The spinning particles -- classical description

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.