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A curvature operator for LQG

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abstract

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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gr-qc 1

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2026 1

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representative citing papers

Asymmetric Quantum Oppenheimer-Snyder Collapse

gr-qc · 2026-08-06 · conditional · novelty 6.0

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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  • Asymmetric Quantum Oppenheimer-Snyder Collapse gr-qc · 2026-08-06 · conditional · none · ref 75 · internal anchor

    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.