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Special Relativity in Accelerated Systems

Published online by Cambridge University Press:  14 March 2022

Carlo B. Giannoni
Carlo B. Giannoni*
Affiliation:
Rice University
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Extract

Within Special Relativity accelerated systems can be described as those systems in which standard clock synchronism does not hold. Therefore, the ε-generalized Lorentz equations derived by Winnie are the equations governing accelerated systems. The ε-generalized equation for time is used in analyzing two cases of the clock paradox: (1) the case in which a clock travels in a straight line, stops, and returns, and (2) the case in which a clock travels with uniform velocity in a circular path. The treatment of case (1) of the paradox within this generalization of the Special Theory is compared with Møller's treatment of it within the General Theory.

Type
Research Article
Information
Philosophy of Science , Volume 40 , Issue 3 , September 1973 , pp. 382 - 392
Copyright
Copyright © 1973 by The Philosophy of Science Association

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References

REFERENCES

[1] Einstein, A. “On the Electrodynamics of Moving Bodies.” In A. Einstein, et al., The Principle of Relativity. New York: Dover Publications, Inc., 1924.Google Scholar
[2] Grünbaum, A. “Reply to Hilary Putnam's ‘An Examination of Grünbaum's Philosophy of Geometry’.” in Boston Studies in the Philosophy of Science. Vol. 5. Edited by R. S. Cohen and M. W. Wartofsky. New York: Humanities Press, 1969.Google Scholar
[3] M⊘ller, C. The Theory of Relativity. Oxford: Oxford University Press, 1952.Google Scholar
[4] Winnie, John A. “Special Relativity Without One-Way Velocity Assumptions—Part II.” Philosophy of Science 37 (1970): 223–238.10.1086/288296CrossRefGoogle Scholar