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Relativistic velocity space, Wigner rotation and Thomas precession

John A. Rhodes·Mark D. Semon
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Abstract

We develop a relativistic velocity space called \emph{rapidity space} from the single assumption of Lorentz invariance, and use it to visualize and calculate effects resulting from the successive application of non-colinear Lorentz boosts. In particular, we show how rapidity space provides a geometric approach to Wigner rotation and Thomas precession in the same way that spacetime provides a geometrical approach to kinematic effects in special relativity.

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John A. Rhodes, Mark D. Semon. 2005-01-24. Relativistic velocity space, Wigner rotation and Thomas precession. https://doi.org/10.1119/1.1652040

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