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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10421838" target="_blank" >RIV/00216208:11320/20:10421838 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68378271:_____/20:00543655

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=HDYzyn1Tva" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=HDYzyn1Tva</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.101.105002" target="_blank" >10.1103/PhysRevD.101.105002</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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. We also point to the extremal M = 0 case, and its natural unit of length introduced by the cosmological constant, l = 1/root-Lambda as a possible alternative to R-9, an d present a condensed matter analog realization of this scenario.

Název v anglickém jazyce

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

Popis výsledku anglicky

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. We also point to the extremal M = 0 case, and its natural unit of length introduced by the cosmological constant, l = 1/root-Lambda as a possible alternative to R-9, an d present a condensed matter analog realization of this scenario.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/EF15_003%2F0000449" target="_blank" >EF15_003/0000449: High Field Initiative (Výzkum velmi intenzivních polí)</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

101

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

105002

Kód UT WoS článku

000529824500015

EID výsledku v databázi Scopus

2-s2.0-85085998037