The twin paradox in compact spaces

Details The twin paradox in compact spaces The twin paradox in compact spaces

2001-01-02

arxiv.org/abs/gr-qc/0101014v1

Phys.Rev. A63 (2001) 044104

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to be published in PRA, 3 pages

Scientific paper

10.1103/PhysRevA.63.044104

Twins travelling 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.

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