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Smooth Quantum Dynamics of Mixmaster Universe

We present a quantum version of the vacuum Bianchi IX model by implementing affine coherent state quantization combined with a Born-Oppenheimer-like adiabatic approximation. The analytical treatment is carried out on both quantum and semiclassical levels. The resolution of the classical singularity occurs by means of a repulsive potential generated by our quantization procedure. The quantization of the oscillatory degrees of freedom produces a radiation energy density term in the semiclassical constraint equation. The Friedmann-like lowest energy eigenstates of the system are found to be dynamically stable.

preprint2015arXivOpen access
Hervé BergeronEwa CzuchryJean Pierre GazeauPrzemysław MałkiewiczWłodzimierz Piechocki
gr-qc
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Hervé BergeronEwa CzuchryJean Pierre GazeauPrzemysław MałkiewiczWłodzimierz Piechocki

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