arXiv subjects

Tomasz Pawłowski

Publications and source records attributed to Tomasz Pawłowski.

21 records · Page 2Linked to original sources

arXiv2014

Observations on interfacing loop quantum gravity with cosmology

A simple idea of relating the LQG and LQC degrees of freedom is discussed in context of toroidal Bianchi I model. The idea is an expansion of the construction originally introduced by Ashtekar and Wilson-Ewing and relies on explicit averaging of certain sub-class of spin-networks over the subgroup of the diffeomorphisms remaining after the gauge fixing used in homogeneous LQC. It is based on the set of clearly defined principles, thus is a convenient tool to control the emergence and behavior of the cosmological degrees of freedom in studies of dynamics in canonical LQG. Relating the proposed LQG-LQC interface with some results on black hole entropy suggests a modification to the area gap value currently used in LQC.

gr-qc↗

arXiv2014

Separable Hilbert space for loop quantization

We discuss, within the simplified context provided by the polymeric harmonic oscillator, a construction leading to a separable Hilbert space that preserves some of the most important features of the spectrum of the Hamiltonian operator. This construction may be applied to other polymer quantum mechanical systems, including those of loop quantum cosmology, and is likely generalizable to certain formulations of full loop quantum gravity. It is helpful to sidestep some of the physically relevant issues that appear in that context, in particular those related to superselection and the definition of suitable ensembles for the statistical mechanics of these types of systems.

gr-qc↗

arXiv2014

Geometric time in quantum cosmology

Various choices of the geometry degrees of freedom as the emergent time are tested on the model of an isotropic universe with a scalar field of $ϕ^2$ potential. Potential problems with each choices as well as possible applications in loop quantization are discussed.

gr-qc↗