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A geometrical proof that causality implies the Lorentz group

  • S. Nanda (a1)

That causality implies the Lorentz group was first proved by Zeeman (1). Later, Barruchi (2) and Teppati(3) proved a generalised version of the theorem by using completely different arguments. In this paper, we give a very simple and elementary geometric proof of the same theorem.

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(1)Zeeman, E. C.J. Math. Phys. 5 (1964), 490.
(2)Barruchi, G.Nuovo Cimento A (10), 55 (1968), 385.
(3)Teppati, G.Nuovo Cimento A (10), 54 (1968), 800.
(4)Alexandroff, A. D.Combinatorial topology, vol. 1 (Rochester, New York, Graylock Press 1956.)
(5)Levy, H.Projective and related geometries (New York, MacMillan, 1964).
(6)Pauli, W.Theory of relativity (New York, Pergamon Press, 1958).
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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