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The Quadratic form for Radial Acceleration, in the Theory of Relativity

Published online by Cambridge University Press:  24 October 2008

R. Hargreaves
Affiliation:
St John's College

Extract

§ 1. In the transformation corresponding to constant acceleration, and in the resulting quadratic form, there is an arbitrary constant. In Einstein's formula for central acceleration a mass m defining the acceleration appears, but no arbitrary constant. In seeking to account for, or to repair, the deficiency I retained all constants naturally arising in the integration of the differential equations, and it then appeared that the result could be obtained by transformation. It will be convenient to state the transformation at the outset, and then to examine the differential equations with a view to a clear understanding of the assumptions made in reaching the more general result.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1924

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References

* Proceedings Camb. Phil. Soc., Vol. 22, p. 138Google Scholar, “The Electromagnetic Equations as Basis of Einstein's Quadratic form.”