Quantum geometrodynamics in extended phase space - II. The Bianchi IX model
摘要
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.
引用
@article{arxiv.gr-qc/9810035,
title = {Quantum geometrodynamics in extended phase space - II. The Bianchi IX model},
author = {V. A. Savchenko and T. P. Shestakova and G. M. Vereshkov},
journal= {arXiv preprint arXiv:gr-qc/9810035},
year = {2007}
}
备注
LaTeX, 24 pages, A revised version: the comparison with the BFV approach is given in details. For the first part of the paper, see gr-qc/9809086