The full energy regularization of point charge in classical electrodynamics

TL;DR

This paper proves the convergence of the total energy of a point charge in classical electrodynamics using strict solutions of nonlinear electrostatic and gravistatic equations, revealing mass defect effects due to gravitational interaction.

Contribution

It provides a rigorous analytical proof of energy convergence and mass defect effects for point charges in classical field theory, based on nonlinear equation solutions.

Findings

Convergence of the total energy of a point charge is mathematically demonstrated.

Mass defect caused by gravity leads to the vanishing of the bare mass in the point limit.

Analytical confirmation using Markov's Friedmon mass formula.

Abstract

Convergence of the full energy (mass) of point charged particle by means of direct calculation is proved. The consideration is based on the strict solutions of nonlinear equations system of electrostatics and gravistatics in the classical field approach. Analytical calculation in the case of point charge mass of Markov's "Friedmon" M=e/(G^0.5) has confirmed. It is shown that mass defect caused by gravitational interaction leads to degradation of bare (phenomenological) mass and to its full vanishing from a total mass of system in the limit of point particle.