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Based on the generalized uncertainty principle (GUP), proposed by some approaches to quantum gravity such as string theory and doubly special relativity theories, we investigate the effect of GUP on the thermodynamic properties of compact…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Ahmed Farag Ali , A. Tawfik

The fundamental physical description of Nature is based on two mutually incompatible theories: Quantum Mechanics and General Relativity. Their unification in a theory of Quantum Gravity (QG) remains one of the main challenges of theoretical…

General Relativity and Quantum Cosmology · Physics 2019-06-20 Pasquale Bosso

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking…

High Energy Physics - Theory · Physics 2017-06-14 Sven Köppel , Marco Knipfer , Maximiliano Isi , Jonas Mureika , Piero Nicolini

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

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

The fundamental physical description of the Universe is based on two theories: Quantum Mechanics and General Relativity. Unified theory of Quantum Gravity (QG) is an open problem. Quantum Gravity Phenomenology (QGP) studies QG effects in…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Vasil Todorinov

In this paper, we calculate the relativistic corrections to the Zeeman effect for hydrogen-like atoms based on the Generalized Uncertainty Principle (GUP). We propose a relativistic GUP algebra using the Stetsko and Tkachuk approximation…

Quantum Physics · Physics 2024-10-17 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma

This paper concerned with the effect of generalized uncertainty principle (GUP) on the stochastic gravitational wave (SGW) background signal that produced during first order cosmological QCD phase transition in early universe. A modified…

General Relativity and Quantum Cosmology · Physics 2021-01-22 Mohamed Moussa , Homa Shababi , Ahmed Farag Ali

In this work, we consider generalized uncertainty principles (GUPs) that incorporate a minimal length through generic momentum-dependent deformation functions. We thus develop a systematic approach connecting such a framework to effective…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Rocco D'Agostino , Pasquale Bosso , Giuseppe Gaetano Luciano

We consider quantum gravity corrections to the maximum entropic force that arise from several gravitational uncertainty principles. These include the Generalized Uncertainty Principle (GUP), the Extended Uncertainty Principle (EUP), the…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Jonas Mureika , Elias C. Vagenas

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 find exact energy eigenvalues and eigenfunctions of the quantum bouncer in the presence of the minimal length uncertainty and the maximal momentum. This form of Generalized (Gravitational) Uncertainty Principle (GUP) agrees with various…

High Energy Physics - Theory · Physics 2014-05-19 Pouria Pedram

The existence of a minimum observable length and/or a maximum observable momentum is in agreement with various candidates of quantum gravity such as string theory, loop quantum gravity, doubly special relativity and black hole physics. In…

High Energy Physics - Theory · Physics 2011-03-28 Pouria Pedram , Kourosh Nozari , S. H. Taheri

The influence of the generalized uncertainty principle (GUP) and extended uncertainty principle (EUP) on the thermodynamics of the Friedmann-Robertson-Walker (FRW) universe has been investigated. It is shown that the entropy of the apparent…

High Energy Physics - Theory · Physics 2009-04-06 Tao Zhu , Ji-Rong Ren , Ming-Fan Li

The Generalized Uncertainty Principle (GUP) stands out as a nearly ubiquitous feature in quantum gravity modeling, predicting the emergence of a minimum length at the Planck scale. Recently, it has been shown to modify the area-law scaling…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Giuseppe Gaetano Luciano , Yassine Sekhmani

The effects of the generalized uncertainty principle (GUP) on the low-energy stationary states of a particle moving in a cavity with no sharp boundaries are determined by means of the perturbation expansion in the framework of…

High Energy Physics - Theory · Physics 2015-06-23 K. Sailer , Z. Peli , S. Nagy

As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the…

High Energy Physics - Theory · Physics 2015-11-19 Yan-Gang Miao , Ying-Jie Zhao , Shao-Jun Zhang

A proper deformation of the underlying coordinate and momentum commutation relations in quantum mechanics provides a phenomenological approach to account for the influence of gravity on small scales. Introducing the squared momentum term…

Quantum Physics · Physics 2024-07-15 Y. V. Przhiyalkovskiy

The Generalized Uncertainty Principle (GUP) extends the Heisenberg Uncertainty Principle (HUP) by suggesting a minimum observable scale that includes the effects of quantum gravity, which is supposed to potentially result in observable…

High Energy Physics - Phenomenology · Physics 2025-11-04 Zhi Wang

A space with deformed commutation relations for coordinates and momenta leading to generalized uncertainty principle (GUP) is studied. We show that GUP causes great violation of the weak equivalence principle for macroscopic bodies,…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Kh. P. Gnatenko , V. M. Tkachuk