Quantum geometrodynamics in extended phase space - II. The Bianchi IX model

Details Quantum geometrodynamics in extended phase space - II. The Bianchi IX model Quantum geometrodynamics in extended phase space - II. The Bianchi IX model

1998-10-09

arxiv.org/abs/gr-qc/9810035v2

Grav.Cosmol. 7 (2001) 102-116

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 24 pages, A revised version: the comparison with the BFV approach is given in details. For the first part of the paper,

Scientific paper

The mathematically correct approach to constructing quantum geometrodynamics of a closed universe formulated in Part I is realized on the cosmological Bianchi-IX model with scalar fields. The physical adequacy of the obtained gauge-noninvariant theory to existing concepts about possible cosmological scenarios is shown. It is demonstrated that the Wheeler-DeWitt quantum geometrodynamics based on general quantum theoretical principles with probability interpretation of a closed universe wave function does not exist. The problem of the creation of the Universe is considered as a computational problem of a quantum reduction of the singular state "Nothing" to one of possible initial physical quantum states.

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