Coulomb force between two Dirac monopoles

TL;DR

This paper demonstrates that the force between two Dirac monopoles follows a Coulomb-like law, providing an educational example of fundamental electromagnetism concepts suitable for students.

Contribution

It provides a derivation showing Coulomb-like interaction between Dirac monopoles, clarifying their force law in a pedagogical context.

Findings

Force between Dirac monopoles obeys Coulomb-like law

Derivation is suitable for undergraduate teaching

Clarifies subtleties of Dirac monopole interactions

Abstract

The model of magnetic monopoles that was proposed by Paul Dirac in 1931 has long been a subject of theoretical interest in physics because of its potential to explain the quantization of electric charge. While much attention has been given to non-Dirac monopoles, Dirac's model, which involves an infinitely thin solenoid known as a Dirac string, presents subtleties in the interaction between monopoles. In this paper, we show that the force between two Dirac monopoles obeys a Coulomb-like interaction law. This derivation offers an instructive exercise in fundamental electromagnetism concepts and is appropriate for undergraduate and early graduate-level students.