Twin Paradox without One-Way Velocity Assumptions

Foundations of Physics 28 (2):185-204 (1998)
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Abstract

The twin paradox (i.e. the reasoning made by the traveling twin, reversing the reasoning made by the earthbound twin, by which it is he who should be older) can be resolved by taking into account the relativity of simultaneity. However, simultaneity depends on a convention about the one-way velocity of light provided that the Reichenbach-Grünbaum hypothesis, is time. So far the resolution has been presented only for the Einstein convention. We show that for all possible choices of the relevant synchronization parameters the calculations performed by both twins yield the same final results when carefully taking into account the relativity of simultaneity according to the conventions they have chosen. Since the final results do not depend on any of the synchronization parameters, the Reichenbach-Grünbaum hypothesis is thereby supported

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Conventionality in Distant Simulataneity.Brian Ellis & Peter Bowman - 1967 - Philosophy of Science 34 (2):116-136.

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