Generalized Split-Octonion Electrodynamics

Details Generalized Split-Octonion Electrodynamics Generalized Split-Octonion Electrodynamics

2010-11-17

arxiv.org/abs/1011.3922v1

Int.J.Theor.Phys.50:1919-1926,2011

Physics

General Physics

Abstract Key Words: Split octonions, Zorn Vector Matrix Realizations, Monopoles and dyons; Abstract PACS: 14.80 Hv

Scientific paper

10.1007/s10773-011-0706-1

Starting with the usual definitions of octonions and split octonions in terms of Zorn vector matrix realization, we have made an attempt to write the consistent form of generalized Maxwell's equations in presence of electric and magnetic charges (dyons). We have thus written the generalized potential, generalized field, and generalized current of dyons in terms of split octonions and accordingly the split octonion forms of generalized Dirac Maxwell's equations are obtained in compact and consistent manner. This theory reproduces the dynamic of electric (magnetic) in the absence of magnetic (electric) charges.

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