Artículo

El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The concept of time and its relation with probability in quantum gravity is studied. It is argued that the notion of probability is better defined when the topology is fixed. A probabilistic time is then introduced. It coincides with the proper time, in the classical limit, and yields a parabolic field equation, i.e., the Schrödinger equation. © 1989 The American Physical Society.

Registro:

Documento: Artículo
Título:Probabilistic time in quantum gravity
Autor:Castagnino, M.
Filiación:Instituto de Física de Rosario, Av. Pellegrini 250, 2000 Rosario, Argentina
Instituto de Astronomía y Física Del Espacio, Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina
Año:1989
Volumen:39
Número:8
Página de inicio:2216
Página de fin:2228
DOI: http://dx.doi.org/10.1103/PhysRevD.39.2216
Título revista:Physical Review D
ISSN:05562821
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v39_n8_p2216_Castagnino

Referencias:

  • Vilenkin, A., (1989) Phys. Rev. D, 39, p. 1116
  • Kuchar, K., (1982) Quantum Gravity 2, A Second Oxford Symposium, 1981, p. 329. , edited by, C. J. Isham, Oxford University Press, Oxford
  • Hawking, S., (1979) General Relativity, p. 746. , edited by, S. Hawking, W. Israel, Cambridge University Press, Cambridge, England
  • Hartle, J., Hawking, S., (1983) Phys. Rev. D, 28, p. 2960
  • Hartle, J., (1985), Yale University; J. Hartle, in Gravitation and Astrophysics (Cargese, 1986), proceedings of the NATO Advanced Study Institute, Cargese, France, 1986, edited by B. Carter and J. B. Hartle (NATO ASI Series B, Vol. 156) (Plenum, New York, 1987); B. DeWitt, in Quantum Gravity, proceedings of the Third Seminar, Moscow, 1984, edited by M. A. Markov, V. A. Berezin, and V. P. Frolov (World Scientific, Singapore, 1985), p. 103; Anderson, A., DeWitt, B., (1986) Found. Phys., 16, p. 91
  • Castagnino, M., (1971) J. Math. Phys., 12, p. 2203
  • Ehlers, J., (1973) Relativity, Astrophysics and Cosmology, p. 1. , edited by, W. Israel, Reidel, Dordrecht
  • Castagnino, M., Harari, D., (1982) Rev. Union Mat. Argent., 30, p. 147
  • As in the case of gauge theories, or the possibility of wormholes connecting different zones of the Universe; Halliwell, J.J., Hawking, S.W., (1985) Phys. Rev. D, 31, p. 1777
  • D'Eath, P.D., Halliwell, J.J., Cambridge University report, 1986 (unpublished); Hartle, J., (1988) Phys. Rev. D, 37, p. 2818
  • Castagnino, M., Proceedings of the Friedmann Commemoration Conference, Leningrad, 1988
  • Thurston, W.P., (1988) Ann. Math., 124, p. 203
  • Monogue, C.A., Copeland, E., Dray, T., report, 1988 (unpublished); Hawking, S.W., (1985) Phys. Rev. D, 32, p. 2489
  • Kazama, Y., Nakayama, R., (1985) Phys. Rev. D, 32, p. 2500
  • DeWitt, B.S., (1967) Phys. Rev., 160, p. 1113
  • (1986) S. W. Hawking and D. N. Page, Nucl. Phys., 264 B, p. 185. , This result essentially follows also from the fact that in the semiclassical limit the probability of finding the configuration within a region of superspace is proportional to the classical time that the classical solution spends in that region
  • From Eq. (5.11) these equations yield < ψ , ψ > =1, i.e., the original normalization (3.6); Vilenkin, A., (1988) Phys. Rev. D, 37, p. 888. , The oscillating factor could be different if we use, e.g., the Vilenkin tunneling boundary condition, but the prefactor is the same [cf., ]. In both cases the oscillating factor is averaged. This fact shows that, even if in the case of the Hartle-Hawking boundary condition, we are not in the case of Eq. (5.1) (because we have a sum of two terms) the conclusion about probabilistic time, in the classical limit, remains valid
  • Castagnino, M., Proceedings of the Fourth Seminar on Quantum Gravity, Moscow, 1987, , (World Scientific, Singapore, to be published)
  • Castagnino, M., (1988) Proceedings of SILARG VI, Rio de Janeiro, 1987, , World Scientific, Singapore

Citas:

---------- APA ----------
(1989) . Probabilistic time in quantum gravity. Physical Review D, 39(8), 2216-2228.
http://dx.doi.org/10.1103/PhysRevD.39.2216
---------- CHICAGO ----------
Castagnino, M. "Probabilistic time in quantum gravity" . Physical Review D 39, no. 8 (1989) : 2216-2228.
http://dx.doi.org/10.1103/PhysRevD.39.2216
---------- MLA ----------
Castagnino, M. "Probabilistic time in quantum gravity" . Physical Review D, vol. 39, no. 8, 1989, pp. 2216-2228.
http://dx.doi.org/10.1103/PhysRevD.39.2216
---------- VANCOUVER ----------
Castagnino, M. Probabilistic time in quantum gravity. 1989;39(8):2216-2228.
http://dx.doi.org/10.1103/PhysRevD.39.2216