Quantum geometrodynamics of the Bianchi IX model in extended phase space
Abstract
A way of constructing mathematically correct quantum geometrodynamics of a closed universe is presented. The resulting theory appears to be gauge-noninvariant and thus consistent with the observation conditions of a closed universe, by that being considerably distinguished from the conventional Wheeler - DeWitt one. For the Bianchi-IX cosmological model it is shown that a normalizable wave function of the Universe depends on time, allows the standard probability interpretation and satisfies a gauge-noninvariant dynamical Schrodinger equation. The Wheeler - DeWitt quantum geometrodynamics is represented by a singular, BRST-invariant solution to the Schrodinger equation having no property of normalizability.
Keywords
Cite
@article{arxiv.gr-qc/9909047,
title = {Quantum geometrodynamics of the Bianchi IX model in extended phase space},
author = {V. A. Savchenko and T. P. Shestakova and G. M. Vereshkov},
journal= {arXiv preprint arXiv:gr-qc/9909047},
year = {2009}
}
Comments
LaTeX, 18 pages, to be published in Int. J. Mod. Phys. A