Mathematical Physics

2506 Submissions

[5] viXra:2506.0166 [pdf] submitted on 2025-06-30 21:24:16

Principium Geometricum

Authors: Pedro A. Kubitschek Homem de Carvalho
Comments: 14 Pages.

Abstract ApresentamosoPrincipiumGeometricum, umquadrounificadoque, apartir de trêspilares clássicos—aSegundaLei deNewton(F=ma), aLei deGauss (∇·E=ρ/ε0)easequaçõesdeEinstein(Gµν=8πGTµν/c4)—derivaumúnico campodereferênciaU.Definimosamassageométrica mg = V (∇·U)dV eintroduzimosaconstanteunificadora αf=kfl2 P, αU=kel2 P≈2,3×10−60, permitindorecuperarasquatroforçasfundamentaissemhipótesesadicionais.Adicionalmente, incorporamos umtempo oscilatórioT(t) que, ao reparametrizar a dinâmica,produztrajetóriasde"caossuave"emgeometriastoroides
Category: Mathematical Physics

[4] viXra:2506.0137 [pdf] replaced on 2025-11-18 23:07:06

Double Stochastic Quantization:non Perturbative Approach to Stochastic Quantization F_d ^2n , N ≥ 2, D ≥ 4 Model Eucledean Quantum Field Theory

Authors: Jaykov Foukzon
Comments: 154 Pages.

In this paper, we show how the finite formulation of quantum field theory based on Langevin equations can be generalized to the case of nonrenormalizable theories.The 5th-time stochastic-quantization approach to field theory proposed by Parisi and Wu, is put in a path-integral form in [6]. The procedure of taking the limit τ→∞ is analyzed and based on new grounds through the introduction of thevacuum-vacuum generating functional. In this paper non perturbative aprouch related to Parisi and Wu stochastic-quantization of the λϕ_{d}²u207f,n≥2,d≥4 model quantum field theory is considered.
Category: Mathematical Physics

[3] viXra:2506.0131 [pdf] submitted on 2025-06-22 20:49:07

e/P Mass Ratio and F.S.C. Calculation from the Hydrogen Ground State

Authors: Eric Louis Beaubien
Comments: 4 Pages. (Note by viXra Admin: Please cite and list scientific references)

The fine structure constant and electron/proton mass ratio can be reasonably derived from the hydrogen ground state wherein mass and inertia test against electric charge in the most fundamental configuration. The contention is that because these numbers are ‘pure’ numbers, we can dispense with physics altogether and solve the problem of their numeric quantity from a purely logical-probabilistic-mathematical perspective.
Category: Mathematical Physics

[2] viXra:2506.0070 [pdf] submitted on 2025-06-14 02:27:04

On Noether Theorem and Generalizations

Authors: Lucian M. Ionescu
Comments: 58 Pages. Presentation at Illinois State University Pure and Applied Mathematics Seminar 2025.

"Understanding" involves Networking Concepts and Theories, e.g. within a mathematics area and between areas (Algebra and Geometry: from Descartes and Galois to Klein and beyond, e.g. Noether & Langland). Such a higher level of understanding, is advocated (pioneered?) by Andre Weil’s "Power of Analogy", with contributions from Simone Weil, in connection with the "Number Field / Function Field Analogy". We use such analogies to substantiate the tower of theories: Geometry, Homotopy Theory and Dynamics, as a background for understanding Lagrangian Mechanics vs. metric geometry, towards grasping in a simpler way Noether Theorem relating groups of symmetry and conserved quantities in Physics. This is another use of Galois Principle, as explained in a previous talk on Programs in Mathematics and Physics. The presentation is at an undergraduate level, with pictures available YouTube’s author channel, part of the zoom recording of the talk.
Category: Mathematical Physics

[1] viXra:2506.0057 [pdf] submitted on 2025-06-12 20:56:06

The Visages of the Lorentz-Einstein Law Speculative Analysis with the Extrinsic Method

Authors: Thierry L. A. Periat
Comments: 31 Pages.

This document presents an application of the extrinsic method through a generic and pedagogical example that can be applied to the co-variant formulation of the Lorentz law. The unsaid hope of this approach is the discovery of some unexplored or weakly explored links between two theories because the formalism of this law is a natural bridge between the electromagnetism and the gravitation. The analysis is able to propose (i) a new formalism for the (2, 0) version of the electromagnetic fields and (ii) a speculative confrontation with the theory of spinors resulting in a theoretical prediction, precisely: the existence of electromagnetic fields mimicking anti-symmetric variations of the metric tensor; and conversely.
Category: Mathematical Physics