The spinning particles -- classical description

TL;DR

This paper provides a detailed classical analysis of spinning particles using models with one or two spinors, solving their equations of motion and discussing physical implications like particle size, gyromagnetic ratios, and cosmological hypotheses.

Contribution

It introduces and analyzes classical models of spinning particles with one or two spinors, including numerical solutions and physical interpretations.

Findings

Equations of motion are solvable for single spinor models.

Two spinor models exhibit non-linear dynamics and require numerical solutions.

Discussion of physical quantities like particle size and gyromagnetic ratios.

Abstract

The classical model of spinning particle is analyzed in details in two versions - with single spinor and two spinors put on the trajectory. Equations of motion of the first version are easily solvable. The system with two spinors becomes non-linear. Nevertheless the equations of motion are analyzed in details and solved numerically. In either case the trajectories are ilustrated and their properties are disussed. There is also discussion of possible physical quantities associated with the spinning motions. Among others: the size of particles and their gyromagnetic ratios. Finally, some possible, speculative explanations of the properties of the Universe are proposed: the origin and nature of dark matter and lack of the equilibrium bettween mater and anti-matter.