Application of matrix solutions to modeling in particle physics

Abstract

All constructions in the paper are based on matrix solutions of nonlinear and linear wave equations. Helical and toroidal motions, toroidal vortices, torsion fields are described by matrix solutions. Interactions between rotating toroidal vortices are represented by attraction or repulsion of torsion fields. Simple models of quarks and basic particles, e.g., proton, neutron, electron, and neutrino are proposed.