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The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It provides a natural transition between the expressions for the Compton wavelength below the Planck…

General Relativity and Quantum Cosmology · Physics 2011-07-05 Bernard Carr , Leonardo Modesto , Isabeau Prémont-Schwarz

The Black Hole Uncertainty Principle correspondence suggests that there could exist black holes with mass beneath the Planck scale but radius of order the Compton scale rather than Schwarzschild scale. We present a modified, self-dual…

General Relativity and Quantum Cosmology · Physics 2015-07-20 Bernard J. Carr , Jonas Mureika , Piero Nicolini

Black holes play an important role in linking microphysics with macrophysics, with those of the Planck mass ($M_P \sim10^{-5}$g) featuring in any theory of quantum gravity. In particular, the Compton-Schwarzschild correspondence posits a…

General Relativity and Quantum Cosmology · Physics 2023-02-27 B. J. Carr

We investigate the thermodynamics of Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle. The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified…

High Energy Physics - Theory · Physics 2016-09-29 Z. W. Feng , H. L. Li , X. T. Zu , S. Z. Yang

In the current standard viewpoint small black holes are believed to emit radiation as black bodies at the Hawking temperature, at least until they reach Planck size, after which their fate is open to conjecture. A cogent argument against…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ronald J. Adler , Pisin Chen , David I. Santiago

We investigate the generalized uncertainty principle (GUP) corrections to the entropy content and the information flux of black holes, as well as the corrections to the sparsity of the Hawking radiation at the late stages of evaporation. We…

General Relativity and Quantum Cosmology · Physics 2018-02-23 Ana Alonso-Serrano , Mariusz P. Dabrowski , Hussain Gohar

An Extended Uncertainty Principle inspired Schwarzschild metric that allows for large scale modifications to gravitation is presented. At a new fundamental length scale $\Ls$, the usual black hole characteristics (horizon radius, ISCO, and…

General Relativity and Quantum Cosmology · Physics 2018-12-24 J. R. Mureika

Here we study the effects of the Generalized Uncertainty Principle in the tunneling formalism for Hawking radiation to evaluate the quantum-corrected Hawking temperature and entropy for a Schwarzschild black hole. We compare our results…

General Relativity and Quantum Cosmology · Physics 2013-10-14 Barun Majumder

We study the Horizon Wavefunction (HWF) description of a generalized uncertainty principle inspired metric that admits sub-Planckian black holes, where the black hole mass $m$ is replaced by $M = m\left( 1 + \frac{\beta}{2} \frac{M_{\rm…

General Physics · Physics 2017-01-02 Luciano Manfredi , Jonas Mureika

There appears to be a duality between elementary particles, which span the mass range below the Planck scale, and black holes, which span the mass range range above it. In particular, the Black Hole Uncertainty Principle Correspondence…

General Relativity and Quantum Cosmology · Physics 2017-03-28 B. J. Carr

We investigate the thermodynamics of the Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle (GUP). The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the…

High Energy Physics - Theory · Physics 2016-09-20 Z. W. Feng , H. L. Li , X. T. Zu , S. Z. Yang

We study the phase transition of rainbow inspired higher dimensional Schwarzschild black hole incorporating the effects of the generalized uncertainty principle. First, we obtain the relation between the mass and Hawking temperature of the…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Rituparna Mandal , Sukanta Bhattacharyya , Sunandan Gangopadhyay

The generalized uncertainty principle is often used to modify various thermodynamics systems by regarding the greater-than-equal relation as an approximate relation. We give a method to improve this approximation and compare the differences…

General Relativity and Quantum Cosmology · Physics 2022-10-13 Xin-Dong Du , Chao-Yun Long

In this paper we study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of generalized uncertainty principle with correction terms upto fourth order in momentum…

General Physics · Physics 2018-06-11 Sunandan Gangopadhyay , Abhijit Dutta

We show that the implications of the generalized uncertainty principle (GUP) in the black hole physics are consistent with the predictions of the corpuscular theory of gravity, in which a black hole is conceived as a Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Luca Buoninfante , Giuseppe Gaetano Luciano , Luciano Petruzziello

The generalized uncertainty principle, motivated by string theory and non-commutative quantum mechanics, suggests significant modifications to the Hawking temperature and evaporation process of black holes. For extra-dimensional gravity…

High Energy Physics - Phenomenology · Physics 2009-11-10 Marco Cavaglia , Saurya Das , Roy Maartens

We study thermodynamic quantities and the stability of a black hole in a cavity using the Euclidean action formalism by Gibbons and Hawking based on the generalized uncertainty relation which is extended in a symmetric way with respect to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wontae Kim , Edwin J. Son , Myungseok Yoon

We discuss the Generalized Uncertainty Principle and the Extended Uncertainty Principle in the context of black hole solutions coming from non-local theories of gravity, focusing, specifically, on Infinite Derivative Gravity. We argue that…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Salvatore Capozziello , Giuseppe Meluccio , Jonas R. Mureika

The generalized uncertainty principle discloses a self-complete characteristic of gravity, namely the possibility of masking any curvature singularity behind an event horizon as a result of matter compression at the Planck scale. In this…

High Energy Physics - Theory · Physics 2013-11-21 Maximiliano Isi , Jonas Mureika , Piero Nicolini

The tunneling formalism in the Hamilton-Jacobi approach is adopted to study Hawking radiation of massless Dirac particles from spherically symmetric black hole spacetimes incorporating the effects of the generalized uncertainty principle.…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Sunandan Gangopadhyay
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