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The Electromagnetic Equations as Basis of Einstein's Quadratic Form

Published online by Cambridge University Press:  24 October 2008

R. Hargreaves
R. Hargreaves
Affiliation:
St John's College.
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Extract

§ 1. The groundwork of the present paper is a general transformation of Maxwell's equations. As relativist speculation had its origin in a simple transformation, it was to be expected that something more would result when the general transformation was explored: the determining influence has proved stronger than I had anticipated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 22 , Issue 2 , May 1924 , pp. 138 - 162
Copyright
Copyright © Cambridge Philosophical Society 1924

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References

* Cambridge Phil. Trans., “Integral forms and their connexion with Physical Equations,” vol. xxi. 1908.Google Scholar

* Newton'sches Gesetz und Metrik, Maxwell'sche Gleichungen und Metrik, Vienna, 1922.Google Scholar

* Parabolic motion is always reducible to uniform linear motion. Thus if x = ut, z = wt the transformation makes , or and also

* It may be of use to give the Christoffel symbols for this case. They are