Generalized Octonion Electrodynamics

TL;DR

This paper reformulates the equations governing dyons using octonion algebra, addressing non-associativity issues to develop a covariant and consistent generalized electrodynamics framework.

Contribution

It introduces a novel octonion-based formulation of dyon electrodynamics, highlighting necessary constraints due to octonion non-associativity for consistency.

Findings

Octonion formulation of dyon equations developed

Constraints imposed to handle non-associativity

Achieves covariant and consistent generalized electrodynamics

Abstract

We have made an attempt to reformulate the generalized field equation of dyons in terms of octonion variables. Octonion forms of generalized potential and current equations are discussed in consistent manner. It has been shown that due to the non associativity of octonion variables it is necessary to impose certain constraints to describe generalized octonion electrodynamics in manifestly covariant and consistent manner.