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Taking into account the importance of the unified theory of quantum mechanics and gravity, and the existence of a minimal length of the order of the Planck scale, we consider a modified Schr\"odinger equation resulting from a generalized…

量子物理 · 物理学 2024-03-29 M. Baradaran , L. M. Nieto , S. Zarrinkamar

The generalized uncertainty principles (GUP) and modified dispersion relations (MDR) are much like two faces for one coin in research for the phenomenology of quantum gravity which apparently plays an important role in estimating the…

广义相对论与量子宇宙学 · 物理学 2015-05-01 Abdel Nasser Tawfik , Abdel Magied Diab

Several phenomenological approaches to quantum gravity predict the existence of a minimal measurable length and/or a maximum measurable momentum near the Planck scale. When embedded into the framework of quantum mechanics, such constraints…

广义相对论与量子宇宙学 · 物理学 2023-05-30 Eissa Al-Nasrallah , Saurya Das , Fabrizio Illuminati , Luciano Petruzziello , Elias C. Vagenas

In this article, the thermodynamic properties of Bardeen black holes surrounded by quintessence are investigated in the framework of a new higher order GUP. The modified Hawking temperature, entropy and heat capacity are derived using a…

广义相对论与量子宇宙学 · 物理学 2025-11-24 Bo-Li Liu , Yu Zhang , Qi-Quan Li , Chen-Hao Xie

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).…

高能物理 - 理论 · 物理学 2009-11-18 Wontae Kim , John J. Oh

Generalizations of coordinate $x$-momentum $p_x$ Uncertainty Principle, with $\Delta x$ and $\Delta p_x$ dependent terms ($\Delta$ denoting standard deviation), $$\Delta x \Delta p_x\geq i\hbar (1+\alpha\Delta p_x^2 +\beta \Delta x^2)$$…

量子物理 · 物理学 2024-06-21 Subir Ghosh

The standard model extension (SME) is an effective field theory framework that can be used to study the possible violations of Lorentz symmetry in the gravitational interaction. In the SME's gauge invariant linearized gravity sector, the…

广义相对论与量子宇宙学 · 物理学 2023-06-21 Cheng Gong , Tao Zhu , Rui Niu , Qiang Wu , Jing-Lei Cui , Xin Zhang , Wen Zhao , Anzhong Wang

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…

高能物理 - 理论 · 物理学 2012-02-22 Piero Nicolini

We study quantum corrections to the $\Lambda$CDM model model arising from a minimum measurable length in Heisenberg's uncertainty principle. We focus on a higher-order Generalized Uncertainty Principle, beyond the quadratic form. This…

广义相对论与量子宇宙学 · 物理学 2025-12-25 Andronikos Paliathanasis , Genly Leon , Yoelsy Leyva , Giuseppe Gaetano Luciano , Amare Abebe

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…

广义相对论与量子宇宙学 · 物理学 2025-06-03 Reggie C. Pantig

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…

高能物理 - 理论 · 物理学 2015-11-19 Yan-Gang Miao , Ying-Jie Zhao , Shao-Jun Zhang

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 P. S. Custodio , J. E. Horvath

We investigate the black hole information paradox in the setting of pseudo-complex gravity, a covariant geometric extension of general relativity that introduces a minimal length scale by deforming the spacetime manifold. In this framework,…

广义相对论与量子宇宙学 · 物理学 2025-06-30 Fridolin Weberand Peter O. Hess , Cesar A. Zen Vasconcellos

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…

高能物理 - 理论 · 物理学 2014-12-31 Mohammed M. Khalil

We investigate the generalized uncertainty principle (GUP) corrections to the entropy content and the information flux of black holes, as well as the corrections to the sparsity of the Hawking radiation at the late stages of evaporation. We…

广义相对论与量子宇宙学 · 物理学 2018-02-23 Ana Alonso-Serrano , Mariusz P. Dabrowski , Hussain Gohar

In general yes, but also not quite. It is known that if the Bekenstein-Hawking entropy is replaced by some kind of generalized entropy, then the Bekenstein bound may be grossly violated. In this work, we show that this undesired violation…

广义相对论与量子宇宙学 · 物理学 2025-10-17 Hengxin Lu , Yen Chin Ong

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…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Rocco D'Agostino , Pasquale Bosso , Giuseppe Gaetano Luciano

We consider a static and spherically symmetric black hole metric that emerges from the vacuum solution of the traceless metric-affine bumblebee model. Our study focuses on the possible implications of the modifications induced by the model…

广义相对论与量子宇宙学 · 物理学 2024-02-05 Sohan Kumar Jha , Anisur Rahaman

Bardeen regular black hole is commonly considered as a solution of general relativity coupled to a nonlinear electrodynamics. In this paper, it is shown that the Bardeen solution may be interpreted as a quantum-corrected Schwarzschild black…

广义相对论与量子宇宙学 · 物理学 2018-12-06 R. V. Maluf , Juliano C. S. Neves

In this talk, results from the gravitational sector of the Standard-Model Extension (SME) are discussed. The weak-field phenomenology of the resulting modified gravitational field equations is explored. The application of the results to a…

广义相对论与量子宇宙学 · 物理学 2016-11-09 Quentin G. Bailey