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- W2981236869 abstract "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, ${R}_{g}$, that is the minimal length/maximal resolution of the quantum mechanical localization process. We find that the event horizon of the $Mensuremath{ne}0$ Ba~nados-Teitelboim-Zanelli micro-black-hole furnishes the most consistent ${R}_{g}$. 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, $ensuremath{ell}=1/sqrt{ensuremath{-}mathrm{ensuremath{Lambda}}}$, as a possible alternative to ${R}_{g}$, and present a condensed matter analog realization of this scenario." @default.
- W2981236869 created "2019-10-25" @default.
- W2981236869 creator A5001832906 @default.
- W2981236869 creator A5050600153 @default.
- W2981236869 creator A5069651330 @default.
- W2981236869 creator A5090984543 @default.
- W2981236869 date "2020-05-01" @default.
- W2981236869 modified "2023-10-12" @default.
- W2981236869 title "Generalized uncertainty principle in three-dimensional gravity and the BTZ black hole" @default.
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- W2981236869 doi "https://doi.org/10.1103/physrevd.101.105002" @default.
- W2981236869 hasPublicationYear "2020" @default.
- W2981236869 type Work @default.
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