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Dirac and Maxwell equations in Split Octonions

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arxiv 1610.06418 v1 pith:PQBPQDRM submitted 2016-10-03 physics.gen-ph hep-th

Revaz Beradze , Tsotne Shengelia This is my paper · ORCID
classification physics.gen-phhep-th
keywords equationssplitdiracmaxwelloctonionicoctonionsanalyticityattempts
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The split octonionic form of Dirac and Maxwell equations are found. In contrast with the previous attempts these equations are derived from the octonionic analyticity condition and also we use different basis of the 8-dimensional space of split octonions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Discrete octonionic analysis: a unified approach to the split-octonionic and classical settings

    math.CV 2025-02 conditional novelty 4.0 of 10

    The paper proposes a unified discrete operator calculus for octonions and split-octonions, extending earlier octonionic results to the split case by swapping a set of index sets.

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