The classical Maxwell-Lorentz electrodynamics aspects of the electron inertia problem within the Feynman proper time paradigm

TL;DR

This paper derives Maxwell-Lorentz equations within Feynman's proper time framework, analyzes electron inertia through Lagrangian and Hamiltonian formalisms, and discusses electromagnetic mass origin and radiation damping effects.

Contribution

It introduces a novel derivation of fundamental equations in the Feynman proper time paradigm and offers new insights into the electromagnetic origin of electron mass.

Findings

Derived modified Abraham-Lorentz damping force

Analyzed electron inertia within vacuum field theory

Proposed electromagnetic origin of electron mass

Abstract

The Maxwell electromagnetic and the Lorentz type force equations are derived in the framework of the R. Feynman proper time paradigm and the related vacuum field theory approach. The electron inertia problem is analyzed within the Lagrangian and Hamiltonian formalisms and the related pressure-energy compensation principle. The modified Abraham- Lorentz damping radiation force is derived, the electromagnetic electron mass origin is argued.