OCTONION ELECTRODYNAMICS IN ISOTROPIC AND CHIRAL MEDIUM

Abstract

In order to understand the self-consistent theory of dyons, we have undertaken the study of octonion analysis of generalized Dirac–Maxwell's (GDM) equations of dyons in isotropic medium and chiral medium. Consequently, we have developed the octonion forms of potential, field and current equation of dyons in simple and compact manner in homogeneous or isotropic medium. It is emphasized that the corresponding quantum equations are invariant under Lorentz and duality transformations. Furthermore, the generalized electrodynamics of dyons in chiral medium has also been discussed in terms of simple, compact and consistent octonion analysis. It is shown that in the absence of chiral parameter the theory of dyons reduces to that for homogeneous (isotropic) medium. The generalized theory of dyons in chiral medium thus reproduces the field equation of moving charge particle-like electron (monopole) in the absence of monopole (electron) in vacuum if we consider neither chiral nor isotropic medium parameters therein.