Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics

Details Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics

2010-10-14

arxiv.org/abs/1010.2930v3

Class.Quant.Grav.28:085020,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, version accepted for publication by Class. Quant. Grav

Scientific paper

10.1088/0264-9381/28/8/085020

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.

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