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The Dirac algebra and its physical interpretation

Peter Rowlands·John P. Cullerne
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Abstract

A version of the Dirac equation is derived from first principles using a combination of quaternions and multivariate 4-vectors. The nilpotent form of the operators used allows us to derive explicit expressions for the wavefunctions of free fermions, vector bosons, scalar bosons; Bose-Einstein condensates, and baryons;annihilation, creation and vacuum operators; the quantum field integrals; and C, P and T transformations; and to suggest new insights into the meaning of supersymmetry and renormalization.

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Peter Rowlands, John P. Cullerne. 2000-10-27. The Dirac algebra and its physical interpretation. https://arxiv.org/abs/quant-ph/0010094

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