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We present a formulation of the generalised uncertainty principle based on commutator $\left[ {\hat x}^i, {\hat p}_j \right]$ between position and momentum operators defined in a covariant manner using normal coordinates. We show how any…

General Relativity and Quantum Cosmology · Physics 2022-05-19 Raghvendra Singh , Dawood Kothawala

The non-relativistic quantum mechanics with a generalized uncertainty principle (GUP) is examined in $D$-dimensional free particle and harmonic oscillator systems. The Feynman propagators for these systems are exactly derived within the…

Quantum Physics · Physics 2020-05-20 DaeKil Park

We explore a connection between generalized uncertainty principle (GUP) and modified Ho\v{r}ava-Lifshitz (HL) gravity. The GUP density function may be replaced by the cutoff function for the renormalization group of modified…

High Energy Physics - Theory · Physics 2009-10-16 Yun Soo Myung

We investigate the Generalized Uncertainty Principle (GUP) effect on the Hawking temperature for the 2+1 dimensional New-type black hole by using the quantum tunneling method for both the spin-1/2 Dirac and the spin-0 scalar particles. In…

General Relativity and Quantum Cosmology · Physics 2018-09-27 Ganim Gecim , Yusuf Sucu

We investigate the impacts of Generalized Uncertainty Principle (GUP) proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity on black hole thermodynamics and Salecker-Wigner inequalities.…

General Relativity and Quantum Cosmology · Physics 2013-07-26 A. Tawfik

The Unruh effect has been investigated from the point of view of the quantum statistical Zubarev density operator in space with the Minkowski metric. Quantum corrections of the fourth order in acceleration to the energy-momentum tensor of…

High Energy Physics - Theory · Physics 2020-04-22 Georgy Y. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

We compute Wigner functions for the harmonic oscillator including corrections from generalized uncertainty principles (GUPs), and study the corresponding marginal probability densities and other properties. We show that the GUP corrections…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Saurya Das , Matthew P. G. Robbins , Mark A. Walton

We identify the relativistic-fluid counterpart of the Unruh effect, in which a comoving probe measures a Thermodynamic Unruh temperature. Frame changes in first-order hydrodynamics are recast as a local, time-dependent hyperbolic rotation…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Eren Erberk Erkul

We outline a new model in which generalised uncertainty relations are obtained without modified commutation relations. While existing models introduce modified phase space volumes for the canonical degrees of freedom, we introduce new…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Matthew J. Lake

We study the thermodynamics of various physical systems in the framework of the Generalized Uncertainty Principle that implies a minimal length uncertainty proportional to the Planck length. We present a general scheme to analytically…

High Energy Physics - Theory · Physics 2014-08-12 M. Abbasiyan-Motlaq , Pouria Pedram

Many theories that attempt to formulate a quantum description of gravity suggest the existence of a fundamental minimum length scale. A popular method for incorporating this minimum length is through a modification of the Heisenberg…

General Relativity and Quantum Cosmology · Physics 2025-06-18 William M. Campbell , Michael E. Tobar , Serge Galliou , Maxim Goryachev

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg Uncertainty Principle near the Plank scale, known as the Generalized Uncertainty Principle (GUP). Here we…

High Energy Physics - Theory · Physics 2014-11-04 Fatemeh Ahmadi , Jafar Khodagholizadeh

We study the estimation of parameters in a quantum metrology scheme based on entangled many-body Unruh-DeWitt detectors. It is found that the precision for the estimation of Unruh effect can be enhanced via initial state preparations and…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Jieci Wang , Li Zhang , Songbai Chen , Jiliang Jing

Motivated by recent works, we employ the bounds on the dimensionless quantum-gravity parameter obtained from six gravitational tests in order to obtain bounds on the dimensionless parameter of the generalized uncertainty principle with…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Mohammed Hemeda , Hassan Alshal , Ahmed Farag Ali , Elias C. Vagenas

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…

High Energy Physics - Theory · Physics 2010-11-30 Pouria Pedram

Significant evidence is available to support the quantum effects of gravity that leads to the generalized uncertainty principle (GUP) and the minimum observable length. Usually quantum mechanics, statistical physics doesn't take gravity…

Quantum Gases · Physics 2020-06-24 Ya-ting Wang , He-ling Li

Recently, the authors presented a covariant extension of the Generalized Uncertainty Principle (GUP) with a Lorentz invariant minimum length. This opens the way for constructing and exploring the observable consequences of minimum length in…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Pasquale Bosso , Saurya Das , Vasil Todorinov

In this work we consider the ontological status of the Unruh effect. Is it just a formal mathematical result? Or the temperature detected by an accelerating observer can lead to real physical effects such as phase transition. In order to…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Antonio Dobado

We discuss classical electrodynamics and the Aharonov-Bohm effect in the presence of the minimal length. In the former we derive the classical equation of motion and the corresponding Lagrangian. In the latter we adopt the generalized…

Quantum Physics · Physics 2021-07-07 DaeKil Park

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
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