Quaternionic Spin
High Energy Physics - Theory
2007-05-23 v2
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.
Cite
@article{arxiv.hep-th/9910010,
title = {Quaternionic Spin},
author = {Tevian Dray and Corinne A. Manogue},
journal= {arXiv preprint arXiv:hep-th/9910010},
year = {2007}
}
Comments
LaTeX2e, 15 pages, 1 PS figure; to appear in Clifford '99 proceedings