Generalized uncertainty principle in three-dimensional gravity and the BTZ black hole
The result's identifiers
Result code in 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>
Alternative codes found
RIV/68378271:_____/20:00543655
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Generalized uncertainty principle in three-dimensional gravity and the BTZ black hole
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/EF15_003%2F0000449" target="_blank" >EF15_003/0000449: High Field Initiative</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
—
Volume of the periodical
101
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
105002
UT code for WoS article
000529824500015
EID of the result in the Scopus database
2-s2.0-85085998037