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| viXra.org > Mathematical Physics > 2409 |
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[6] viXra:2409.0173 [pdf] replaced on 2024-10-01 15:03:07
Authors: Alfonso De Miguel Bueno
Comments: 10 Pages.
This paper presents a deterministic model that unifies gravitational, strong, weak, and electromagnetic interactions by examining the intersection of gravitational fields. Drawing a connection to bi-gravity theories, where two metric tensors describe gravitational behavior, the model highlights how expanding and contracting fields couple and influence curvature. These intersecting fields, characterized by complementary topological transformations, form a shared nucleus of subfields and reinterpret singularities as abrupt curvature discontinuities, linking phenomena across quantum and cosmic scales. The model offers insights into energy and density transfer and information preservation. It explores connections to dark matter, reflection positivity, the mass gap problem, and Hodge cycles, providing a pathway to understand the breakdown of General Relativity in both atomic and black hole structures.
Category: Mathematical Physics
[5] viXra:2409.0117 [pdf] submitted on 2024-09-22 16:05:08
Authors: Tristan Siokos
Comments: 19 Pages.
e Magnetic Ion Modulation (MIM) Theory presents a unified and groundbreaking mathematical framework for controlling and predicting ion behavior in both biological and non-biological systems using external magnetic fields. Central to the theory is the **Ion Modulation Constant** (Tn), a context-specific scaling factor that quantifies the number of ions modulated under specific conditions. This constant, although not universal, allows for accurate modelling of ion modulation in systems ranging from neuronal ion channels to plasma physics and quantum computing. The MIM equation incorporates ion properties such as magnetic moment and permeability, providing insights into neuromodulation for treating chronic pain and epilepsy, plasma confinement in fusion research, and stabilization of ion qubits in quantum computing. This paper includes detailed derivations of the Ion Modulation Constant, examples of its application to specific ions, and a comprehensive exploration of potential experimental validations.
Category: Mathematical Physics
[4] viXra:2409.0067 [pdf] submitted on 2024-09-13 20:54:42
Authors: J. G. Moxness
Comments: 17 Pages.
This "paper with code" is a Mathematica analysis of recent work by Furey on identifying connections between the Standard Model (SM), group theory, particle physics, and the hypercomplex number systems of RCHO. It is a brief overview with results of the analysis followed up with an ancillary notebook showing the full detail of the computations that validate the operation of the logical constructs behind the ideas. It uses a comprehensive symbolic computational environment purpose-built over several decades to study and visualize hypercomplex number systems, representational group theory, and the associated experimental and theoretical physics concepts that use them.
Category: Mathematical Physics
[3] viXra:2409.0060 [pdf] replaced on 2025-10-23 14:51:38
Authors: Richard Shurtleff
Comments: 38 page paper with 2 figures and 2 tables plus a 17 page FORTRAN program
The Lie algebra of a Lie group is a set of commutation relations, equations satisfied by the group's generators. For SU(2) and many other Lie groups, the equations have been solved and matrix generators are realized as algebraic expressions. This article derives formulas for a basis of matrix generators for the irreducible representations of the Lie group SU(3). A special sequence of eigenvectors is deduced to assist in the derivation. As algebraic functions, the formulas are suited to numerical evaluation, algebraic manipulations, and analytic operations.PACS: 02.20.Qs General properties, structure, and representation of Lie groups
Category: Mathematical Physics
[2] viXra:2409.0032 [pdf] submitted on 2024-09-08 03:04:58
Authors: Xianzhao Zhong
Comments: 19 Pages.
At the beginning of this paper, by the generalized wave equation ofelectric field and the solution of equation. We apply Caratheodory’saxiomatization to define potential function and entropy function ofcharged particles of the system. After introducing the relative rate ofchange of energy, their corresponding entropy function are defined bythe potential energy and the quantum energy.
Category: Mathematical Physics
[1] viXra:2409.0005 [pdf] submitted on 2024-09-01 07:58:46
Authors: Alexander P. Klimets
Comments: 4 Pages.
The paper "How to place the Universe at a "point"" puts forward a hypothesis about the nature of singularities in black holes and at the birth of the observable Metagalaxy. This hypothesis is developed in relation to terrestrial black holes.
Category: Mathematical Physics
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