In a coherent-state quantum geometry model, the de Sitter metric is reproduced in the Poincaré patch only for finite cosmological time, while the static patch acquires a real singularity at the horizon.
Horizon quantum mechanics for coherent quantum black holes
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abstract
The formalism of the horizon quantum mechanics is applied to electrically neutral and spherically symmetric black hole geometries emerging from coherent quantum states of gravity to compute the probability that the matter source is inside the horizon. We find that quantum corrections to the classical horizon radius become significant if the matter core has a size comparable to the Compton length of the constituents and the system is indeed a black hole with probability very close to one unless the core radius is close to the (classical) gravitational radius.
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gr-qc 1years
2026 1verdicts
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Coherent quantum geometry: de Sitter spacetime in different foliations
In a coherent-state quantum geometry model, the de Sitter metric is reproduced in the Poincaré patch only for finite cosmological time, while the static patch acquires a real singularity at the horizon.