The phase symmetry of classical electrodynamics

TL;DR

This paper explores the phase symmetry in classical electrodynamics without charges, revealing new Lagrangians and analyzing their symmetry properties, drawing parallels with quantum mechanics.

Contribution

It introduces alternative Lagrangians for classical electrodynamics based on phase symmetry, expanding the theoretical framework.

Findings

Identified dynamic U(1) symmetry in classical electrodynamics

Derived new Lagrangians similar to quantum mechanics

Analyzed symmetry properties of these Lagrangians

Abstract

The dynamic $U (1)$ symmetry of classical electrodynamics without charges, similar to the known phase symmetry of quantum mechanics, is analyzed. Using this symmetry, alternative Lagrangians of classical electrodynamics, similar to quantum-mechanical ones, were found, and their symmetry properties were investigated.