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A geometrical proof that causality implies the Lorentz group

Published online by Cambridge University Press:  24 October 2008

S. Nanda
Affiliation:
Engineering College, Rourkela 769008, India

Extract

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.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)Zeeman, E. C.J. Math. Phys. 5 (1964), 490.Google Scholar
(2)Barruchi, G.Nuovo Cimento A (10), 55 (1968), 385.CrossRefGoogle Scholar
(3)Teppati, G.Nuovo Cimento A (10), 54 (1968), 800.CrossRefGoogle Scholar
(4)Alexandroff, A. D.Combinatorial topology, vol. 1 (Rochester, New York, Graylock Press 1956.)Google Scholar
(5)Levy, H.Projective and related geometries (New York, MacMillan, 1964).Google Scholar
(6)Pauli, W.Theory of relativity (New York, Pergamon Press, 1958).Google Scholar