The cosmological evolution of the cosmological plasma with interpartial scalar interaction. I. The canonic formulation of classical scalar interaction

TL;DR

This paper develops a Hamiltonian formalism for scalar charged particles in a classical scalar field, focusing on a model where particles have zero rest mass, and clarifies the relationship between particle speed and impulse.

Contribution

It introduces a canonical Hamiltonian formulation for scalar charged particles with zero rest mass, expanding previous models and resolving ambiguities in particle kinematics.

Findings

Derived dynamic equations for scalar charged particles

Identified linear integrals of motion

Clarified the relationship between speed and impulse

Abstract

On the basis of Hamilton a formalism the dynamic equations of movement scalar charged particles in a classical scalar field are formulated. Unlike earlier published works of the author the model with zero own weight of particles is considered. Linear integrals of movement are found and ambiguity of communication between kinematic speed and an impulse of particles is specified.