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A large class of quantum theories of gravity show that the Heisenberg's uncertainty principle is modified to the "Generalised Uncertainty Principle" (GUP) near the Planckian scale. It has also been shown that the GUP induces perturbative…

广义相对论与量子宇宙学 · 物理学 2021-08-12 Ashmita Das , Saurya Das , Elias C. Vagenas

Existence of minimal length is suggested in any quantum theory of gravity such as string theory, double special relativity and black hole physics. One way to impose minimal length is deforming Heisenberg algebra in phase space which is…

广义相对论与量子宇宙学 · 物理学 2012-10-18 B. Vakili , M. A. Gorji

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…

广义相对论与量子宇宙学 · 物理学 2022-08-24 Pasquale Bosso , Juan Manuel López Vega

We analyze the blackbody radiation problem in the presence of quantum gravity effects encoded in modified dispersion relations. The spectral radiance and the generalized Stefan-Boltzmann law are studied in this context. Furthermore, the…

广义相对论与量子宇宙学 · 物理学 2024-11-06 R. Turcati , I. Soares , S. B. Duarte

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…

高能物理 - 理论 · 物理学 2016-11-02 R. Bufalo

We analyze the problem of black body radiation in the presence of quantum gravity effects encoded in modified dispersion relations and in a model universe with large extra dimensions. In this context, modified form of Planck distribution,…

高能物理 - 理论 · 物理学 2018-01-09 Kourosh Nozari , S. F. Anvari , A. S. Sefiedgar

Various theories of quantum gravity predict the existence of a minimum length scale, which implies the Planck-scale modifications of the Heisenberg uncertainty principle to a so-called generalized uncertainty principle (GUP). Previous…

广义相对论与量子宇宙学 · 物理学 2017-04-28 Dongfeng Gao , Mingsheng Zhan

Different candidates of Quantum Gravity such as String Theory, Doubly Special Relativity, Loop Quantum Gravity and black hole physics all predict the existence of a minimum observable length or a maximum observable momentum which modifies…

高能物理 - 理论 · 物理学 2010-11-30 Pouria Pedram

Quantum gravity effects modify the Heisenberg's uncertainty principle to a generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the Schr\"odinger equation, when applied to a non-relativistic…

广义相对论与量子宇宙学 · 物理学 2016-02-04 Soumen Deb , Saurya Das , Elias C. Vagenas

All possible theories of quantum gravity suggest the existence of a minimal length. As a consequence, the usual Heisenberg Uncertainty Principle (HUP) is replaced by a more general uncertainty principle known as the Generalised Uncertainty…

量子物理 · 物理学 2023-10-27 Sheikh Riasat , Bhabani Prasad Mandal

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

Various candidates of quantum gravity such as string theory, loop quantum gravity and black hole physics all predict the existence of a minimum observable length which modifies the Heisenberg uncertainty principle to so-called Generalized…

高能物理 - 理论 · 物理学 2015-03-19 Pouria Pedram

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…

广义相对论与量子宇宙学 · 物理学 2023-01-02 B. C. Lütfüoğlu , B. Hamil , L. Dahbi

A Kantowski-Sachs model with a modified quantization prescription is considered. Such quantization rules, inspired by the so-called Generalized Uncertainty Principle (GUP), correspond to a modified commutation relation between…

广义相对论与量子宇宙学 · 物理学 2020-02-06 Pasquale Bosso , Octavio Obregón

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

Physical research looks for clues to quantum properties of the gravitational field. On the basis of the common Schr\"odinger theory, a simple model of the quantization of a Friedmann universe comprising dust and radiation is investigated.…

广义相对论与量子宇宙学 · 物理学 2014-09-17 Rainer Collier

In this Letter we study the effects of the Modified Uncertainty Principle as proposed in Ali et al. (2009) [5] in simple quantum mechanical systems and study its thermodynamic properties. We have assumed that the quantum particles follow…

广义相对论与量子宇宙学 · 物理学 2012-10-10 Barun Majumder , Sourav Sen

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…

高能物理 - 理论 · 物理学 2025-02-26 Nana Cabo Bizet , Octavio Obregón , Wilfredo Yupanqui Carpio

The blackbody radiation is analyzed in universes with $D$ spatial dimensions. With the classical electrodynamics suited to the universe in focus and recurring to the hyperspherical coordinates, it is shown that the spectral energy density…

量子物理 · 物理学 2007-05-23 Tatiana R. Cardoso , Antonio S. de Castro

Various approaches to Quantum Gravity (such as String Theory and Doubly Special Relativity), as well as black hole physics predict a minimum measurable length, or a maximum observable momentum, and related modifications of the Heisenberg…

高能物理 - 理论 · 物理学 2009-07-29 Ahmed Farag Ali , Saurya Das , Elias C. Vagenas
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