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

Przemysław Małkiewicz (1) , Włodzimierz Piechocki (1) , Piotr Dzierżak (1)

1 Theoretical Physics Department

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.

Mots clés: 98.80.Qc; 04.60.Pp; 04.20.Jb

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Przemysław Małkiewicz, Włodzimierz Piechocki, Piotr Dzierżak. The Bianchi I model in terms of nonstandard loop quantum cosmology: quantum dynamics. Classical and Quantum Gravity, 2011, 28 (8), pp.85020. ⟨10.1088/0264-9381/28/8/085020⟩. ⟨hal-00690076⟩