Generalization of Schwinger-Zwanziger Dyon to Quaternion

TL;DR

This paper extends the Schwinger-Zwanziger dyon framework to quaternionic form, unifying electric, magnetic, gravitational, and Heavisidian charges in a covariant theory of gravi-electromagnetism.

Contribution

It introduces a quaternionic generalization of the dyon model, unifying electromagnetic and gravitational monopoles within a consistent, covariant theoretical framework.

Findings

Derived quaternionic charge relations for dyons and gravito-dyons.

Reformulated the dynamics of four charges in a covariant manner.

Unified electromagnetic and gravitational monopoles in a single formalism.

Abstract

Postulating the existence of magnetic monopole in electromagnetism and Heavisidian monopoles in gravitational interactions, a unified theory of gravi-electromagnetism has been developed on generalizing the Schwinger-Zwanziger formulation of dyon to quaternion in simple and consistent manner. Starting with the four Lorentz like forces on different charges, we have generalized the Schwinger-Zwanziger quantization parameters in order to obtain the angular momentum for unified fields of dyons and gravito-dyons (i.e. Gravi-electromagnetism). Taking the unified charge as quaternion, we have reformulated manifestly covariant and consistent theory for the dynamics of four charges namely electric, magnetic, gravitational and Heavisidian associated with gravi electromagnetism. PACS No: 14.80 Hv.