Smooth Quantum Dynamics of Mixmaster Universe
General Relativity and Quantum Cosmology
2015-09-16 v1
Abstract
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.
Cite
@article{arxiv.1501.02174,
title = {Smooth Quantum Dynamics of Mixmaster Universe},
author = {Hervé Bergeron and Ewa Czuchry and Jean Pierre Gazeau and Przemysław Małkiewicz and Włodzimierz Piechocki},
journal= {arXiv preprint arXiv:1501.02174},
year = {2015}
}
Comments
2 figures