English

Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas--Wigner rotation

General Physics 2022-10-20 v1

Abstract

It is demonstrated that the 3--vector \bsS\bs{S} currently associated to the spin in an inertial frame does not contract, but rather dilates, in the direction of the velocity. The correct vector \bsT\bs{T} is individuated. The equation of motion for the two vectors is shown to contain two terms, a common linear rotation, identified with Thomas precession, and also a nonlinear rotation depending on the direction of the spin itself.

Keywords

Cite

@article{arxiv.2210.10635,
  title  = {Nonlinear effects in Thomas precession due to the interplay of Lorentz contraction and Thomas--Wigner rotation},
  author = {Antonio Di Lorenzo},
  journal= {arXiv preprint arXiv:2210.10635},
  year   = {2022}
}

Comments

42 pages, 10 figures