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A curvature operator for LQG

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arxiv 1403.3190 v4 pith:52CXBC2Q submitted 2014-03-13 gr-qc hep-th

classification gr-qchep-th
keywords curvatureoperatorreggecalculuschecksclassicalconstructiondefine
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We introduce a new operator in Loop Quantum Gravity - the 3D curvature operator - related to the 3-dimensional scalar curvature. The construction is based on Regge Calculus. We define it starting from the classical expression of the Regge curvature, then we derive its properties and discuss some explicit checks of the semi-classical limit.

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Cited by 1 Pith paper

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  1. Asymmetric Quantum Oppenheimer-Snyder Collapse

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Asymmetric loop-quantum-cosmology collapse of a dust ball yields a geodesically complete, bouncing regular black hole spacetime with a C^0 shock at the dust surface and two joined vacuum geometries.

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