Towards solving generic cosmological singularity problem

Abstract

The big bounce transition of the quantum FRW model in the setting of loop quantum cosmology is presented. We determine the physical self-adjoint Hamiltonian generating the dynamics. It is used to define, via the Stone theorem, an evolution operator. We examine properties of expectation values of physical observables in the process of the quantum big bounce transition. The dispersion of observables are studied in the context of the Heisenberg uncertainty principle. We suggest that the real nature of the bounce may become known only after we quantize the Belinskii-Khalatnikov-Lifshitz scenario, which concerns the generic cosmological singularity.Comment: 4 pages, no figures; talk presented at the Multiverse and Fundamental Cosmology Conference, 10-14 September, 2012, Szczecin, Poland; to be published in the AIP Conference Proceedings Serie

Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture

“…Due to the kinematical origin of Eqs. ( 14) or (15), our knowledge of operator B (BBP ) (t) at all times must really be perceived as an independent source of input information about the dynamics.…”

“…One of my personal most influential discussions of the quantum Big Bang problem took place after a seminar in Paris [15] (cf. also its published version [16]) which was delivered by Wlodzimierz Piechocki from Warsaw.…”