The Internal Time Formalism in Canonical Gravity
The internal time formalism provides a relatively conservative approach to canonical quantum gravity in that one attempts to retain in the Dirac quantization of the theory both general covariance and the conventional apparatus of quantum field theory. The idea is to extract dynamical variables representing many-fingered time from the phase space of general relativity and then use them as one uses such variables in the quantization of parametrized field theories. I give a general, albeit brief, presentation of this strategy and illustrate it with a few examples.
KeywordsCauchy Surface Cauchy Data True Degree Closed Universe Inertial Observer
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- 2.K. V. Kuchař, in General Relativity and Relativistic Astrophysics, Proceedings of The Fourth Canadian Conference on General Relativity and Relativistic Astrophysics, Winnipeg, Canada, 1991, edited by G. Kunstatter, D. Vincent, and J. Williams (World Scientific, Singapore, 1992).Google Scholar
- 3.K. V. Kuchař, in Conceptual Problems of Quantum Gravity, edited by À. Ashtekar and J. Stachel (Birkhauser, Boston, 1991).Google Scholar
- 5.P. Dirac. Lectures on Quantum Mechanics, (Yeshiva University, New York. 1964).Google Scholar
- 7.R. Arnowitt, S. Deser, and C. Misner in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962).Google Scholar
- 9.K. V. Kuchař in Highlights in Gravitation and Cosmology, eds B. Iyer et al, (Cambridge University Press, Cambridge, 1988).Google Scholar
- 18.K. V. Kuchař and C. G. Torre, in Conceptual Problems of Quantum Gravity. edited by A. Ashtekar and J. Stachel (Birkhauser, Boston. 1991).Google Scholar
- 22.M. Varadarajan and C. G. Torre, in preparation.Google Scholar
- 23.D. Korotkin and H. Nicolai, preprint hep-th/9605144, (1996).Google Scholar
- 25.Joseph Romano, private communication.Google Scholar