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Thomas-Wigner rotation via Clifford algebras

Mathematical Physics 2025-01-28 v1 math.MP

Abstract

We derive Macfarlane's formula for the Thomas-Wigner angle of rotation using Clifford-algebra methods. The presentation is pedagogical and elementary, suitable for students with some basic knowledge of special relativity; no prior knowledge of Clifford algebras is required.

Keywords

Cite

@article{arxiv.2501.14855,
  title  = {Thomas-Wigner rotation via Clifford algebras},
  author = {Piotr T. Chruściel and Helmuth Urbantke},
  journal= {arXiv preprint arXiv:2501.14855},
  year   = {2025}
}