Abstract
The notion of “Probabilistic Time” is studied as a way to obtain Quantum Field Theory in curved space-time from Quantum Gravity. It is shown how ideal and real clocks measure the probabilistic time and how the universe can be used a a real clock. The problem of the arrow of time is studied because it is related with the definition of probabilistic time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
— Hartle J.B., “Predictions in Quantum Gravity”. NATO Advanced Summer Institute, Cargése (1986).
— Wada S., Nucl. Phys. B 276, 729 (1986).
— Banks T., Nucl Phys. B 249, 332 (1985).
— Hawking S. W., page D. N., Nucl Phys B 264, 185 (1986).
— Castagnino M., “The appearence of time in Quantum Gravity”, IV Quantum Gravity Seminar, Moscow 1987, Ed. M.A. Markov et al. World Scientific, Singapore (1988).
— Castagnino M., “Time and probability in Quantum Gravity”, SILARG VI, Rio de Janeiro, 1987, Ed. M. Novello. World Scientific, Singapore (1988).
— Castagnino M., “Probabilistic time in Quantum Gravity”, Phys. Rev. D, in press (1988).
— Castagnino M., D’Negri C, “On the interpretation of Quantum Gravity”, A. Friedmann Coomemoration Conference, Leningrad, 1988. To be published by World Scientific, Singapore.
— Castagino M., Mazzitelli F.D., “Probabilistic time and the interpretation of Quantum Gravity”. Jour. of Theo. Phys. In press (1989).
— Halliwell J.J., Hawking S.W., Phys. Rev. D bld31, 1777 (1985).
— D’Eath P.D., Halliwell J.J., Cambridge University report (1986), unpublished.
— Unruh W. G., “Time and Quantum Gravity”, IV Quantum Gravity Seminar, Moscow 1987. Ed. M.A. Markov et al. World Scientific, Singapore (1988).
— Kandrup H.E., Class. and Quant. Grav., 5, 903 (1988).
— Vilenkin A., “The interpretation of the wave function of the universe”, Tuft University, preprint (1988).
— Hawking S. W., Phys. Rev. D. 32, 2489 (1985).
— Ashtekar A., Magnon A., Proc. Roy. Soc. (Lond.) A 346, 375 (1975) and C. R. Acad. Sci. (Paris) 281, 875 (1975) and 286, 531 (1978).
— Kay B., Comm. Math. Phys., 62, 55 (1978).
— Hajicek P., Phys Rev. D, 34, 1040 (1981).
— Prigogine I., George C, Henin F., Rosenfeld L., Chemica Scripta, 4, 5, 32 (1973).
— Hawking S. W., “The direction of time”, Univ. of Cambridge, preprint (1988).
— Vilenkin A., Phys. Rev. D, 37, 888 (1988).
— Cohen-Tannoudji C. et al., “Quantum Mechanics”, John Wiley and sons. New York (1977).
— After finishing this paper I learnt about the work: Unruh W., Wald R. M., “Time and the Interpretation of Canonical Quantum Gravity” (Institute of Theo. Phys., Univ. of California, preprint NSF-ITP-88-190, Pys. Rev. D 40, 2598 (1989)) which is essential to understand eq. (2.10).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York
About this chapter
Cite this chapter
Castagnino, M.A. (1990). The probabilistic time and the semiclassical approximation of quantum gravity. In: Audretsch, J., de Sabbata, V. (eds) Quantum Mechanics in Curved Space-Time. NATO ASI Series, vol 230. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3814-1_11
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3814-1_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6701-7
Online ISBN: 978-1-4615-3814-1
eBook Packages: Springer Book Archive