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arxiv: gr-qc/0203018 · v2 · submitted 2002-03-06 · 🌀 gr-qc · hep-th

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Geometrical measurements in three-dimensional quantum gravity

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classification 🌀 gr-qc hep-th
keywords quantumgeometricalgravityobservablespositiveconstantcosmologicaldescribed
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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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