Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology

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dc.creatorChiou, Dah-Wei
dc.date2007-10-02
dc.date2007-12-17
dc.date.accessioned2026-07-07T11:19:42Z
dc.date.available2026-07-07T11:19:42Z
dc.descriptionThe detailed formulation for loop quantum cosmology (LQC) in the Bianchi I model with a scalar massless field has been constructed. In this paper, its effective dynamics is studied in two improved strategies for implementing the LQC discreteness corrections. Both schemes show that the big bang is replaced by the big bounces, which take place up to three times, once in each diagonal direction, when the area or volume scale factor approaches the critical values in the Planck regime measured by the reference of the scalar field momentum. These two strategies give different evolutions: In one scheme, the effective dynamics is independent of the choice of the finite sized cell prescribed to make Hamiltonian finite; in the other, the effective dynamics reacts to the macroscopic scales introduced by the boundary conditions. Both schemes reveal interesting symmetries of scaling, which are reminiscent of the relational interpretation of quantum mechanics and also suggest that the fundamental spatial scale (area gap) may give rise to a temporal scale.
dc.description19 pages, 6 figures, 1 table; one reference added; version to appear in PRD
dc.identifierhttps://arxiv.org/abs/0710.0416
dc.identifierhttp://arxiv.org/abs/0710.0416
dc.identifierPhys.Rev.D76:124037,2007
dc.identifierdoi:10.1103/PhysRevD.76.124037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193775
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEffective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
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