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[7] viXra:2608.0007 [pdf] submitted on 2026-08-02 00:36:14
Authors: Taha Muhammad
Comments: 3 Pages.
For centuries, the existence of a Perfect Cuboid—an Euler Perfect Box where the three edges, three face diagonals, and the internal space diagonal are all positive integers—has remained one of the most resilient open challenges in number theory. This manuscript delivers a definitive proof establishing the absolute non-existence of such a system. By decomposing the structural framework into three exhaustive geometric classes (scaloid, isosceles, and equilateral), we implement an original polynomial transformation to isolate unbreakable irrationality barriers. We demonstrate that the arithmetic parameters governing the system are mutually exclusive across all integer domains, proving that an Euler Perfect Box is structurally impossible.
Category: Number Theory
[6] viXra:2608.0006 [pdf] submitted on 2026-08-02 00:34:14
Authors: Xiaohao Xie, Wei Meng, Wenhua Jiao
Comments: 16 Pages.
Person Re-Identification (ReID) under severe occlusion remains a formidable challenge, primarily because existing discriminative models lack the capacity to infer missing topological structures, inevitably leading to fragmented feature representations and compromised metric spaces. To break this perceptual limitation, we propose a novel end-to-end Diffusion-Driven Dual-stream Framework ($text{D}^3text{F}$), which seamlessly integrates generative structural priors from Diffusion Transformers (DiT) into vision-language ReID. To overcome the high computational overhead and semantic gaps inherent in diffusion models, we first design a truncated prior extraction mechanism alongside a Cascaded Inverted Modality Shuffle Network (CIMSN) to achieve lightweight and deep cross-modal interaction. Furthermore, recognizing that divergent generative features can severely contaminate the strict distance metric space, we propose an Asymmetric Decoupled Feature Guidance (ADFG) strategy. ADFG strictly utilizes the fused generative prior as a contextual lens to update text prompts, while reverting to pure discriminative features for mask localization and final metric pooling. This restrained decoupling strategy strikes an optimal balance between occlusion-resistant inference and metric space purity. Extensive experiments demonstrate that the proposed $text{D}^3text{F}$ significantly outperforms existing methods, achieving state-of-the-art (SOTA) performance on both occluded and holistic ReID benchmark datasets.
Category: Artificial Intelligence
[5] viXra:2608.0005 [pdf] submitted on 2026-08-01 07:11:58
Authors: Manuel Abarca Hernandez
Comments: 10 Pages.
This work presents the first application of the Dark Matter by Quantum Gravitation (DMbQG) theory to the study of dark matter (DM) at cosmological scales. In Section 2.1, the first Friedmann equation is introduced within the DMbQG framework. A key feature of this approach is the explicit separation between baryonic matter density and dark matter density. It is shown that, in this theory, the dark matter density evolves with the cosmological scale factor, a, following a power-law exponent of −2.5, in contrast to the ΛCDM model, where total matter density is not differentiated and scales as a with exponent -3.In Section 2.2, the second Friedmann equation and the cosmological conservation equation are presented. From the latter, the equation-of-state parameter w is derived for baryonic matter, dark matter, and dark energy. A novel result of this work is that, for dark matter, w = −1/6, which implies that its effective density is one-half of its physical density.In Section 3, the age of the Universe is calculated first within the standard ΛCDM model and subsequently using the DMbQG framework. A central result is that the age integral obtained with DMbQG is approximately 11.5% larger than that derived from ΛCDM. This difference allows for consistency with the Hubble constant measured by the SHOES project, based on Type Ia supernovae in the local Universe, with Hu2080 = 73 km/s /Mpc, yielding an age of 14.7 Gyr. In contrast, applying this same value within ΛCDM leads to an age of 12.8 Gyr, in tension with the oldest known astrophysical objects. Consequently, ΛCDM relies on the Planck Collaboration value, Hu2080 = 67.4 km/ s/Mpc, which gives an age of 13.85 Gyr.Given that the SHOES method provides a more direct measurement of the present-day expansion rate, while the Planck value is inferred from early-Universe data (cosmic microwave background), the former may better represent the current Hubble parameter. The Hubble tension remains one of the major open problems in cosmology, and this work suggests that the DMbQG framework may offer a partial resolution by reconciling a higher Hu2080 value with a consistent estimate of the Universe’s age.
