Geometrical measurements in three-dimensional quantum gravity

Details Geometrical measurements in three-dimensional quantum gravity Geometrical measurements in three-dimensional quantum gravity

2002-03-06

arxiv.org/abs/gr-qc/0203018v2

Int.J.Mod.Phys. A18S2 (2003) 97-113

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This is the first of three lectures given at the Xth Oporto Meeting on Geometry, Topology and Physics, September 2001. v2: one

Scientific paper

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.

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