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arXiv · hep-th/9910010

Quaternionic Spin

Tevian Dray·Corinne A. Manogue
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Abstract

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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Tevian Dray, Corinne A. Manogue. 1999-10-04. Quaternionic Spin. https://arxiv.org/abs/hep-th/9910010

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