Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics
General Relativity and Quantum Cosmology
2011-04-04 v3 High Energy Astrophysical Phenomena
High Energy Physics - Theory
Quantum Physics
Abstract
We analyze the quantum Bianchi I model in the setting of the nonstandard loop quantum cosmology. Elementary observables are used to quantize the volume operator. The spectrum of the volume operator is bounded from below and discrete. The discreteness may imply a foamy structure of spacetime at semiclassical level. The results are described in terms of a free parameter specifying loop geometry to be determined in astro-cosmo observations. An evolution of the quantum model is generated by the so-called true Hamiltonian, which enables an introduction of a time parameter valued in the set of all real numbers.
Cite
@article{arxiv.1010.2930,
title = {Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics},
author = {Przemyslaw Malkiewicz and Wlodzimierz Piechocki and Piotr Dzierzak},
journal= {arXiv preprint arXiv:1010.2930},
year = {2011}
}
Comments
18 pages, version accepted for publication by Class. Quant. Grav