A relativistic quantum theory of dyons wave propagation

TL;DR

This paper develops a quaternionic relativistic quantum theory for dyons, unifying electric and magnetic charges, and explores their electromagnetic wave propagation, gauge conditions, and field equations.

Contribution

It introduces a new quaternionic form of relativistic wave equations for dyons, extending quantum electrodynamics to include magnetic monopoles and their quantum field structure.

Findings

Derivation of quaternionic relativistic wave equations for dyons

Generalized Lorentz gauge conditions for electric and magnetic charges

Quantum field equations related to London superconductor models

Abstract

Beginning with the quaternionic generalization of the quantum wave equation, we construct a simple model of relativistic quantum electrodynamics for massive dyons. A new quaternionic form of unified relativistic wave equation consisting of vector and scalar functions is obtained, and also satisfy the quaternionic momentum eigenvalue equation. Keeping in mind the importance of quantum field theory, we investigate the relativistic quantum structure of electromagnetic wave propagation of dyons. The present quantum theory of electromagnetism leads to generalized Lorentz gauge conditions for the electric and magnetic charge of dyons. We also demonstrate the universal quantum wave equations for two four-potentials as well as two four-currents of dyons. The generalized continuity equations for massive dyons in case of quantum fields are expressed. Furthermore, we concluded that the quantum generalization of electromagnetic field equations of dyons can be related to analogous London field equations (i.e., current to electromagnetic fields in and around a superconductor).