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The Clock Paradox in the Special Theory of Relativity

Published online by Cambridge University Press:  14 March 2022

Boris Leaf
Boris Leaf*
Affiliation:
Kansas State College Manhattan, Kansas
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Extract

Publication in this journal recently of a paper by A. Grünbaum has induced me to submit a treatment of the same subject. Like Grünbaum, I shall use the framework of special relativity, but my analysis will be different. Some of his arguments, I believe, are inadmissable. I shall pose the problem in a form different from his, but the solution to be described will be applicable to his case as well.

Type
Research Article
Information
Philosophy of Science , Volume 22 , Issue 1 , January 1955 , pp. 45 - 52
Copyright
Copyright © Philosophy of Science Association 1955

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References

1 A. Grünbaum, Philosophy of Science, 1954,2/, 249.

2 It is immaterial whether particle α itself returns from B to A or whether a different particle at rest in S 20 leaves B for A at the moment when α arrives at B. Only the time intervals recorded for the two stages, A to B and B to A, are important. “Particles” α and β may be mathematical points.

3 One of Grünbaum's observers, the one at 0 in K, it is claimed, judges that U 3 approaches A at a velocity of V − v. (Op. cit., page 252.) Such a velocity addition is not in accord with the Einstein formula. Since the judgment of this observer is a vital link in Grünbaum's argument, I am unable to accept his treatment as valid.

4 B. Leaf, The Physical Review, 1953, 90, 1090.