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.
Keywords
Cite
@article{arxiv.1210.5621,
title = {Towards solving generic cosmological singularity problem},
author = {Wlodzimierz Piechocki},
journal= {arXiv preprint arXiv:1210.5621},
year = {2015}
}
Comments
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 Series