The twin paradox revisited

Dray, Tevian

doi:doi:10.1119/1.16373

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American Journal of Physics -- September 1990 -- Volume 58, Issue 9, pp. 822

The twin paradox revisited

Tevian Dray

Department of Mathematics, Oregon State University, Corvallis, Oregon 97331

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Abstract

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The twin paradox of special relativity results from failing to recognize the fundamental asymmetry between the two twins: One and only one twin changes direction and thus undergoes acceleration. What happens if the universe is closed, so that the twin in the rocket can return to Earth without changing direction? The twin paradox is reformulated in a closed universe (a cylinder) and then resolved by showing that there is still a (much more subtle!) asymmetry between the two twins.