Initial conditions and unitarity in unimodular quantum cosmology

dc.creatorDaughton, Alan
dc.creatorLouko, Jorma
dc.creatorSorkin, Rafael D.
dc.date1993-05-18
dc.date.accessioned2026-07-07T03:30:05Z
dc.date.available2026-07-07T03:30:05Z
dc.descriptionWe 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.)
dc.description5 pages, Plain TeX, SU-GP-93/5-3
dc.identifierhttps://arxiv.org/abs/gr-qc/9305016
dc.identifierhttp://arxiv.org/abs/gr-qc/9305016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35423
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleInitial conditions and unitarity in unimodular quantum cosmology
dc.typetext

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