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We propose two higher order generalized uncertainty principles(GUPs) which predict a minimum uncertainty in momentum and apply the deformations that they entail of the Heisenberg algebra to one half of the phase space of the LRS Bianchi I…

广义相对论与量子宇宙学 · 物理学 2020-12-01 Daniel Berkowitz

For the Fermi gas filling the space inside a cubic cavity of a fixed volume, at arbitrary temperatures and number of particles, the thermodynamic characteristics are calculated, namely: entropy, thermodynamic potential, energy, pressure,…

量子物理 · 物理学 2024-08-08 Yu. M. Poluektov , A. A. Soroka

Fermi's Golden Rule (FGR) applies in the limit where an initial quantum state is weakly coupled to a {\it continuum} of other final states overlapping its energy. Here we investigate what happens away from this limit, where the set of final…

量子物理 · 物理学 2022-10-26 Tobias Micklitz , Alan Morningstar , Alexander Altland , David A. Huse

The effects of the generalized uncertainty principle({\bf GUP}) on the cosmological constant problem are discussed in the Schwarzchild-deSitter spacetime, through studying the corrections to its thermodynamics. We derive the correction to…

高能物理 - 理论 · 物理学 2014-11-18 Li Xiang , Y. G. Shen

We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known…

量子气体 · 物理学 2021-12-06 Valeriia Bilokon , Elvira Bilokon , Alexander Peletminskii , Andrii Sotnikov

We propose a quantum model of the Schwarzschild black hole as a quantum mechanics of a system of fermionic degrees of freedom. The system has a constant density of states and a Fermi energy that is inversely proportional to the size of the…

高能物理 - 理论 · 物理学 2024-08-06 Chong-Sun Chu , Rong-Xin Miao

We discuss the nature of phase transitions in the self-gravitating Fermi gas at non-zero temperature. This study can be relevant for massive neutrinos in Dark Matter models and for collisionless self-gravitating systems experiencing a…

天体物理学 · 物理学 2007-05-23 P. H. Chavanis

Physically based changes to general relativity (GR) often predict significant differences in how spacetime behaves near massive neutron stars. One of these modifications is represented by $f(\mathcal{Q}, { \mathcal{T}})$, with $\mathcal{Q}$…

广义相对论与量子宇宙学 · 物理学 2024-10-21 G. G. L. Nashed , Tiberiu Harko

The Thomas-Fermi model at finite temperature is extended to describe a system of self-gravitating weakly interacting massive fermions in a general-relativistic framework. By cooling a nondegenerate gas of weakly interacting massive fermions…

高能物理 - 唯象学 · 物理学 2011-09-13 Neven Bilic , Raoul D. Viollier

The low energy effective theory of gravity comprises two elements of quantum theory joined to classical general relativity. The first is the quantum conformal anomaly, which is responsible for macroscopic correlations on light cones and a…

广义相对论与量子宇宙学 · 物理学 2025-02-05 Emil Mottola

Various recent theoretical investigations suggest that gravitational collapse of white dwarfs is withheld for arbitrarily high masses if the equation of state is described by the generalized uncertainty principle (GUP). There have been a…

广义相对论与量子宇宙学 · 物理学 2021-06-14 Arun Mathew , Malay Kumar Nandy

We calculate the free energy, entropy and pressure of the Quark Gluon Plasma (QGP) at finite temperature and density with a given fraction of spin-up and spin-down quarks using a MIT bag model with corrections up to ${\cal O} (g^4 \ln…

高能物理 - 唯象学 · 物理学 2015-02-09 Kausik Pal

A series of aspects of the quantum gravity predict a modification in the Heisenberg uncertainty principle to the generalized uncertainty principle (GUP). In the present work, using the momentum space representation, we study the behavior of…

高能物理 - 理论 · 物理学 2018-08-01 Bing-Qian Wang , Zheng-Wen Long , Chao-Yun Long , Shu-Rui Wu

The existence of a minimal length is a common prediction of various theories of quantum gravity. This minimal length leads to a modification of the Heisenberg uncertainty principle to a Generalized Uncertainty Principle (GUP). Various…

广义相对论与量子宇宙学 · 物理学 2015-11-05 Ahmed Farag Ali , Mohammed M. Khalil , Elias C. Vagenas

The Generalized Uncertainty Principle (GUP) has been discussed in the thick braneworld scenario. By considering Rydberg atoms in this background, we show that the spacetime geometry affects Maxwell equations inducing an effective dielectric…

高能物理 - 理论 · 物理学 2023-05-08 A. S. Lemos , F. A. Brito

Generalized uncertainty relation that carries the imprint of quantum gravity introduces a minimal length scale into the description of space-time. It effectively changes the invariant measure of the phase space through a factor $(1+\beta…

广义相对论与量子宇宙学 · 物理学 2018-04-24 Arun Mathew , Malay K. Nandy

The thermodynamic and transport properties of the unitary Fermi gas at finite temperature T are governed by a quantum critical point at T=0 and zero density. We compute the universal shear viscosity to entropy ratio \eta/s in the…

量子气体 · 物理学 2012-07-16 Tilman Enss

Quantum gravity may shed light on the prehistory of the universe. Quantum corrections to gravity affect the dynamics of the expansion of the universe. Their influence is studied on the example of the exactly solvable quantum model. The…

广义相对论与量子宇宙学 · 物理学 2019-11-05 V. E. Kuzmichev , V. V. Kuzmichev

We investigate how an equation of state for matter is affected when a gravity is present. For this purpose, we consider a box of ideal gas in the presence of Newtonian gravity. In addition to the ordinary thermodynamic quantities, a…

广义相对论与量子宇宙学 · 物理学 2017-04-18 Hyeong-Chan Kim , Gungwon Kang

This article shows in detail the computations made for the poster presented at the Symposium "Frontiers of Fundamental Physics" in July 2014. As was shown in a previous publication, a quantum gravity formulation exists on the basis of…

广义相对论与量子宇宙学 · 物理学 2015-01-05 Pierre-André Mandrin