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Conference Paper

Loop quantum cosmology of the Bianchi I model: complete quantization


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

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