The Vacuum Structure, Special Relativity and Quantum Mechanics Revisited: a Field Theory No-Geometry Approach within the Lagrangian and Hamiltonian Formalisms. Part 2

TL;DR

This paper develops a field theory no-geometry approach to analyze vacuum structure, special relativity, electrodynamics, and quantum mechanics, reformulating classical models and exploring unified descriptions of fundamental interactions.

Contribution

It introduces a novel vacuum field theory no-geometry framework with Lagrangian and Hamiltonian reformulations of classical electrodynamics and a Dirac quantization procedure.

Findings

Reformulated classical electrodynamics models within the new framework

Developed a Dirac type quantization procedure for alternative models

Explored the possibility of unified electrodynamics and gravity description

Abstract

The main fundamental principles characterizing the vacuum field structure are formulated and the modeling of the related vacuum medium and charged point particle dynamics by means of devised field theoretic tools are analyzed. The work is devoted to studying the vacuum structure, special relativity, electrodynamics of interacting charged point particles and quantum mechanics, and is a continuation of \cite{BPT,BRT1}. Based on the vacuum field theory no-geometry approach, the Lagrangian and Hamiltonian reformulation of some alternative classical electrodynamics models is devised. The Dirac type quantization procedure, based on the canonical Hamiltonian formulation, is developed for some alternative electrodynamics models. Within an approach developed a possibility of the combined description both of electrodynamics and gravity is analyzed.