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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

We study the dynamical consequences of Maggiore's unique generalised uncertainty principle (GUP). We find that it leads naturally, and generically, to novel consequences. In the high temperature limit, there is a drastic reduction in the…

高能物理 - 理论 · 物理学 2009-11-07 S. Kalyana Rama

Almost all theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). Recently it was shown that the GUP gives rise to corrections…

高能物理 - 理论 · 物理学 2015-05-30 Saurya Das , R. B. Mann

In the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a…

广义相对论与量子宇宙学 · 物理学 2025-08-21 João Gabriel Galli Gimenez , Dimiter Hadjimichef , Peter O. Hess , Marcelo Netz-Marzola , César A. Zen Vasconcellos

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…

高能物理 - 理论 · 物理学 2014-11-04 Fatemeh Ahmadi , Jafar Khodagholizadeh

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…

高能物理 - 理论 · 物理学 2025-03-25 Massimo Blasone , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello , Fabio Scardigli

The generalized uncertainty principle (GUP) is a phenomenological model whose purpose is to account for a minimal length scale (e.g., Planck scale or characteristic inverse-mass scale in effective quantum description) in quantum systems. In…

高能物理 - 理论 · 物理学 2022-06-28 Petr Jizba , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

In this paper, we study tidal forces in the Schwarzschild black hole whose metric includes explicitly a generalized uncertainty principle (GUP) effect. We also investigate interesting features of the geodesic equations and tidal effects…

广义相对论与量子宇宙学 · 物理学 2024-06-04 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

This paper proposes a new high-order generalized uncertainty principle, which can modify the momentum operator and position operator simultaneously. Moreover, the new form of GUP is consistent with the viewpoint of the existence of the…

量子物理 · 物理学 2020-08-06 Zi-Long Zhao , Qi-Kang Ran , Hassan Hassanabadi , Yi Yang , Hao Chen , Zheng-Wen Longa

A crucial step in the operation of the Szilard engine is the isothermal expansion of a single particle system. This expansion, seemingly a natural consequence, is unable to proceed when the piston is considered appropriately to be a thermal…

经典物理 · 物理学 2014-11-03 Quanmin Guo

We show that the existence of a minimum measurable length and the related Generalized Uncertainty Principle (GUP), predicted by theories of Quantum Gravity, influence all quantum Hamiltonians. Thus, they predict quantum gravity corrections…

高能物理 - 理论 · 物理学 2008-12-18 Saurya Das , Elias C. Vagenas

A maximun acceleration analysis by Pati dating back to 1992 is here improved by replacing the traditional Heisenberg Uncertainty Principle (HUP) with the Generalized Uncertainty Principle (GUP), which predicts the existence of a minimum…

广义相对论与量子宇宙学 · 物理学 2025-11-21 Christian Corda , Carlo Cafaro , Newshaw Bahreyni

We investigate an extension of the Generalized Uncertainty Principle (GUP) in three dimensions by modifying the three dimensional position and momentum operators in a manner that remains coordinate-independent and retains as much of the…

量子物理 · 物理学 2023-07-12 Michael Bishop , Joey Contreras , Peter Martin , Piero Nicolini , Douglas Singleton

We propose a heuristic derivation of Casimir effect in the context of minimal length theories based on a Generalized Uncertainty Principle (GUP). By considering a GUP with only a quadratic term in the momentum, we compute corrections to the…

高能物理 - 理论 · 物理学 2025-03-25 Massimo Blasone , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello , Fabio Scardigli

The non-zero minimal length arises in various theories of gravity, leading to the so-called generalized uncertainty principle (GUP). In this short paper we analyze the GUP effects on neutron interferometry, showing that the obtained phase…

广义相对论与量子宇宙学 · 物理学 2021-11-02 Fabiano Feleppa , Hooman Moradpour , Christian Corda , Sarah Aghababaei

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

Inspired by the generalized uncertainty principle (GUP), which adds gravitational effects to the standard description of quantum uncertainty, we extend the exact uncertainty principle (EUP) approach by Hall and Reginatto [J. Phys. A: Math.…

量子物理 · 物理学 2016-09-21 Łukasz Rudnicki

We investigate the thermodynamics of the Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle (GUP). The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the…

高能物理 - 理论 · 物理学 2016-09-20 Z. W. Feng , H. L. Li , X. T. Zu , S. Z. Yang

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

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…

广义相对论与量子宇宙学 · 物理学 2021-08-12 Pasquale Bosso , Saurya Das , Vasil Todorinov