Time machines: the principle of self-consistency as a consequence of the principle of minimal action

We consider the action principle to derive the classical, non-relativistic motion of a self-interacting particle in a 4-D Lorentzian spacetime containing a wormhole and which allows the existence of closed time-like curves. For the case of a `hard-sphere' self-interaction potential we show that...

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Detalles Bibliográficos
Autores principales: Carlini, A., Frolov, Valeri P., Mensky, M.B., Novikov, I.D., Soleng, H.H.
Lenguaje:eng
Publicado: 1995
Materias:
General Relativity and Cosmology
Acceso en línea:https://dx.doi.org/10.1142/S0218271896000588
https://dx.doi.org/10.1142/S0218271895000399
http://cds.cern.ch/record/284146
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author Carlini, A.
Frolov, Valeri P.
Mensky, M.B.
Novikov, I.D.
Soleng, H.H.
author_facet Carlini, A.
Frolov, Valeri P.
Mensky, M.B.
Novikov, I.D.
Soleng, H.H.
author_sort Carlini, A.
collection CERN
description We consider the action principle to derive the classical, non-relativistic motion of a self-interacting particle in a 4-D Lorentzian spacetime containing a wormhole and which allows the existence of closed time-like curves. For the case of a `hard-sphere' self-interaction potential we show that the only possible trajectories (for a particle with fixed initial and final positions and which traverses the wormhole once) minimizing the classical action are those which are globally self-consistent, and that the `Principle of self-consistency' (originally introduced by Novikov) is thus a natural consequence of the `Principle of minimal action.'
id cern-284146
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
record_format invenio
spelling cern-2841462023-03-14T20:43:42Zdoi:10.1142/S0218271896000588doi:10.1142/S0218271895000399http://cds.cern.ch/record/284146engCarlini, A.Frolov, Valeri P.Mensky, M.B.Novikov, I.D.Soleng, H.H.Time machines: the principle of self-consistency as a consequence of the principle of minimal actionGeneral Relativity and CosmologyWe consider the action principle to derive the classical, non-relativistic motion of a self-interacting particle in a 4-D Lorentzian spacetime containing a wormhole and which allows the existence of closed time-like curves. For the case of a `hard-sphere' self-interaction potential we show that the only possible trajectories (for a particle with fixed initial and final positions and which traverses the wormhole once) minimizing the classical action are those which are globally self-consistent, and that the `Principle of self-consistency' (originally introduced by Novikov) is thus a natural consequence of the `Principle of minimal action.'We consider the action principle to derive the classical, non-relativistic motion of a self-interacting particle in a 4-D Lorentzian spacetime containing a wormhole and which allows the existence of closed time-like curves. For the case of a `hard-sphere' self-interaction potential we show that the only possible trajectories (for a particle with fixed initial and final positions and which traverses the wormhole once) minimizing the classical action are those which are globally self-consistent, and that the `Principle of self-consistency' (originally introduced by Novikov) is thus a natural consequence of the `Principle of minimal action.'gr-qc/9506087NORDITA-95-49-ACERN-TH-95-22CERN-TH-95-22NORDITA-95-49-Aoai:cds.cern.ch:2841461995-07-01
spellingShingle General Relativity and Cosmology
Carlini, A.
Frolov, Valeri P.
Mensky, M.B.
Novikov, I.D.
Soleng, H.H.
Time machines: the principle of self-consistency as a consequence of the principle of minimal action
title Time machines: the principle of self-consistency as a consequence of the principle of minimal action
title_full Time machines: the principle of self-consistency as a consequence of the principle of minimal action
title_fullStr Time machines: the principle of self-consistency as a consequence of the principle of minimal action
title_full_unstemmed Time machines: the principle of self-consistency as a consequence of the principle of minimal action
title_short Time machines: the principle of self-consistency as a consequence of the principle of minimal action
title_sort time machines: the principle of self-consistency as a consequence of the principle of minimal action
topic General Relativity and Cosmology
url https://dx.doi.org/10.1142/S0218271896000588
https://dx.doi.org/10.1142/S0218271895000399
http://cds.cern.ch/record/284146
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AT menskymb timemachinestheprincipleofselfconsistencyasaconsequenceoftheprincipleofminimalaction
AT novikovid timemachinestheprincipleofselfconsistencyasaconsequenceoftheprincipleofminimalaction
AT solenghh timemachinestheprincipleofselfconsistencyasaconsequenceoftheprincipleofminimalaction

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