Hostname: page-component-7c8c6479df-ph5wq Total loading time: 0 Render date: 2024-03-29T08:14:17.182Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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