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

TL;DR

This paper investigates the quantum Bianchi I cosmological model within nonstandard loop quantum cosmology, revealing a discrete, bounded volume spectrum and suggesting a possible foamy spacetime structure at semiclassical scales.

Contribution

It introduces a quantization of the volume operator using elementary observables and explores the model's evolution with a true Hamiltonian, linking loop geometry parameters to observational data.

Findings

Volume spectrum is discrete and bounded from below

Spacetime may have a foamy structure at semiclassical level

Model evolution is governed by a true Hamiltonian

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.