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An Algebraic Theorem Related to the Theory of Relativity

Published online by Cambridge University Press:  03 November 2016

M. D. Dampier
M. D. Dampier*
Affiliation:
Department of Mathematics, Leicester University
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Extract

In a common development of the special theory of relativity one considers two events P and Q, P being the emission of a flash of light and Q the reception of the light. We suppose Q to be infinitesimally close to P and, by using the principle of the invariance of c, the velocity of light, argue that the infinitesimal coordinate differences between P and Q must satisfy

Iand

II

where dx; etc. are the coordinate differences in one inertial frame whilst dx' etc. are those in a second inertial frame (e.g. [1], p. 16).

Type
Research Article
Information
The Mathematical Gazette , Volume 56 , Issue 398 , December 1972 , pp. 292 - 295
Copyright
Copyright © Mathematical Association 1972

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References

1. Rindler, W.: Special Relativity. Oliver & Boyd (1960).Google Scholar
2. Pauli, W.: The Theory of Relativity. Pergamon (1958).Google Scholar
3. Moller, C.: The Theory of Relativity. Oxford (1952).Google Scholar
4. Marder, L.: An Introduction to Relativity. Longman (1968).Google Scholar