fracture–Berry–Tension framework, coherent-state readout, dualphase sector; 4+2 geometry, Chern-constrained phase sector, fracture-induced readout geometry

<p>This paper clarifies the Berry–Chern quantization mechanism associated with the relative dual-phase torus in the Fracture–Berry–Tension framework.</p>
<p>The upstream geometric input comes from FBT0A and FBT0B. FBT0A constructs the canonical coherent-state readout</p>
<p>B6 = (CP1)3</p>
<p>with its Hamiltonian T3 phase frame. FBT0B then distinguishes the full phase torus</p>
<p>T3,</p>
<p>the relative dual-phase quotient</p>
<p>T2rel = T3/ΔU(1),</p>
<p>and the reduced T2 Liouville fibres appearing after diagonal Marsden–Weinstein reduction. The present paper works with the relative dual-phase torus</p>
<p>Σ2 := T2rel = T3/ΔU(1) ∼= T2.</p>
<p>The main claim is deliberately modest and precise. If the relative dual-phase torus Σ2 carries a genuine Hermitian Berry line bundle<br>L → Σ2<br>with unitary connection and real Berry curvature Ω, then standard Chern–Weil theory gives</p>
<p>1/2π󰁝Σ2Ω = 〈c1(L), [Σ2]〉∈ Z.</p>
<p>Thus the discreteness of the integrated Berry curvature is not introduced by an operator postulate; it is the first Chern number of a line bundle over the relative dual-phase torus.</p>
<p>A central clarification is that this result does not follow from compactness alone. Compactness and orientation provide the stage for global flux integration, but integrality requires the existence of a Berry line bundle whose curvature represents an integral cohomology class.</p>
<p>A second clarification is that this Berry-line-bundle Chern number over Σ2 is distinct from the torus-bundle Chern classes studied in FBT0B. The two structures are compatible, but they live at different geometric levels.</p>
<p>Finally, the paper explains that the Berry curvature used in the FBT framework may be viewed as the antisymmetric component of a broader quantum-geometric readout tensor. Its real part defines a local distinguishability metric on readout states, while its imaginary part gives the Berry curvature whose integral produces the Chern–holonomy constraint. The paper also explains how fibrewise Berry quantization may be compatible with a global prequantum line bundle on the six-dimensional readout when the total symplectic class is integral. This global extension is treated as an additional compatibility structure, not as a replacement for the fibrewise Berry–Chern theorem.</p>
An SPP1-positive profibrotic macrophage cell-state signature of systemic sclerosis-associated interstitial lung disease replicates across independent cohorts and motivates a non-kinase suppression framework
Authors: Ritschel, Glen Charles, Claude
Type: Preprint
Published: 2026-08-03
Keywords: systemic sclerosis, SSc-ILD, interstitial lung disease, profibrotic macrophage, SPP1, osteopontin, single-cell RNA sequencing, cross-cohort validation, signature reversal, drug repurposing, computational biology

<p>Discovery-stage computational preprint (CC-BY). An SPP1-positive (osteopontin-high) profibrotic macrophage cell-state signature of systemic sclerosis-associated interstitial lung disease (SSc-ILD) is validated across two independent lung single-cell cohorts: in discovery (GSE128169) and in an independent SSc-ILD cohort (GSE212109), the profibrotic macrophage signature (SPP1, GPNMB, TREM2, CHI3L1, and related genes) is markedly elevated in SSc-ILD lung macrophages relative to control, and an accompanying lung myofibroblast matrix program is elevated alongside it, consistent with a macrophage-fibroblast profibrotic axis. The paper reports honestly what did not hold: a resident-alveolar-macrophage program reverses direction between cohorts and is dropped from the signature, and hardened signature-reversal repurposing — after excluding cytotoxic, tool-compound, and protein-kinase-inhibitor perturbagens — is degenerate with no novel, developable non-kinase lead. It instead outlines a non-kinase, mechanism-anchored framework that suppresses the profibrotic macrophage program directly: SPP1/osteopontin antagonism, CHI3L1 inhibition, TREM2 modulation, CCR2/CCL2 blockade, and PPAR-gamma agonism. Companion to U.S. Provisional Patent Application No. 64/124,585. Not preclinical validation or medical advice.</p>
Knowing Sufficiency: Learning More from Daodejing
Authors: Minh-Hoang Nguyen, Phuong-Tri Nguyen
Type: Preprint
Published: 2026-08-03

<p>The Laozi's discussion of sufficiency (知足, zhi zu), invoked in lines such as "those who know sufficiency are rich" (Ch. 33), "knowing sufficiency avoids disgrace, knowing when to stop avoids peril" (Ch. 44), and "no fault is greater than the desire to acquire" (Ch. 46), is often read as ethical counsel rather than as a claim with identifiable structure. This note asks whether that structure can be made explicit by reusing, rather than inventing, mathematics developed for two unrelated companion notes. From an entropy-based account of value formation, a capacity bound and an entropy-reduction identity yield two propositions: that the number of things a bounded system can hold as genuine values is capped by the reciprocal of how strictly "value" is defined (Proposition 1), and that the average entropy reduction achieved per held value strictly declines as more are pursued (Proposition 2). From a cubic-nonlinearity dynamical model built to describe a society's capture by a would-be dictator, a saddle-node bifurcation and hysteresis argument, transplanted here to model acquisitive drift, shows that the threshold level of inducement needed to trigger overextension is strictly greater than the level needed to reverse it (Proposition 3), a formal reading of why "knowing when to stop" is cheap and return is not. Each result is accompanied by a worked numerical example, a brief parameter-sensitivity analysis, and a hedged practical takeaway, and the three are set alongside structurally similar patterns documented independently in psychology, economics, and ecology. None of the three results is mathematically novel; the claim, modest and check-able, is only that this particular textual claim reduces to this particular piece of elementary mathematics.</p>
Big Data, Big Lies: Sometimes Yes, and How to Uncover It in Medicine, through an Exemplar Case
Authors: ROCCETTI, MARCO
Type: Preprint
Published: 2026-08-03

<p><span>Abstract: The digital transformation of healthcare has magnified the </span><span>Big Data paradox<span>: the widespread reliance on massive observational databases, driven by the assumption that volume guarantees absolute reliability. However, scale alone cannot correct foundational structural errors; instead, it risks amplifying them and generating systemic distortions across the experimental architecture. This is particularly critical when controversial associations, such as those between COVID-19 vaccination and cancer outcomes, are derived from large datasets to reinforce specific claims. To address this methodological vulnerability, this </span>meta-research article<span> introduces a four-phase analytical framework designed for structural noise filtering and signal audit. Without taking a definitive stance on the true underlying medical associations, and holding full respect for the original authors and venues, our pipeline evaluates: (1) demographic representativeness against official national standards; (2) overall baseline cancer incidence rates to detect systemic volume anomalies; (3) target stratum-specific integrity across age brackets and exposure arms to uncover hidden selection asymmetries; and (4) exact Poisson modeling to replace large-sample asymptotic approximations that break down under sparse medical events. When applied as a stress-test case study, this framework reveals severe underlying instabilities that render the resulting findings—and potentially the dataset itself—unstable. Ultimately, this exercise in methodological failure is offered as a constructive guide for medical science: future research utilizing massive databases must move away from superficial certainty driven by sample size, anchoring safety monitoring and policy frameworks in rigorous structural boundary validation</span></span></p>