Initial conditions and unitarity in unimodular quantum cosmology

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We consider quantization of the positive curvature Friedmann cosmology in the unimodular modification of Einstein's theory, in which the spacetime four-volume appears as an explicit time variable. The Hamiltonian admits self-adjoint extensions that give unitary evolution in the Hilbert space associated with the Schrödinger equation. The semiclassical estimate to the no-boundary wave function of Hartle and Hawking is found. If this estimate is accurate, there is a continuous flux of probability into the configuration space from vanishing three-volume, and the no-boundary wave function evolves nonunitarily. Generalizations of these results hold in a class of anisotropic cosmologies. (Talk given at the 5th Canadian Conference on General Relativity and Relativistic Astrophysics, Waterloo, Ontario, Canada, May 1993.)
5 pages, Plain TeX, SU-GP-93/5-3

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General Relativity and Quantum Cosmology, High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/35423

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9305016
 http://arxiv.org/abs/gr-qc/9305016

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arXiv