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Loop quantum Schwarzschild interior and black hole remnant

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arxiv 2006.08313 v4 pith:LIN3U7OY submitted 2020-06-15 gr-qc

classification gr-qc
keywords blackholeloopschwarzschilddiracinteriormodelobservable
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The interior of Schwarzschild black hole is quantized by the method of loop quantum gravity. The Hamiltonian constraint is solved and the physical Hilbert space is obtained in the model. The properties of a Dirac observable corresponding to the ADM mass of the Schwarzschild black hole are studied by both analytical and numerical techniques. It turns out that zero is not in the spectrum of this Dirac observable. This supports the existence of a stable remnant after the evaporation of a black hole. Our conclusion is valid for a general class of schemes adopted for loop quantization of the model.

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Cited by 2 Pith papers

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

  1. Dust shell in effective loop quantum black hole model

    gr-qc 2025-06 conditional novelty 6.0 of 10

    In a polymerized loop-quantum-gravity black hole model, a collapsing dust shell bounces and, for sufficiently heavy shells, follows a spacelike trajectory through the horizon, implying a finite horizon lifetime and a ...

  2. Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk

    gr-qc 2025-10 conditional novelty 4.0 of 10

    For the no-Cauchy-horizon quantum-corrected metric, a larger quantum parameter produces larger horizon, photon sphere, ISCO, and shadow, with narrower and tighter-spaced photon and lensed rings.

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