Magnetic monopoles and Lorentz force

TL;DR

This paper develops a generalized classical electromagnetism framework incorporating magnetic monopoles using a two-potential approach, deriving Maxwell's equations and Lorentz force law from an action principle.

Contribution

It introduces a symmetrized formulation of electromagnetism with magnetic charges and derives fundamental laws from an action principle, extending classical theory.

Findings

Derived Maxwell's equations with magnetic monopoles.

Obtained Lorentz force law from energy-momentum tensor conservation.

Presented a consistent action integral for the extended theory.

Abstract

The formulation of a generalized classical electromagnetism that includes both electric and magnetic charges, is explored in the framework of two potential approach. It is shown that it is possible to write an action integral from which one can derive, by least action principle, the symmetrized set of Maxwell's equations, but also the Lorentz force law by employing the energy-momentum tensor conservation.