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Octonionic Electrodynamics

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arxiv hep-th/0512258 v2 pith:HVWSUM2L submitted 2005-12-20 hep-th gr-qcmath-phmath.MPmath.RA

Merab Gogberashvili This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MPmath.RA
keywords equationsclassicalelectrodynamicsoctonionicalgebraapproximationsassociativityconnected
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Dirac's operator and Maxwell's equations in vacuum are derived in the algebra of split octonions. The approximations are given which lead to classical Maxwell-Heaviside equations from full octonionic equations. The non-existence of magnetic monopoles in classical electrodynamics is connected with the using of associativity limit.

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  1. The Dirac equation in (split-)octonions: origins, variants, and modern context

    math-ph 2026-06 conditional novelty 5.0 of 10

    Four approaches to the Dirac equation in (split-)octonions are classified; a 2024 split-octonionic equation is shown identical to the 2006 2-factor form by structure-preserving rotation and relabeling.

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