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Geometrical measurements in three-dimensional quantum gravity

John W. Barrett
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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.

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John W. Barrett. 2005-02-14. Geometrical measurements in three-dimensional quantum gravity. https://doi.org/10.1142/s0217751x03017981

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