https://doi.org/10.1140/epjp/s13360-025-06065-x
Regular Article
Horizon quantum mechanics for coherent quantum black holes
1
Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
2
I.N.F.N., Sezione di Bologna, I.S. FLAG, viale B. Pichat 6/2, 40127, Bologna, Italy
3
Department of Physics and Astronomy, University of Sussex, BN1 9QH, Brighton, UK
4
Alma Mater Research Center on Applied Mathematics - AM2, via saragozza 8, 40123, Bologna, Italy
Received:
28
October
2024
Accepted:
27
January
2025
Published online:
20
February
2025
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.
© The Author(s) 2025
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