Twin paradox and space topology

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dc.creatorUzan, Jean-Philippe
dc.creatorLuminet, Jean-Pierre
dc.creatorLehoucq, Roland
dc.creatorPeter, Patrick
dc.date2000-06-16
dc.date.accessioned2026-07-07T10:47:00Z
dc.date.available2026-07-07T10:47:00Z
dc.descriptionIf space is compact, then a traveller twin can leave Earth, travel back home without changing direction and find her sedentary twin older than herself. We show that the asymmetry between their spacetime trajectories lies in a topological invariant of their spatial geodesics, namely the homotopy class. This illustrates how the spacetime symmetry invariance group, although valid {\it locally}, is broken down {\it globally} as soon as some points of space are identified. As a consequence, any non--trivial space topology defines preferred inertial frames along which the proper time is longer than along any other one.
dc.description6 pages, latex, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0006039
dc.identifierhttp://arxiv.org/abs/physics/0006039
dc.identifierEur.J.Phys.23:277,2002
dc.identifierdoi:10.1088/0143-0807/23/3/306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183426
dc.subjectClassical Physics
dc.subjectGeneral Physics
dc.titleTwin paradox and space topology
dc.typetext

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