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Quantum geometrodynamics of the Bianchi IX model in extended phase space

V. A. Savchenko·T. P. Shestakova·G. M. Vereshkov
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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.

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V. A. Savchenko, T. P. Shestakova, G. M. Vereshkov. 1999-09-15. Quantum geometrodynamics of the Bianchi IX model in extended phase space. https://doi.org/10.1142/s0217751x99002098

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