Relativistic velocity space, Wigner rotation, and Thomas precession
Abstract
We develop a relativistic velocity space called rapidity space from the single assumption of Lorentz invariance, and use it to visualize and calculate effects resulting from the successive application of noncollinear 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.
 Publication:

American Journal of Physics
 Pub Date:
 July 2004
 DOI:
 10.1119/1.1652040
 arXiv:
 arXiv:grqc/0501070
 Bibcode:
 2004AmJPh..72..943R
 Keywords:

 01.50.i;
 03.30.+p;
 02.40.k;
 Educational aids;
 Special relativity;
 Geometry differential geometry and topology;
 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Physics  Classical Physics
 EPrint:
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