The Wheeler - DeWitt Quantum Geometrodynamics: its fundamental problems and tendencies of their resolution

Details The Wheeler - DeWitt Quantum Geometrodynamics: its fundamental problems and tendencies of their resolution The Wheeler - DeWitt Quantum Geometrodynamics: its fundamental problems and tendencies of their resolution

2008-01-31

arxiv.org/abs/0801.4854v1

Proceedings of Russian summer school-seminar on Gravitation and Cosmology "GRACOS-2007", Kazan (2007) P. 179 - 183

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures

Scientific paper

The paper is devoted to fundamental problems of the Wheeler - DeWitt quantum geometrodynamics, which was the first attempt to apply quantum principles to the Universe as a whole. Our purpose is to find out the origin of these problems and follow up their consequences. We start from Dirac generalized Hamiltonian dynamics as a cornerstone on which the Wheeler - DeWitt theory is based. We remind the main statements of the famous DeWitt's paper of 1967 and discuss the flaws of the theory: the well-known problem of time, the problem of Hilbert space and others. In the concluding part of the paper we consider new tendencies and approaches to quantum geometrodynamics appeared in the last decade.

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