Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework

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dc.creatorBattisti, Marco Valerio
dc.creatorMontani, Giovanni
dc.date2007-07-18
dc.date2007-12-10
dc.date.accessioned2026-07-07T11:17:53Z
dc.date.available2026-07-07T11:17:53Z
dc.descriptionThe implications of a Generalized Uncertainty Principle on the Taub cosmological model are investigated. The model is studied in the ADM reduction of the dynamics and therefore a time variable is ruled out. Such a variable is quantized in a canonical way and the only physical degree of freedom of the system (related to the Universe anisotropy) is quantized by means of a modified Heisenberg algebra. The analysis is performed at both classical and quantum level. In particular, at quantum level, the motion of wave packets is investigated. The two main results obtained are as follows. i) The classical singularity is probabilistically suppressed. The Universe exhibits a stationary behavior and the probability amplitude is peaked in a determinate region. ii) The GUP wave packets provide the right behavior in the establishment of a quasi-isotropic configuration for the Universe.
dc.description10 pages, 4 figures; v2: section added, to appear on PRD
dc.identifierhttps://arxiv.org/abs/0707.2726
dc.identifierhttp://arxiv.org/abs/0707.2726
dc.identifierPhys.Rev.D77:023518,2008
dc.identifierdoi:10.1103/PhysRevD.77.023518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193159
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
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