TIME MACHINES: THE PRINCIPLE OF SELF-CONSISTENCY AS A CONSEQUENCE OF THE PRINCIPLE OF MINIMAL ACTION
- CARLINI, A. NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
- FROLOV, V.P. T6G 2J1; P.N. Lebedev Physical Institute, Leninsky Prospect 53, Moscow, Russia
- MENSKY, M.B. TAC, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
- NOVIKOV, I.D. Astro Space Center of the P.N. Lebedev Physical Institute, Profsoyuznaja 84/32, Moscow, 117810, Russia
- SOLENG, H.H. Theory Division, CERN, CH-1211 Geneva 23, Switzerland
- 2012-1-25
Published in:
- International Journal of Modern Physics D. - World Scientific Pub Co Pte Lt. - 1995, vol. 04, no. 05, p. 557-580
English
We consider the action principle to derive the classical, nonrelativistic motion of a self-interacting particle in a 4D 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.”
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0218271895000399
- ISSN 0218-2718
- Persistent URL
- https://sonar.ch/global/documents/32664
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