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Conference Paper

Loop quantum cosmology of the Bianchi I model: complete quantization

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons4949

Martin-Benito,  M.
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1110.1941
(Preprint), 99KB

JoPCS_360_1_012031.pdf
(Any fulltext), 496KB

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Citation

Martin-Benito, M., Garay, L. J., Marugán, G. A. M., & Wilson-Ewing, E. (2012). Loop quantum cosmology of the Bianchi I model: complete quantization. Journal of Physics: Conference Series, 360: 012031.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-51A7-3
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.