The status of Quantum Geometry in the dynamical sector of Loop Quantum Cosmology

dc.creatorKaminski, Wojciech
dc.creatorLewandowski, Jerzy
dc.creatorSzulc, Lukasz
dc.date2007-09-26
dc.date2007-09-29
dc.date.accessioned2026-07-07T10:16:01Z
dc.date.available2026-07-07T10:16:01Z
dc.descriptionThis letter is motivated by the recent papers by Dittrich and Thiemann and, respectively, by Rovelli discussing the status of Quantum Geometry in the dynamical sector of Loop Quantum Gravity. Since the papers consider model examples, we also study the issue in the case of an example, namely on the Loop Quantum Cosmology model of space-isotropic universe. We derive the Rovelli-Thiemann-Ditrich partial observables corresponding to the quantum geometry operators of LQC in both Hilbert spaces: the kinematical one and, respectively, the physical Hilbert space of solutions to the quantum constraints. We find, that Quantum Geometry can be used to characterize the physical solutions, and the operators of quantum geometry preserve many of their kinematical properties.
dc.descriptionLatex, 12 pages
dc.identifierhttps://arxiv.org/abs/0709.4225
dc.identifierhttp://arxiv.org/abs/0709.4225
dc.identifierClass.Quant.Grav.25:055003,2008
dc.identifierdoi:10.1088/0264-9381/25/5/055003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173369
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleThe status of Quantum Geometry in the dynamical sector of Loop Quantum Cosmology
dc.typetext

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