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

0543655 - FZÚ 2022 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT EF15_003/0000449
Grant ostatní: OP VVV - HiFi(XE) CZ.02.1.01/0.0/0.0/15_003/0000449
Institucionální podpora: RVO:68378271
Klíčová slova: Planck-scale * spacetime * length * symmetries
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 5.296, rok: 2020
Způsob publikování: 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.
Trvalý link: http://hdl.handle.net/11104/0320844