Quantum Dynamics of Mixmaster Universe

Mixmaster universe is an anisotropic cosmological model comprising the Friedmann model a special case. Towards the big-bang singularity the isotropy of space is dynamically unstable, thus the quantization of the isotropic models  alone appears to be insufficient to describe the earliest Universe. In my talk I will present the quantum version  of the Mixmaster universe obtained  by implementing affine coherent state quantization  combined with a Born-Oppenheimer-like adiabatic approximation, widely utilized in quantum molecular physics. The resolution of the classical singularity occurs by means of a repulsive potential generated by the quantization procedure.  The quantized anisotropic degrees of freedom behave as radiation energy density. The Friedmann-like lowest energy eigenstates of the system seem, in opposite of classical case, to be dynamically stable against small anisotropy perturbations.

All interested persons are invited
M. Kowal, W. Piechocki, L. Roszkowski, J. Skalski