Quaternionic electrodynamics

TL;DR

This paper introduces a quaternionic framework for electrodynamics that inherently includes magnetic monopoles and generalizes key concepts like charge quantization.

Contribution

It develops a quaternionic formalism for electrodynamics, supporting magnetic monopoles and extending Dirac's monopole theory and charge quantization.

Findings

Derived field equations and conservation laws within the quaternionic formalism

Generalized Dirac monopole and charge quantization rule

Established energy and momentum conservation in the new framework

Abstract

We develop a quaternionic electrodynamics and show that it naturally supports the existence of magnetic monopoles. We obtained the field equations, the continuity equation, the electrodynamic force law, the Poynting vector, the energy conservation and the stress-energy tensor. The formalism also enabled us to generalize the Dirac monopole and the charge quantization rule.