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Different candidates of Quantum Gravity such as String Theory, Doubly Special Relativity, Loop Quantum Gravity and black hole physics all predict the existence of a minimum observable length or a maximum observable momentum which modifies…

High Energy Physics - Theory · Physics 2010-11-30 Pouria Pedram

In this paper we investigate statistical entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative…

High Energy Physics - Theory · Physics 2015-06-19 M. A. Anacleto , F. A. Brito , E. Passos , W. P. Santos

With Verlinde's recent proposal which says that gravity can be identified with an entropic force and considering the effects of generalized uncertainty principle in the black hole entropy-area relation we derive the modified equations for…

General Relativity and Quantum Cosmology · Physics 2013-11-11 Barun Majumder

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 recent years, the implications of the generalized (GUP) and extended (EUP) uncertainty prin-ciples on Maxwell-Boltzmann distribution have been widely investigated. However, at high energy regimes, the validity of Maxwell-Boltzmann…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Hooman Moradpour , Sara Aghababaei , Amir Hadi Ziaie

The uncertainty principle restricts our ability to simultaneously predict the measurement outcomes of two incompatible observables of a quantum particle. However, this uncertainty could be reduced and quantified by a new Entropic…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Lijuan Jia , Zehua Tian , Jiliang Jing

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

The uncertainty principle sets limit on our ability to predict the values of two incompatible observables measured on a quantum particle simultaneously. This principle can be stated in various forms. In quantum information theory, it is…

Quantum Physics · Physics 2018-09-27 H. Dolatkhah , S. Haseli , S. Salimi , S. A. Khorashad

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

The Heisenberg Uncertainty Principle (HUP) limits the accuracy in the simultaneous measurements of the position and momentum variables of any quantum system. This is known to be true in the context of non-relativistic quantum mechanics.…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Jaume Giné , Giuseppe Gaetano Luciano

Various models of quantum gravity imply the Planck-scale modifications of Heisenberg's uncertainty principle into a so-called generalized uncertainty principle (GUP). The GUP effects on high-energy physics, cosmology, and astrophysics have…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Dongfeng Gao , Jin Wang , Mingsheng Zhan

We argue that in the Generalized Uncertainty Principle (GUP) model, the parameter $\beta_0$ whose square root, multiplied by Planck length $\ell_p$, approximates the minimum measurable distance, varies with energy scales. Since minimal…

High Energy Physics - Theory · Physics 2015-05-14 Benrong Mu , Houwen Wu , Haitang Yang

Recently Ali et.al.(2009) proposed a Generalized Uncertainty Principle (or GUP) with a linear term in momentum (accompanied by Plank length). Inspired by this idea here we calculate the quantum corrected value of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Barun Majumder

In this letter, the entropy bound for local quantum field theories (LQFT) is studies in a class of models of the generalized uncertainty principle(GUP) which predicts a minimal length as a reflection of the quantum gravity effects. Both…

High Energy Physics - Theory · Physics 2015-06-04 Weijian Wang , Da Huang

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

String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle.…

Quantum Physics · Physics 2014-11-18 Kourosh Nozari , Tahereh Azizi

The recent background imaging of cosmic extragalactic polarization (BICEP2) observations are believed as an evidence for the cosmic inflation. BICEP2 provided a first direct evidence for the inflation, determined its energy scale and…

General Relativity and Quantum Cosmology · Physics 2015-01-19 Abdel Nasser Tawfik , Abdel Magied Diab

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

Entropic uncertainty relations play an important role in both fundamentals and applications of quantum theory. Although they have been well-investigated in quantum theory, little is known about entropic uncertainty in generalized…

Quantum Physics · Physics 2021-08-11 Ryo Takakura , Takayuki Miyadera

The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the…

High Energy Physics - Theory · Physics 2012-01-16 Pouria Pedram
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