VSR is incompatible with Thomas precession

Details VSR is incompatible with Thomas precession VSR is incompatible with Thomas precession

2009-02-26

arxiv.org/abs/0902.4549v2

Mod. Phys. Lett. A26:139-150,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, LaTeX file, no figures, v2: Journal Version, Accepted for publication in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732311034037

Glashow and Cohen make the interesting observation that certain proper subgroups of the Lorentz group like HOM(2) or SIM(2) can explain many results of special relativity like time dilation, relativistic velocity addition and a maximal isotropic speed of light. We show here that such SIM(2) and HOM(2) based VSR theories predict an incorrect value for the Thomas precession and are therefore ruled out by observations. In VSR theories the spin-orbital coupling in atoms turn out to be too large by a factor of 2. The Thomas-BMT equation derived from VSR predicts a precession of electrons and muons in storage rings which is too large by a factor of $10^3$. VSR theories are therefore ruled out by observations.

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