Generalized uncertainty principle in three-dimensional gravity and the BTZ black hole

0543655 - FZÚ 2022 RIV US eng J - Journal Article
Iorio, A. - Lambiase, G. - Pais, Pablo - Scardigli, F.
Generalized uncertainty principle in three-dimensional gravity and the BTZ black hole.
Physical Review D. Roč. 101, č. 10 (2020), č. článku 105002. ISSN 2470-0010. E-ISSN 2470-0029
R&D Projects: GA MŠMT EF15_003/0000449
Grant - others:OP VVV - HiFi(XE) CZ.02.1.01/0.0/0.0/15_003/0000449
Institutional support: RVO:68378271
Keywords : Planck-scale * spacetime * length * symmetries
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 5.296, year: 2020
Method of publishing: Open access

We investigate the structure of the gravity-induced generalized uncertainty principle in three dimensions. The subtleties of lower-dimensional gravity, and its important differences concerning four and higher dimensions, are duly taken into account, by considering different possible candidates for the gravitational radius, R-9, that is the minimal length/maximal resolution of the quantum mechanical localization process. We find that the event horizon of the M not equal 0 Bafiados-Teitelboim-Zanelli micro-black-hole furnishes the most consistent R-9. This allows us to obtain a suitable formula for the generalized uncertainty principle in three dimensions, and also to estimate the corrections induced by the latter on the Hawking temperature and Bekenstein entropy.
Permanent Link: http://hdl.handle.net/11104/0320844