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Loop quantum cosmology of the Bianchi I model: complete quantization

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Martin Benito, M. and Garay Elizondo, Luis Javier and Mena Marugán, Guillermo A. and Wilson-Ewing, E. (2012) Loop quantum cosmology of the Bianchi I model: complete quantization. Journal of physics: Conference series, 360 . ISSN 1742-6588

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Official URL: http://dx.doi.org/10.1088/1742-6596/360/1/012031


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Abstract

We complete the canonical quantization of the vacuum Bianchi I model within the improved dynamics scheme of loop quantum cosmology, characterizing the Hilbert structure of the physical states and providing a complete set of observables acting on them. In order to achieve this task, it has been essential to determine the structure of the separable superselection sectors that arise owing to the polymeric quantization, and to prove that the initial value problem obtained when regarding the Hamiltonian constraint as an evolution equation, interpreting the volume as the evolution parameter, is well-posed.


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© IOP Publishing Ltd.
International Conference on Non-Perturbative/Background Independent Quantum Gravity (LOOPS) (2011.Madrid).
This work was in part supported by the Spanish MICINN Projects No. FIS2008-06078-C03-03, No. FIS2011-30145-C03-02, and the Consolider-Ingenio Program CPAN No. CSD2007-00042.

Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:29688
Deposited On:21 Apr 2015 09:31
Last Modified:10 Dec 2018 15:09

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