Article,

Quaternions and Special Relativity

.
Journal of Mathematical Physics, 37 (6): 2955--2968 (1996)
DOI: 10.1063/1.531548

Abstract

We reformulate Special Relativity by a quaternionic algebra on reals. Using real linear quaternions, we show that previous difficulties, concerning the appropriate transformations on the 3+1 space–time, may be overcome. This implies that a complexified quaternionic version of Special Relativity is a choice and not a necessity.

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