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Quaternionic Spin

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arxiv hep-th/9910010 v2 pith:NRNITJPP submitted 1999-10-01 hep-th

Tevian Dray , Corinne A. Manogue This is my paper · ORCID
classification hep-th
keywords correctdescriptiondimensionaldiracequationmasslessquaternionicspin
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We rewrite the standard 4-dimensional Dirac equation in terms of quaternionic 2-component spinors, leading to a formalism which treats both massive and massless particles on an equal footing. The resulting unified description has the correct particle spectrum to be a generation of leptons, with the correct number of spin/helicity states. Furthermore, precisely three such generations naturally combine into an octonionic description of the 10-dimensional massless Dirac equation, as discussed in previous work.

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Cited by 1 Pith paper

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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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