Phys. Rev. A 63, 044104 (2001) [4 pages]

Twin paradox in compact spaces

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John D. Barrow1 and Janna Levin1,2
1DAMTP, Cambridge University, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
2The Blackett Laboratory, Imperial College of Science, Technology and Medicine, South Kensington, London SW7 2BZ, United Kingdom

Received 4 August 2000; published 20 March 2001

Twins traveling at constant relative velocity will each see the other’s time dilate leading to the apparent paradox that each twin believes the other ages more slowly. In a finite space, the twins can both be on inertial, periodic orbits so that they have the opportunity to compare their ages when their paths cross. As we show, they will agree on their respective ages and avoid the paradox. The resolution relies on the selection of a preferred frame singled out by the topology of the space.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v63/e044104
DOI: 10.1103/PhysRevA.63.044104
PACS: 03.30.+p

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