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This paper addresses the effect of generalized uncertainty principle, emerged by a different approaches of quantum gravity within Planck scale, on thermodynamic properties of photon, non-relativistic ideal gases and degenerate fermions. A…

综合物理 · 物理学 2015-12-15 Mohamed Moussa

We extend significantly previous works on the Hilbert space representations of the Generalized Uncertainty Principle (GUP) in 3+1 dimensions of the form $[X_i,P_j] = i F_{ij}$ where $ F_{ij} = f(P^2) \delta_{ij} + g(P^2) P_i P_j $ for any…

广义相对论与量子宇宙学 · 物理学 2017-03-22 Jean-Philippe Bruneton , Julien Larena

We compare in some detail Polymer Quantum Mechanics and the Generalized Uncertainty Principle approach to clarify to what extent we can treat them on the same footing. We show that, while on a semiclassical level they may be formulated as…

广义相对论与量子宇宙学 · 物理学 2022-05-20 Gabriele Barca , Eleonora Giovannetti , Giovanni Montani

We study the effects of the existence of a minimal observable length in the phase space of classical and quantum de Sitter (dS) and Anti de Sitter (AdS) cosmology. Since this length has been suggested in quantum gravity and string theory,…

广义相对论与量子宇宙学 · 物理学 2009-08-25 Babak Vakili

In this work, we consider effects of the dynamical vacuum in quantum cosmology in presence of a minimum length introduced by the GUP (generalized uncertainty principle) related to the modified commutation relation $[\hat{X},\hat{P}] :=…

广义相对论与量子宇宙学 · 物理学 2021-05-05 M. F. Gusson , A. Oakes O. Gonçalves , R. G. Furtado , J. C. Fabris , J. A. Nogueira

We explore how the quantum entanglement is modified in the generalized uncertainty principle (GUP)-corrected quantum mechanics by introducing the coupled harmonic oscillator system. Constructing the ground state $\rho_0$ and its reduced…

量子物理 · 物理学 2022-04-06 DaeKil Park

Inspired by the entropy-area relation of black hole thermodynamics, we study the thermodynamics of cosmological apparent horizon in a spatially flat Friedmann-Robertson-Walker (FRW) universe in the framework of an Extended Uncertainty…

广义相对论与量子宇宙学 · 物理学 2024-08-29 Maryam Roushan , Narges Rashidi , Kourosh Nozari

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…

广义相对论与量子宇宙学 · 物理学 2022-10-26 Matthew J. Lake

Based on the entropy-area relation from Nouicer's generalised uncertainty principle (GUP), we derive the GUP modified Friedmann equations from the first law of thermodynamics at apparent horizon. We find a minimum apparent horizon due to…

广义相对论与量子宇宙学 · 物理学 2024-04-30 Özgür Ökcü

In this paper we study the effect of the Generalized Uncertainty Principle (GUP) on the shadow of GUP-modified Kerr black hole and the correspondence between the shadow radius and the real part of the quasinormal modes (QNMs). We find that…

广义相对论与量子宇宙学 · 物理学 2022-04-11 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Tao Zhu

In this letter, we show that the dimensionless parameter in the generalized uncertainty principle (GUP) can be constrained by the gravitational wave event GW150914, which was discovered by the LIGO Scientific and Virgo Collaborations.…

高能物理 - 唯象学 · 物理学 2017-03-06 Zhong-Wen Feng , Shu-Zheng Yang , Hui-Ling Li , Xiao-Tao Zu

We find exact energy eigenvalues and eigenfunctions of the quantum bouncer in the presence of the minimal length uncertainty and the maximal momentum. This form of Generalized (Gravitational) Uncertainty Principle (GUP) agrees with various…

高能物理 - 理论 · 物理学 2014-05-19 Pouria Pedram

Degenerate geometrical configurations in quantum gravity are important to understand if the fate of classical singularities is to be revealed. However, not all degenerate configurations arise on an equal footing, and one must take into…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Martin Bojowald

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

Quantum gravity has matured over the last decade to a theory which can tell in a precise and explicit way how cosmological singularities of general relativity are removed. A branch of the universe "before" the classical big bang is obtained…

天体物理学 · 物理学 2007-05-23 Martin Bojowald

The very early universe provides the best arena we currently have to test quantum gravity theories. The success of the inflationary paradigm in accounting for the observed inhomogeneities in the cosmic microwave background already…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Abhay Ashtekar

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…

广义相对论与量子宇宙学 · 物理学 2024-10-23 S. Ahmadi , E. Yusofi , M. A. Ramzanpour

We show that the Equivalence Principle (EP) is violated by Quantum Gravity (QG) effects. The predicted violations are compared to experimental observations for Gravitational Redshift, Law of Reciprocal Action and Universality of Free Fall.…

广义相对论与量子宇宙学 · 物理学 2015-06-15 Subir Ghosh

In this paper, we study the effects of Generalized Uncertainty Principle(GUP) and Modified Dispersion Relations(MDRs) on the thermodynamics of ultra-relativistic particles in early universe. We show that limitations imposed by GUP and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Kourosh Nozari , Behnaz Fazlpour

The charged black hole thermodynamics is corrected in terms of the quantum gravity effects. Most of the quantum gravity theories support the idea that near the Planck scale, the standard Heisenberg uncertainty principle should be…

高能物理 - 理论 · 物理学 2016-08-16 N. Abbasvandi , M. J. Soleimani , Shahidan Radiman , W. A. T. Wan Abdullah
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