Mathematical Physics

2511 Submissions

[3] viXra:2511.0067 [pdf] submitted on 2025-11-14 12:16:03

Elementary Particles Rest Mass Formula and the Weak Interaction2

Authors: Claude Michael Cassano
Comments: 4 Pages.

A single formula for every non-neutrino fermion rest mass is determined based on the E/B triplet electromagnetic-nuclear-weak field-strengths and the Weak Interaction is simply explained based on these field-strengths also determining the W and Z masses.
Category: Mathematical Physics

[2] viXra:2511.0056 [pdf] submitted on 2025-11-14 01:14:09

Analytical Solutions for the Many-Body Problem

Authors: Jinyong Liu
Comments: 12 Pages.

This work is a theoretical breakthrough in the study of the many-body problem. Breaking the long-standing myth that the many-body problem cannot be solved analytically, the analytic solutions of the orbit equation, periodic formula, and the motion equation of the many-body problem are obtained skillfully herein. Furthermore, this study offers a rigorous mathematical proof of the coplanarity and common direction of celestial bodies within such systems. The conclusions are mathematically accurate and complete, potentially marking a culmination of over 300 years of inquiry since Newton first posed the problem. From a physics perspective, this study provides a theoretical basis for the stable operation of celestial systems that is fully aligned with astronomical observation across large and small galactic structures. Notably, the discovery that the orbital period of celestial bodies is related to their own mass is of great significance for studying the formation and evolution of galaxies and planetary systems.
Category: Mathematical Physics

[1] viXra:2511.0055 [pdf] submitted on 2025-11-14 01:23:07

Central Gravity Theory

Authors: Jinyong Liu
Comments: 12 Pages. (Note by viXra Admin: Please cite and list scientific references)

This study analyzes the application limitations of Newton’s law of gravitational force in the many-body problem and reveals the fundamental problems with the application of Newton’s gravitational formula in the current central configuration theory widely used in celestial mechanics. A new method suitable for the synthesis of gravitational vectors in many-body systems is proposed, and a new central gravity theory system is constructed accordingly. The proposed theory provides a concise framework for the dynamic modeling and analysis of complex celestial systems. Based on the many-body mechanical equation established by the central gravity formula, the analytical solution of the many-body problem was successfully solved, and an important theoretical breakthrough in this field was achieved in the field. It has been more than 300 years since Newton proposed the three-body and many-body problems. The central gravitational formula has undergone rigorous mathematical derivation and logical verification, and this formula now has theorem properties, marking the substantial progress of celestial mechanics. The theory of central gravity is expected to have a profound impact on the theoretical development of astrophysics.
Category: Mathematical Physics