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Generalized Split-Octonion Electrodynamics

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Abstract

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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Author notes

  1. O. P. S. Negi

    Present address: Fachbereich Physik, Universität Konstanz, Postfach-M 677, 78457, Konstanz, Germany

Authors and Affiliations

  1. Department of Physics, Kumaun University, S.S.J. Campus, Almora, 263601, UK, India

    B. C. Chanyal, P. S. Bisht & O. P. S. Negi

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  1. B. C. Chanyal
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  2. P. S. Bisht
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  3. O. P. S. Negi
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Correspondence to O. P. S. Negi.

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Chanyal, B.C., Bisht, P.S. & Negi, O.P.S. Generalized Split-Octonion Electrodynamics. Int J Theor Phys 50, 1919–1926 (2011). https://doi.org/10.1007/s10773-011-0706-1

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  • DOI: https://doi.org/10.1007/s10773-011-0706-1

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