English

VSR is incompatible with Thomas precession

High Energy Physics - Phenomenology 2011-01-20 v2 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology

Abstract

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 10310^3. VSR theories are therefore ruled out by observations.

Cite

@article{arxiv.0902.4549,
  title  = {VSR is incompatible with Thomas precession},
  author = {Suratna Das and Subhendra Mohanty},
  journal= {arXiv preprint arXiv:0902.4549},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T12:15:49.542Z