Category: Astrophysics
[4] viXra:2608.0004 [pdf] submitted on 2026-08-02 00:26:38
Authors: Arunas Ostasevicius
Comments: 8 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
This paper proposes a deterministic macroscopic model of thermal radiation from condensed matter, offering an alternative to stochastic noise approaches of fluctuational electrodynamics. Based on the concept of a continuous cascade buildup of intermittent self-oscillations of the electron subsystem during slow heating (the Bolero principle) and first-order linearized Maxwell equations, a rigorous analytical derivation of Wien’s spectral law is obtained. The thermal response parameter of a substance is expressed for the first time in terms of its fundamental macroscopic properties: the dynamic stiffness of the electron shell of the emitting center, the volumetric heat capacity of the lattice, and the unit cell volume. Numerical verification of the model using the high-temperature parameters of tungsten (W) is performed, demonstrating the exact convergence of the equations. An analytical relationship is established between the macroscopic rate of change of the medium’s temperature and the baseline amplitude of the radiation current.
Category: Quantum Physics
[3] viXra:2608.0003 [pdf] submitted on 2026-08-02 00:24:12
Authors: Julinho Jorge Luís
Comments: 16 Pages.
The Gamma function diverges at negative integer and half-integer arguments, posing a fundamental obstacle for both perturbative and non-perturbative theories. Analytic continuation, while guaranteeing uniqueness, does not preserve the Euler integral representation in the left half-plane, as noted by Hardy and Titchmarsh. We present a continuous regularization technique - the Dual Architecture - that addresses this limitation through a complementary function F(z) with directional vector opposite to that of the Gamma function. The phase function C(z)=cosu2061(πz)-sinu2061(πz) is uniquely determined by the boundary conditions F(0)=1 and F(1/2)=-√π, and its periodicity is established by Lemma 2.1. The regularized function RΓ(z)=1/[C(z)Γ(1-z)] for R(z)≤0 is finite by construction at all points where the classical Gamma function diverges, unifying regulation and subtraction within a single definition. We demonstrate the physical applicability of the technique across six systems: the cosmological constant, the Higgs boson mass, the strong CP problem, the Casimir effect, dimensional regularization in d=3, and a divergent Gaussian integral. In each case, the algebraic development is presented in full, yielding analytical results consistent with experimental values. The technique offers a unified framework for treating Gamma-function divergences across perturbative and non-perturbative regimes.Keywords: Continuous regularization, Gamma function, uniqueness theorem, Casimir effect, Standard Model.
Category: Quantum Physics
[2] viXra:2608.0002 [pdf] submitted on 2026-08-02 00:16:55
Authors: Johannes Debouto
Comments: 13 Pages. In French
The field of real numbers is essential to many scientific disciplines. The first formal constructions—which appeared long after the field's initial discovery—involve properties crucial to its modern application, most notably the property of completeness. One of the most famous of these constructions implicitly relies on the Cantor-Dedekind axiom, a concept that has often sparked controversy within the mathematical community. This work aims to demonstrate the validity of the Riemann hypothesis within the axiomatic framework of ZF plus the Cantor-Dedekind axiom, utilizing a result concerning Euler's totient function derived from the study of cyclotomic polynomials.
Category: Number Theory
[1] viXra:2608.0001 [pdf] submitted on 2026-08-02 00:12:12
Authors: Sangwha Yi
Comments: 10 Pages.
The Cosmological Special Theory of Relativity (CSTR) relates a local, unexpanded spatial coordinate to the physically expanded coordinate of a Robertson-Walker universe through a cosmological expansion function τ (t0), and re-derives relativistic wave equations, electrodynamics, and general relativity within the resulting cosmological inertial frame (Yi, 2020, 2025). Companion reviews of this program have each found, for the specific quantities they consider — Yukawa interaction ranges and cross sections, Coulomb and hydrogen-like binding energies,Schwarzschild and Kerr-Newman horizon radii, parametrized post-Newtonian coefficients, and the fixed-epoch Lorentz transformation itself— that every physically measured quantity, once expressed in the physically expanded coordinate, recovers its ordinary, epoch-independentvalue, with the cosmological expansion function appearing only in the corresponding local-coordinate expression. This paper draws togetherthat recurring finding into an explicit observational assessment: because CSTR predicts no departure from ordinary physics for any process confined to a single cosmological epoch, the theory is not constrained, but also not yet tested, by existing single-epoch observations, including present bounds on the time-variation of the fine-structure constant and the proton-to-electron mass ratio from quasar absorption spectroscopy. We argue that a genuine test of CSTR requires a process that spans a cosmologically significant interval of time within a single observation — such as the redshift-drift (Sandage-Loeb) test, multi-epoch photon propagation, or cosmological particle creation — precisely the regime in which a companion review has shown that CSTR’s transformation law departs from a simple group structure. We summarize current observational bounds relevant to each sector of the theory and identify the redshift-drift test as the most concrete near-term observational program capable of constraining CSTR’s genuinely multi-epoch predictions.
Category: Relativity and Cosmology
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