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We derive the formula of the black hole entropy with a minimal length of the Planck size by counting quantum modes of scalar fields in the vicinity of the black hole horizon, taking into account the generalized uncertainty principle (GUP).…

High Energy Physics - Theory · Physics 2009-11-18 Wontae Kim , John J. Oh

Last year, Chung and Hassanabadi proposed a higher order general uncertainty principle (GUP$^\ast$) that predicts a minimal length as well as possesses a upper bound momentum limit. In this article, we have discussed an ideal gas system and…

General Relativity and Quantum Cosmology · Physics 2021-08-17 B. Hamil , B. C. Lütfüoğlu

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

In this paper, we employ one variant of the Generalized Uncertainty Principle (GUP) model, i.e., the Kempf-Mangano-Mann (KMM) model, and discuss the impact of GUP on the EoS of nuclear and neutron star matter based on the Relativistic Mean…

Nuclear Theory · Physics 2022-10-24 I. Prasetyo , I. H. Belfaqih , A. B. Wahidin , A. Suroso , A. Sulaksono

A number of arguments at the interplay of general relativity and quantum theory suggest an operational limit to spatial resolution, conventionally modelled as a generalized uncertainty principle (GUP). Recently, it has been demonstrated…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Pasquale Bosso , Giuseppe Fabiano , Domenico Frattulillo , Fabian Wagner

Attempts to formulate a quantum theory of gravitation are collectively known as {\it quantum gravity}. Various approaches to quantum gravity such as string theory and loop quantum gravity, as well as black hole physics and doubly special…

High Energy Physics - Theory · Physics 2011-12-25 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

Almost all theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). Recently it was shown that the GUP gives rise to corrections…

High Energy Physics - Theory · Physics 2015-05-30 Saurya Das , R. B. Mann

In this article we examine a Generalized Uncertainty Principle which differs from the Heisenberg Uncertainty Principle by terms linear and quadratic in particle momenta, as proposed by the authors in an earlier paper. We show that this…

High Energy Physics - Theory · Physics 2013-05-21 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas

We study Quantum Gravity effects in cosmology, and in particular that of the Generalized Uncertainty Principle on the Friedmann equations. We show that the Quantum Gravity induced variations of the energy density and pressure in the…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Saurya Das , Mitja Fridman , Gaetano Lambiase , Elias C. Vagenas

We extend significantly previous works on the Hilbert space representations of the Generalized Uncertainty Principle (GUP) in 3+1 dimensions of the form $[X_i,P_j] = i F_{ij}$ where $ F_{ij} = f(P^2) \delta_{ij} + g(P^2) P_i P_j $ for any…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Jean-Philippe Bruneton , Julien Larena

The concept of minimum length, widely accepted as a low-energy effect of quantum gravity, manifests itself in quantum mechanics through generalized uncertainty principles. Curved momentum space, on the other hand, is at the heart of similar…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Fabian Wagner

In this paper we have consider the thermodynamics of a photon gas subject to the presence of a minimal measurable length following from a covariant extension of the original generalized uncertainty principle (GUP). After establishing…

High Energy Physics - Theory · Physics 2016-11-02 R. Bufalo

Motivated by the recently derived new form of generalized uncertainty principle we obtain the corresponding dispersion relation which is now modified. This modification can be interpreted as a possible mechanism that makes particles more…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Bibhas Ranjan Majhi , Elias C. Vagenas

The links between the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the two free parameters $\hat{\omega}$ and $\gamma$ of the running Newtonian coupling constant of the Asymptotic Safe gravity (ASG)…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Gaetano Lambiase , Reggie C. Pantig , Dhruba Jyoti Gogoi , Ali Övgün

In this paper we study the effect of the Generalized Uncertainty Principle (GUP) on the shadow of GUP-modified Kerr black hole and the correspondence between the shadow radius and the real part of the quasinormal modes (QNMs). We find that…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Tao Zhu

After a critical overview of the Generalized Uncertainty Principle (GUP) applied to compact objects, we propose a texture of Heisenberg uncertainty principle in curved spacetimes (CHUP). CHUP allows to write down physically motivated STUR…

General Relativity and Quantum Cosmology · Physics 2020-12-21 Stefano Viaggiu

We investigate the impact of the Generalized Uncertainty Principle (GUP), proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity Theories (DSR) on the production of mini black holes, and show that…

High Energy Physics - Theory · Physics 2012-09-25 Ahmed Farag Ali

A model of traversable wormhole in an extended gravity theory has been proposed. The Casimir effect and Generalised Uncertainty Principle (GUP) arising out of the concept of minimal length have been considered to obtain the shape function,…

General Relativity and Quantum Cosmology · Physics 2020-12-16 S K Tripathy

We consider a modification of the Brans-Dicke gravitational Action Integral inspired by the existence of a minimum length uncertainty for the scalar field. In particular, the kinetic part of the Brans-Dicke scalar field is modified such…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Andronikos Paliathanasis , Genly Leon

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
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