Octonion form of duality-invariant field equations for dyons

Authors: MUSTAFA EMRE KANSU, MURAT TANIŞLI, SÜLEYMAN DEMİR

Abstract: The hypothetical particles dyons, which carry both electric and magnetic charges simultaneously, are widely discussed in application to electromagnetic theory and magnetohydrodynamics. Particularly, the duality-invariant field equations were suggested with suitable definitions of the dyon's electromagnetic characteristics. In this study, we propose an alternative formulation of the duality-invariant field equations for dyons based on octonion algebra. Octonions have been 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.

Keywords: Octonions, Maxwell equations, magnetic monopole, dyon, conservation of energy

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