Martín Benito, MercedesGaray Elizondo, Luis JavierMena Marugán, Guillermo A.Wilson-Ewing, E.2023-06-202023-06-2020121742-658810.1088/1742-6596/360/1/012031https://hdl.handle.net/20.500.14352/44516© 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.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.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttp://dx.doi.org/10.1088/1742-6596/360/1/012031http://iopscience.iop.orgopen access51-73Física-Modelos matemáticosFísica matemática