Abstract
Formulations of the special theory of relativity in the Dirac or ‘‘space-time’’ algebra are compared with those in the simpler algebra of 2×2 matrices (‘‘Pauli algebra’’). The Dirac algebra separates elements into odd and even multivectors, but this feature is not needed in most practical calculations. As a result, Pauli-algebra formulations are just as powerful in most cases. Furthermore, the new correction angle φ, which Salingaros found with the Dirac algebra to be required to describe the product of two boosts, is shown to be identically zero, and new results for special boost combinations are derived.
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