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We formulate generalized uncertainty relations in a crystal-like universe whose lattice spacing is of the order of Planck length -- "world crystal". In the particular case when energies lie near the border of the Brillouin zone, i.e., for…

High Energy Physics - Theory · Physics 2010-05-12 Petr Jizba , Hagen Kleinert , Fabio Scardigli

In this paper we study the issue of the role of nonlocality as a possible ingredient to solve long standing problems in the physics of black holes. To achieve this goal we analytically derive new black hole metrics improved by corrections…

High Energy Physics - Theory · Physics 2012-02-22 Piero Nicolini

We adapt the horizon wave-function formalism to describe massive static spherically symmetric sources in a general $(1+D)$-dimensional space-time, for $D>3$ and including the $D=1$ case. We find that the probability $P_{\rm BH}$ that such…

General Relativity and Quantum Cosmology · Physics 2016-11-04 Roberto Casadio , Rogerio T. Cavalcanti , Andrea Giugno , Jonas Mureika

The Generalized Uncertainty Principle (GUP) and Extended Uncertainty Principle (EUP) are modifications to the Heisenberg Uncertainly Principle (HUP), expected to apply as the energy approaches the Planck scale. Here we consider a possible…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Bernard Carr , Jonas Mureika

We explore the impact of the Generalized Uncertainty Principle (GUP) on the thermodynamics of five-dimensional Einstein-Gauss-Bonnet (EGB) black holes. A modified mass-temperature relation is derived under the assumption of local…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Sasmita Kumari Pradhan , Jamima Gee Varghese , C. Fairoos

In this paper we explore the effects of a Generalized Uncertainty Principle (GUP) on Schwarzschild black hole. In particular, we incorporate the effects of GUP into the Parikh-Wilczek tunneling process for Hawking radiation. To this effect,…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Maxim Yu Khlopov

Inspired by string theory, Heisenberg's uncertainty principle can be generalized to include the photon-electron gravitational interaction, which leads to the Generalized Uncertainty Principle (GUP). Although GUP considers gravitational…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Sara Azizi , Sareh Eslamzadeh , Javad T. Firouzjaee , Kourosh Nozari

The impact of the Generalized Uncertainty Principle (GUP) on Hawking particle emission in a rotating linear dilaton black hole (RLDBH) spacetime is examined in this thesis. The concerned study presents a thermal emission model for black…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Erdem Sucu

I discuss features required for preserving unitarity in black hole decay and concepts underlying such a perspective. Unitarity requires that correlations extend on the scale of the horizon. I show, in a toy model inspired by string…

High Energy Physics - Theory · Physics 2007-05-23 F. Englert

A basic inconsistency arises when the Theory of Special Relativity meets with quantum phenomena at the Planck scale. Specifically, the Planck length is Lorentz invariant and should not be affected by a Lorentz boost. We argue that Planckian…

General Relativity and Quantum Cosmology · Physics 2013-09-30 A. Aurilia , E. spallucci

Hawking's black hole information puzzle highlights the incompatibility between our present understanding of gravity and quantum physics. However, Hawking's prediction of black-hole evaporation is at a semiclassical level. One therefore…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod

This study considers the generalized uncertainty principle, which incorporates the central idea of large extra dimensions, to investigate the processes involved when massive spin-1 particles tunnel from Reissner-Nordstrom and Kerr black…

High Energy Physics - Theory · Physics 2016-10-28 Xiang-Qian Li

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

General Relativity and Quantum Cosmology · Physics 2009-03-19 Zhao Hai-Xia , Li Huai-Fan , Hu Shuang-Qi , Zhao Ren

The uncertainty principle constitutes a fundamental pillar of quantum theory, representing one of the most distinctive features that differentiates quantum mechanics from classical physics. In this study, we firstly propose a novel…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Rui-Jie Yao , Dong Wang

In a previous study, it was shown that the Generalized Uncertainty Principle (GUP) can be derived from non-extensive entropies, particularly those depending only on the probability, denoted as $S_\pm$ in the literature. This finding reveals…

High Energy Physics - Theory · Physics 2025-02-26 Nana Cabo Bizet , Octavio Obregón , Wilfredo Yupanqui Carpio

The process of black hole evaporation resulting from the Hawking effect has generated an intense controversy regarding its potential conflict with quantum mechanics' unitary evolution. In a recent couple of works of a collaboration…

General Relativity and Quantum Cosmology · Physics 2015-10-01 Sujoy K. Modak , Leonardo Ortíz , Igor Peña , Daniel Sudarsky

A new kind of duality has been proposed by Carr related to the quantum description of black holes, the so-called Compton/Schwarzschild duality \cite{Carr:2015nqa}. In this context, a new form for a Generalized Uncertainty Principle has…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Marcelo Ferreira da Silva , Carlos A. S. Silva

Recently, the Heisenberg's uncertainty principle has been extended to incorporate the existence of a large (cut-off) length scale in de Sitter or anti-de Sitter space, and the Hawking temperatures of the Schwarzshild-(anti) de Sitter black…

High Energy Physics - Theory · Physics 2008-11-26 Mu-in Park

In this work we suggest a simplified "quasi-classical" formalism of the Schwarzschild black hole thermodynamics. We define such small quantum system at Schwarzschild black hole horizon surface whose reduced Compton wavelength equals one…

General Physics · Physics 2020-09-22 Vladan Pankovic

Four spherically symmetric but non-asymptotically flat black hole solutions surrounded with spherical dark matter distribution perceived under the minimal length scale effect is derived via the generalized uncertainty principle. Here, the…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Ali Övgün , Lemuel John F. Sese , Reggie C. Pantig