https://doi.org/10.1140/epjc/s10052-021-09980-2
Regular Article - Theoretical Physics
A quantum bound on the compactness
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
Received:
22
May
2021
Accepted:
29
December
2021
Published online:
7
January
2022
We present a simple quantum description of the gravitational collapse of a ball of dust which excludes those states whose width is arbitrarily smaller than the gravitational radius of the matter source and supports the conclusion that black holes are macroscopic extended objects. We also comment briefly on the relevance of this result for the ultraviolet self-completion of gravity and the connection with the corpuscular picture of black holes.
© The Author(s) 2022
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