Octonion form of duality-invariant field equations for dyons

Abstract

The hypothetical particles dyons, which carry both electric and magnetic charges simultaneously, are widelydiscussed in application to electromagnetic theory and magnetohydrodynamics. Particularly, the duality-invariant fieldequations were suggested with suitable definitions of the dyon’s electromagnetic characteristics. In this study, we proposean alternative formulation of the duality-invariant field equations for dyons based on octonion algebra. Octonions havebeen used to express the equations for potentials, field strengths, and sources in a more compact and consistent manner.Additionally, the octonionic form of the energy conservation law for dyons has been derived.