Loop quantum cosmology of the Bianchi I model: complete quantization

Details Loop quantum cosmology of the Bianchi I model: complete quantization Loop quantum cosmology of the Bianchi I model: complete quantization

2011-10-10

arxiv.org/abs/1110.1941v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Proceedings of Loops'11, Madrid, to appear in Journal of Physics: Conference Series (JPCS)

Scientific paper

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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