On the main equations of electrodynamics

TL;DR

This paper introduces a nonlinear system of equations for electrodynamics, preserving classical theory while proposing solutions with photon-like properties and considering the vacuum as a medium, addressing relativistic interactions.

Contribution

It presents a novel nonlinear formulation of electrodynamics that maintains classical principles and explores photon-like solutions and vacuum properties.

Findings

Solutions exhibit photon properties

Vacuum modeled as a physical medium

Addresses relativistic medium interactions

Abstract

Instead of a linear system of equations for a free electromagnetic field, we propose a nonlinear system of equations. The classical electrodynamics is preseved. The appeared solutions (the electromagnetic fields) having photon properties. The theory posits the vacuum is a physical medium. The most important problems of relativistic interaction of interpenetrating mediums are studied.