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Various theories of Quantum Gravity argue that near the Planck scale, the Heisenberg Uncertainty Principle should be replaced by the so called Generalized Uncertainty Principle (GUP). We show that the GUP gives rise to two additional terms…

高能物理 - 理论 · 物理学 2010-11-02 Saurya Das , Elias C. Vagenas

Black holes play an important role in linking microphysics with macrophysics, with those of the Planck mass ($M_P \sim10^{-5}$g) featuring in any theory of quantum gravity. In particular, the Compton-Schwarzschild correspondence posits a…

广义相对论与量子宇宙学 · 物理学 2023-02-27 B. J. Carr

The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts to a theory of quantum gravity and predicts the existence of a minimum length in Nature. In this work, we consider two cosmological models arising from Friedmann…

广义相对论与量子宇宙学 · 物理学 2022-04-12 Serena Giardino , Vincenzo Salzano

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…

广义相对论与量子宇宙学 · 物理学 2025-02-17 Giuseppe Gaetano Luciano , Yassine Sekhmani

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…

高能物理 - 理论 · 物理学 2015-05-14 Benrong Mu , Houwen Wu , Haitang Yang

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…

广义相对论与量子宇宙学 · 物理学 2026-02-09 Bernard Carr , Jonas Mureika

We show that the implications of the generalized uncertainty principle (GUP) in the black hole physics are consistent with the predictions of the corpuscular theory of gravity, in which a black hole is conceived as a Bose-Einstein…

广义相对论与量子宇宙学 · 物理学 2025-03-25 Luca Buoninfante , Giuseppe Gaetano Luciano , Luciano Petruzziello

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…

广义相对论与量子宇宙学 · 物理学 2017-04-18 Dongfeng Gao , Jin Wang , Mingsheng Zhan

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…

广义相对论与量子宇宙学 · 物理学 2019-06-20 Pasquale Bosso

We review highlights from string theory, black hole physics and doubly special relativity and some "thought" experiments which were suggested to probe the shortest distance and/or the maximum momentum at the Planck scale. The models which…

广义相对论与量子宇宙学 · 物理学 2015-08-24 Abdel Nasser Tawfik , Abdel Magied Diab

The Black Hole Uncertainty Principle correspondence proposes a connection between the Uncertainty Principle on microscopic scales and black holes on macroscopic scales. This is manifested in a unified expression for the Compton wavelength…

广义相对论与量子宇宙学 · 物理学 2014-02-07 B. J. Carr

We study coherent states associated to a generalized uncertainty principle (GUP). We separately analyze the cases of positive and negative deformation parameter $\beta$, showing that the ensuing probability distribution is a Tsallis…

广义相对论与量子宇宙学 · 物理学 2023-09-13 Petr Jizba , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

We compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a Generalized Uncertainty Principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the…

高能物理 - 理论 · 物理学 2015-09-30 Fabio Scardigli , Roberto Casadio

According to a number of arguments in quantum gravity, both model-dependent and model-independent, Heisenberg's uncertainty principle is modified when approaching the Planck scale. This deformation is attributed to the existence of a…

广义相对论与量子宇宙学 · 物理学 2023-10-30 Pasquale Bosso , Giuseppe Gaetano Luciano , Luciano Petruzziello , Fabian Wagner

The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It provides a natural transition between the expressions for the Compton wavelength below the Planck…

广义相对论与量子宇宙学 · 物理学 2011-07-05 Bernard Carr , Leonardo Modesto , Isabeau Prémont-Schwarz

A recent study established a correspondence between the Generalized Uncertainty Principle (GUP) and Modified theories of gravity, particularly Stelle gravity. We investigate the consequences of this correspondence for inflation and…

广义相对论与量子宇宙学 · 物理学 2022-11-01 Saurya Das , S. Shankaranarayanan , Vasil Todorinov

We present a procedure to link the deformation parameter $\beta$ of the generalized uncertainty principle (GUP) to the two free parameters $\om$ and $\gamma$ of the running Newtonian coupling constant of the Asymptotic Safe gravity (ASG)…

高能物理 - 理论 · 物理学 2022-07-13 Gaetano Lambiase , Fabio Scardigli

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.…

广义相对论与量子宇宙学 · 物理学 2025-03-25 Jaume Giné , Giuseppe Gaetano Luciano

We propose the generalized uncertainty principle (GUP) with an additional term of quadratic momentum motivated by string theory and black hole physics as a quantum mechanical framework for the minimal length uncertainty at the Planck scale.…

综合物理 · 物理学 2022-10-25 Abdel Magied Diab , Abdel Nasser Tawfik

After a short introduction to the generalized uncertainty principle (GUP), we review some of the physical predictions of the GUP, and we focus in particular on the bounds that present experimental tests can put on the value of the…

高能物理 - 理论 · 物理学 2020-01-08 Fabio Scardigli
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