Dual octonion electrodynamics with the massive field of dyons

Abstract

In recent work, we formulated a new set of electrodynamic equations for massive dyons using dual octonion algebra. Starting with the dual octonion algebra, we develop the generalized electromagnetic field equations for massive dyons. We have made an attempt to obtain the symmetrical form of generalized Proca-Dirac-Maxwell equations with respect to the dual octonion form. Furthermore, we have constructed the Klein–Gordon field equation for massive dyons in terms of the dual octonion. Thus the main advantages of present formalism are discussed in terms of compact and simpler notations of dual octonion components of massive dyons despite of non-associativity of dual octonions.