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Geometrical measurements in three-dimensional quantum gravity

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arxiv gr-qc/0203018 v2 pith:5SKIYWZ7 submitted 2002-03-06 gr-qc hep-th

classification gr-qchep-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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.

  2. Triangulating quantum gravity in AdS$_3$

    hep-th 2025-07 conditional novelty 6.0 of 10

    The fixed-angle gravitational path integral in AdS3 equals a Conformal Turaev-Viro partition function, the fixed-length path integral equals a Virasoro TQFT amplitude squared, and the semiclassical geometries are buil...

  3. Conformal Turaev-Viro Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    Conformal Turaev-Viro theory is a triangulation-based dual to Virasoro TQFT whose partition function equals the modular S-transform of |Z_Vir|^2.

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