A new development in quantum field equations of dyons

TL;DR

This paper introduces a quaternionic framework for quantum field equations of dyons, deriving new quantized electromagnetic equations, continuity equations, and relativistic field equations, including the prediction of antidyons.

Contribution

It presents a novel quaternionic approach to quantum dyon fields, deriving new quantized equations and predicting the existence of antidyons, expanding the theoretical understanding of dyons.

Findings

Derived quaternionic quantized Proca-Maxwell equations for dyons

Established quantized continuity equations for electric and magnetic densities

Predicted the existence of antiparticles called antidyons

Abstract

In this study, we describe a novel approach to quantum phenomena of the generalized electromagnetic fields of dyons with quaternionic analysis. Starting with quaternionic quantum wave equations, we have established a quantized condition for time coordinate that transforms microscopic to macroscopic fields. In view of classical electromagnetic field equation, we propose a new set of quantized Proca-Maxwell's equations for dyons. Furthermore, a quantized form of four-currents densities and the quantized Lorentz gauge conditions, respectively for electric and magnetic potentials of dyons are obtained. We have established the new quantized continuity equations for electric and magnetic densities of dyons which associated with a torque density result from the two spin states. The quantized Klein-Gordon like field equations and the unified quaternionic electromagnetic potential wave equations for massive dyons are demonstrated. Moreover, we investigate the quaternionic quantized relativistic Dirac field equations for massive dyons, which indicated that there will be the existence of antiparticle of dyons called antidyons.