| viXra.org > Mathematical Physics > 2604 |
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| viXra.org > Mathematical Physics > 2604 |
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[7] viXra:2604.0116 [pdf] submitted on 2026-04-30 20:25:00
Authors: Ervin Goldfain
Comments: 13 Pages.
Rényi entropy is a generalization of the standard Shannon entropy and plays an important role in understanding complex dynamics of non-equilibrium systems. In line with [7], this brief report discusses the definition and application of Rényi entropy to Quantum Field Theory (QFT) and gravitational regime of primordial cosmology. In particular, we review the connection between Rényi entropy and entanglement entropy, on the one hand, and the maximal entropy principle (MEP), on the other. Remarkably, the latter enables derivation of the Higgs and W-boson masses in close agreement with experimental data. Appealing to multifractal analysis and the concept of generalized dimensions, we further bridge the divide between Rényi entropy and the "sum-of-squares" relationship of particle physics, corresponding to maximally entropy at index q=0. We emphasize the deep analogy between QFT entanglement and long-range correlations of complex dynamics and indicate that the MEP aligns with the universal route to chaos described by the Feigenbaum scenario. Finally, we review how Rényi entropy can be used to derive the four dimensionality of classical spacetime for q=1/2.
Category: Mathematical Physics
[6] viXra:2604.0114 [pdf] submitted on 2026-04-29 09:33:32
Authors: Andreas Ball
Comments: 17 Pages.
Firstly a very accurate formula for the Light Velocity is presented, at which the figures 144 and 666 are applied. An extremely accurate formula for the Light Velocity is presented in additional dependence of the figure 137. Furthermore an investigation about the figure 137 and its connection to other figures are given. The Physicist Arnold Sommerfeld investigated the spectral lines of the hydrogen atom and derived a value, which he called the Fine Structure Constant and which became famous by its reciprocal 137. The Physician Wolfgang Pauli and also the Psychoanalyst Carl G. Jung were occupied with the significance of the figure 137 by a metaphysical view. Why their undertaking was not devious, that shows a proof at the end of this report.
Category: Mathematical Physics
[5] viXra:2604.0098 [pdf] submitted on 2026-04-26 18:34:15
Authors: Wan-Chung Hu
Comments: 37 Pages. (Note by viXra Admin: Please cite listed scientific reference and submit article written with AI assistance to ai.viXra.org)
Similar to electroweak interaction, strong force and electromagnetism can have similar Higgs mechanism mediated interaction. Thus, gluons can acquire mass. And, neural colored gluons have larger mass than colored gluons. Total, we can have eight gluons without red-anti-red gluon. The puzzle of proton or neutron mass can be solved. We can also derive a new SU(5) model to include all the above eight gluons, three W/Z bosons, photon, Higgs boson, three generations of leptons and quarks to make a new 5x5 SU(5) model. Wightman axioms can be fulfilled in this new SU(5) without causing proton decay crisis. !6f matter field construction is used to put all the particles. We can also add the 4x4 four dimensional spacetime tensor integrating mass-energy density, light pressure, electric fields, and magnetic fields as well as four gradients to make a new contravariant SO(10) model. Weyl tensor and Ricci tensor related to the new SO(10) model are also given. Thus, grand unified theory or theory of everything can be obtained, that is compatible with four dimensional spacetime without extra-dimension needed in string theories.
Category: Mathematical Physics
[4] viXra:2604.0095 [pdf] submitted on 2026-04-24 19:59:00
Authors: Hongyuan Ye
Comments: 7 Pages. (Note by viXra Admin: Please cite and list scientific references)
[In the author's opinion,] Maxwell’s equations are an integration of divergence, curl, and classical electromagnetism. Based on [this] definition, divergence and curl can apply to static electromagnetic fields, [but] not to dynamic, time-varying ones[?]
Category: Mathematical Physics
[3] viXra:2604.0091 [pdf] submitted on 2026-04-23 09:09:28
Authors: Payam Danesh, Raoul Bianchetti
Comments: 16 Pages.
This paper studies a linear kinetic equation on a periodic phase space with free transport in position and Ornstein-Uhlenbeck relaxation in velocity. The equation is formulated in the weighted Hilbert space associated with the Maxwellian equilibrium. In that setting, the paper establishes the dissipation identity, conservation of mass, semigroup well-posedness, microscopic coercivity in velocity, and exponential convergence to equilibrium on the zeromass subspace. The spatially homogeneous problem is treated separately, where the entropy law and exponential entropy decay follow directly from the Gaussian logarithmic Sobolev inequality. A final numerical section presents a Fourier-Hermite discretization and illustrates the same relaxation mechanism at the level of decay curves, spectral localization, and density profiles.
Category: Mathematical Physics
[2] viXra:2604.0022 [pdf] submitted on 2026-04-08 20:27:44
Authors: Carson Anderson
Comments: 9 Pages.
Admissibility is shown to be necessary for any well-defined comparison, defined by invariance under relabeling, refinement, composition, finite propagation, and closure. From these constraints, relational structure and compositional consistency are forced, uniquely determining the form of admissible scalar comparison. Every alternative introduces dependence on representation, decomposition, or descriptive scale and is therefore excluded.This establishes quadratic invariant structure as a necessary condition of physical description. Its appearance in both general relativity and quantum theory is not contingent, but structurally inevitable. Any theory admitting well-defined scalar comparison must realize this constraint.
Category: Mathematical Physics
[1] viXra:2604.0004 [pdf] submitted on 2026-04-02 21:24:27
Authors: Alberto Coe
Comments: 4 Pages. (Note by viXra Admin: Please cite and list scientific references)
We examine the possibility that selected physical observables may approximately organizearound a discrete half-integer harmonic semilattice generated by the ratio 3/2. Taking the electron rest energy as a reference scale.
Category: Mathematical Physics
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