Comments on the dependence between electric charge and magnetic charge

TL;DR

This paper explores the relationship between electric and magnetic charges within a duality symmetric electromagnetic framework, revealing conditions under which these charges become dependent and discussing implications for EM theory.

Contribution

It introduces a specific reduction of the SO(2) duality symmetric EM field theory to a magnetic source free case, highlighting the dependence between electric and magnetic charges.

Findings

Electric and magnetic charges are not independent under certain conditions.

The SO(2) duality symmetry can be reduced to a magnetic source free scenario.

The reduction leads to a dependent relationship between electric and magnetic charges.

Abstract

By using the two 4-dimensional potential formulation of electromagnetic (EM) field theory introduced in [1], we found that the SO(2) duality symmetric EM field theory can be reduced to the magnetic source free case by a special choice of SO(2) parameter,this special case we called nature picture of the EM field theory, the reduction condition led to a result, i.e. the electric charge and magnetic charge are no more independent. Some comments to paper [SD] are also mentioned.