Quaternionic Spin
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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.
LaTeX2e, 15 pages, 1 PS figure; to appear in Clifford '99 proceedings
LaTeX2e, 15 pages, 1 PS figure; to appear in Clifford '99 proceedings