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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 propose a new method for generating generalised uncertainty relations (GURs) including the generalised uncertainty principle (GUP), extended uncertainty principle (EUP), and extended generalised uncertainty principle (EGUP), previously…

General Relativity and Quantum Cosmology · Physics 2019-12-17 Matthew J. Lake

The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of Quantum Gravity. It consists of a modified commutator between position and momentum. In this work we compute…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Pasquale Bosso , Saurya Das , Robert B. Mann

We investigate the effects to all orders in the Planck length from a generalized un- certainty principle (GUP) on black holes thermodynamics. We calculate the corrected Hawking temperature, entropy, and examine in details the Hawking…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Khireddine Nouicer

An object moving with the acceleration will change the temperature of environment around it, because of the presence of the Unruh thermal effect. In this work, we investigate the impact of Unruh thermal noise on the quantum-memory-assisted…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Yu-Kun Zhang , Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang

A projection method is proposed to treat the one-dimensional Schrodinger equation for a single particle when the Generalized Uncertainty Principle (GUP) generates an ultraviolet (UV) wavevector cutoff. The existence of a unique coordinate…

Mathematical Physics · Physics 2015-06-12 K. Sailer , Z. Peli , S. Nagy

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

Based on quantum mechanical framework for the minimal length uncertainty, we demonstrate that the generalized uncertainty principle (GUP) parameter could be best constrained by recent gravitational waves observations on one hand. On other…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Abdel Magied Diab , Abdel Nasser Tawfik

The Unruh effect, predicting a thermal reservoir for accelerating systems, calls for a more refined understanding of measurement processes involving quantum systems as thermometers. Conventional models fail to account for the inherent…

Quantum Physics · Physics 2025-02-26 M. Cardi , P. Solinas , N. Zanghì

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

We obtain an effective acoustic metric with quantum corrections that are provided by a minimum length implemented by the generalized Heisenberg uncertainty principle (GUP) in the Abelian Higgs model. The effective acoustic metric now…

General Relativity and Quantum Cosmology · Physics 2022-03-22 M. A. Anacleto , F. A. Brito , G. C. Luna , E. Passos

In this paper, we study the power spectrum of the uniformly accelerating scalar field, obeying the $\kappa$-deformed Klein-Gordon equation. From this we obtain the $\kappa$-deformed corrections to the Unruh temperature, valid up to first…

High Energy Physics - Theory · Physics 2024-06-25 Vishnu Rajagopal

The generalized uncertainty principle (GUP) modifies the uncertainty relation between momentum and position giving room for a minimal length, as predicted by candidates theories of quantum gravity. Inspired by GUP, Planck's distribution is…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Pasquale Bosso , Juan Manuel López Vega

In a recent paper, we presented a nonperturbative higher order generalized uncertainty principle (GUP) that is consistent with various proposals of quantum gravity such as string theory, loop quantum gravity, doubly special relativity, and…

High Energy Physics - Theory · Physics 2012-11-26 Pouria Pedram

Numerous studies have shown that generalized uncertainty principle (GUP) removes the Chandrasekhar limit, which can be restored using a negative GUP parameter. This study indicates that observational phantom dark energy also requires an…

General Relativity and Quantum Cosmology · Physics 2024-10-23 S. Ahmadi , E. Yusofi , M. A. Ramzanpour

We investigate the Generalized Uncertainty Principle (GUP) effect on the Hawking radiation of the 2+1 dimensional Martinez-Zanelli black hole by using the Hamilton-Jacobi method. In this connection, we discuss the tunnelling probabilities…

General Relativity and Quantum Cosmology · Physics 2017-10-09 Ganim Gecim , Yusuf Sucu

After a short introduction to the generalized uncertainty principle (GUP), we discuss heuristic derivations of the Casimir effect, first from the usual Heisenberg uncertainty principle (HUP), and then from GUP. Results are compared with…

High Energy Physics - Theory · Physics 2025-03-25 Massimo Blasone , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello , Fabio Scardigli

A uniformly accelerated charged particle feels the vacuum as thermally excited and fluctuates around the classical trajectory. Then we may expect additional radiation besides the Larmor radiation. It is called Unruh radiation. In this…

High Energy Physics - Phenomenology · Physics 2011-02-24 Satoshi Iso , Yasuhiro Yamamoto , Sen Zhang

In this manuscript, we investigate the thermal properties of the rotating charged BTZ black hole under the gravity's rainbow (GR) and generalized uncertainty principle (GUP) formalism. At first, we study the GR-corrected thermal quantities…

General Relativity and Quantum Cosmology · Physics 2023-01-02 B. C. Lütfüoğlu , B. Hamil , L. Dahbi

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