Relativistic velocity space, Wigner rotation and Thomas precession

Details Relativistic velocity space, Wigner rotation and Thomas precession Relativistic velocity space, Wigner rotation and Thomas precession

2005-01-24

arxiv.org/abs/gr-qc/0501070v1

Am.J.Phys. 72 (2004) 943

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

see journal article for more information

Scientific paper

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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