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Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein--Hawking (black hole) entropy. In particular, many researchers have expressed a vested interest in fixing the coefficient of the…

High Energy Physics - Theory · Physics 2009-11-10 A. J. M. Medved , Elias C. Vagenas

The Generalized Uncertainty Principle (GUP), motivated by current alternatives of quantum gravity, produces significant modifications to the Hawking radiation and the final stage of black hole evaporation. We show that incorporation of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kourosh Nozari , S. Hamid Mehdipour

In this paper, we study the thermodynamics of black holes using a generalized uncertainty principle (GUP) with a correction term linear order in the momentum uncertainty. The mass-temperature relation and heat capacity are calculated from…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Abhijit Dutta , Sunandan Gangopadhyay

Bekenstein-Hawking formalism of black hole thermodynamics should be modified to incorporate quantum gravitational effects. Generalized Uncertainty Principle(GUP) provides a suitable framework to perform such modifications. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , S. Hamid Mehdipour

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 apply the Generalized Uncertainty Principle (GUP) to the problem of maximum entropy and evaporation/absorption of energy of black holes near the Planck scale. We find within this general approach corrections to the maximum entropy, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. S. Custodio , J. E. Horvath

We explore the modification of the entropic formulation of uncertainty principle in quantum mechanics which measures the incompatibility of measurements in terms of Shannon entropy. The deformation in question is the type so called…

High Energy Physics - Theory · Physics 2017-08-28 Li-Yi Hsu , Shoichi Kawamoto , Wen-Yu Wen

We argue that, when the gravity effect is included, the generalized uncertainty principle (GUP) may prevent black holes from total evaporation in a similar way that the standard uncertainty principle prevents the hydrogen atom from total…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Pisin Chen , Ronald J. Adler

The standard form of generalized uncertainty principle (GUP) predicts that the Hawking temperature is modified near the Planck scale and that the Bekenstein-Hawking entropy receives a logarithmic correction, consistent with other approaches…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Yen Chin Ong

Various theories of quantum gravity predict the existence of a minimum length scale, which leads to the modification of the standard uncertainty principle to the Generalized Uncertainty Principle (GUP). In this paper, we study two forms of…

High Energy Physics - Theory · Physics 2014-12-31 Mohammed M. Khalil

Very recently authors in [5] proposed a new Generalized Uncertainty Principle (or GUP) with a linear term in Plank length. In this Letter the effect of this GUP is studied in quantum cosmological models with dust and cosmic string as the…

General Relativity and Quantum Cosmology · Physics 2011-05-11 Barun Majumder

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg Uncertainty Principle near the Plank scale, known as the Generalized Uncertainty Principle (GUP). Here we…

High Energy Physics - Theory · Physics 2014-11-04 Fatemeh Ahmadi , Jafar Khodagholizadeh

Quantum gravity effects modify the Heisenberg's uncertainty principle to a generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the Schr\"odinger equation, when applied to a non-relativistic…

General Relativity and Quantum Cosmology · Physics 2016-02-04 Soumen Deb , Saurya Das , Elias C. Vagenas

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

In this essay we argue that once quantum gravitational effects change the classical geometry of a black hole and remove the curvature singularity, the black hole would not evaporate entirely but approach a remnant. In a modified…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Li Xiang , Yi Ling , You Gen Shen

We explore analytically the implications of a curvature-modified extended uncertainty principle (EUP) derived in a rotating G\"odel spacetime and apply it to the construction of a semiclassical black hole model. Adapting techniques from…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Reggie C. Pantig

In this paper, we have discussed the effects of quantum fluctuations spewed by a black hole on its deflection angle. The Gauss-Bonnet theorem (GBT) is exploited with quantum corrections through the Extended Uncertainty Principle (EUP) and…

General Relativity and Quantum Cosmology · Physics 2019-12-16 Yashmitha Kumaran , Ali Övgün

A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Ashmita Das , Saurya Das , Elias C. Vagenas

It is often argued that quantum gravitational correction to the Heisenberg's uncertainty principle leads to, among other things, a black hole remnant with finite temperature. However, such a generalized uncertainty principle also seemingly…

General Relativity and Quantum Cosmology · Physics 2018-09-18 Yen Chin Ong

The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts to a theory of quantum gravity and predicts the existence of a minimum length in Nature. In this work, we consider two cosmological models arising from Friedmann…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Serena Giardino , Vincenzo Salzano
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