https://doi.org/10.1140/epjc/s10052-019-7164-y
Regular Article - Theoretical Physics
Generalized uncertainty principle and corpuscular gravity
1
INFN, Sezione di Napoli, Gruppo collegato di Salerno, 84084, Fisciano, SA, Italy
2
Dipartimento di Fisica, Università di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
3
Van Swinderen Institute, University of Groningen, 9747 AG, Groningen, The Netherlands
* e-mail: lpetruzziello@na.infn.it
Received:
12
June
2019
Accepted:
23
July
2019
Published online:
7
August
2019
We show that the implications of the generalized uncertainty principle (GUP) in the black hole physics are consistent with the predictions of the corpuscular theory of gravity, in which a black hole is conceived as a Bose–Einstein condensate of weakly interacting gravitons stuck at the critical point of a quantum phase transition. In particular, we compute such characteristic thermodynamic quantities as the temperature and the evaporation rate of a black hole. By comparing the results obtained in the two scenarios, we are able to estimate the GUP deformation parameter 
, which turns out to be of order unity, in agreement with the expectations of some models of string theory. We also comment on the sign of , exploring the possibility of having a negative deformation parameter when a corpuscular quantum description of the gravitational interaction is assumed to be valid.
© The Author(s), 2019
