Geometrical measurements in three-dimensional quantum gravity
General Relativity and Quantum Cosmology
2015-06-25 v2 High Energy Physics - Theory
Abstract
A set of observables is described for the topological quantum field theory which describes quantum gravity in three space-time dimensions with positive signature and positive cosmological constant. The simplest examples measure the distances between points, giving spectra and probabilities which have a geometrical interpretation. The observables are related to the evaluation of relativistic spin networks by a Fourier transform.
Cite
@article{arxiv.gr-qc/0203018,
title = {Geometrical measurements in three-dimensional quantum gravity},
author = {John W. Barrett},
journal= {arXiv preprint arXiv:gr-qc/0203018},
year = {2015}
}
Comments
This is the first of three lectures given at the Xth Oporto Meeting on Geometry, Topology and Physics, September 2001. v2: one typo corrected