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The ordinary quantum theory points out that general relativity is negligible for spatial distances up to the Planck scale. Consistency in the foundations of the quantum theory requires a``soft'' spacetime structure of the general relativity…

广义相对论与量子宇宙学 · 物理学 2012-09-13 Peter Leifer

One of the common features in all promising candidates of quantum gravity is the existence of a minimal length scale, which naturally emerges with a generalized uncertainty principle, or equivalently a modified commutation relation.…

高能物理 - 理论 · 物理学 2013-11-04 Jie Gu

The dynamics of a particle in a gravitational quantum well is studied in the context of nonrelativistic quantum mechanics with a particular deformation of a two-dimensional Heisenberg algebra. This deformation yields a new short-distance…

高能物理 - 理论 · 物理学 2008-11-26 F. Brau , F. Buisseret

We discuss time measurement in quantum gravity. Using general relativity for large distances and the uncertainty principle we find a minimum time interval of the order of the Planck time, therefore the uncertainty in time measurment is…

高能物理 - 理论 · 物理学 2009-10-28 N. Itzhaki

The generalized uncertainty principle and a minimum measurable length arise in various theories of gravity and predict Planck-scale modifications of the canonical position-momentum commutation relation. Postulating a similar modified…

广义相对论与量子宇宙学 · 物理学 2018-09-27 Pasquale Bosso , Saurya Das , Robert B. Mann

String theory, quantum geometry, loop quantum gravity and black hole physics all indicate the existence of a minimal observable length on the order of Planck length. This feature leads to a modification of Heisenberg uncertainty principle.…

量子物理 · 物理学 2014-11-18 Kourosh Nozari , Tahereh Azizi

The study of physics at the Planck scale has garnered significant attention due to its implications for understanding the fundamental nature of the universe. At the Planck scale, quantum fluctuations challenge the classical notion of…

广义相对论与量子宇宙学 · 物理学 2024-11-26 Weihu Ma , Yu-Gang Ma

The goal of this paper is to probe phenomenological implications of large fluctuations of quantum geometry in the Planck era, using cosmology of the early universe. For the background (Friedmann, Lema\^{i}tre, Robertson, Walker)…

广义相对论与量子宇宙学 · 物理学 2017-06-21 Ivan Agullo , Abhay Ashtekar , Brajesh Gupt

In this note we generalize the quantum uncertainty relation proposed by Vancea and Santos [7] in the entropic force law, by introducing Planck scale modifications. The latter is induced by the Generalized Uncertainty Principle. We show that…

高能物理 - 理论 · 物理学 2015-03-13 Subir Ghosh

We give an approach for studying quantum gravity effects on black hole thermodynamics. This combines a quantum framework for gravitational collapse with quasi-local definitions of energy and surface gravity. Our arguments suggest that (i)…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Viqar Husain , R. B. Mann

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 review a few topics in Planck-scale physics, with emphasis on possible manifestations in relatively low energy. The selected topics include quantum fluctuations of spacetime, their cumulative effects, uncertainties in energy-momentum…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Y. Jack Ng

Quantum gravity theories predict a minimal length at the order of magnitude of the Planck length, under which the concepts of space and time lose every physical meaning. In quantum mechanics, the insurgence of such minimal length can be…

量子物理 · 物理学 2016-07-08 Matteo A. C. Rossi , Tommaso Giani , Matteo G. A. Paris

We explore the modification of the entropic formulation of uncertainty principle in quantum mechanics which measures the incompatibility of measurements in terms of Shannon entropy. The deformation in question is the type so called…

高能物理 - 理论 · 物理学 2017-08-28 Li-Yi Hsu , Shoichi Kawamoto , Wen-Yu Wen

The claim that at the so-called Planck scale our current physics breaks down and a new theory of quantum gravity is required is ubiquitous, but the evidence is shakier than the confidence of those assertions warrants. In this paper, I…

物理学史与哲学 · 物理学 2025-01-15 Caspar Jacobs

The question of how classical thermodynamic laws emerge from the underlying quantum substrate lies at the foundations of physics. Here, we examine the validity of the ideal gas law (IGL) for a single quantum particle confined within a…

量子物理 · 物理学 2025-07-21 Alejandro M. F Rivas , Eduardo G. Vergini , Leonardo Ermann , Gabriel G. Carlo

The effect of the noise induced by gravitons in the case of a freely falling particle from the viewpoint of an external observer has been recently calculated in \href{https://link.aps.org/doi/10.1103/PhysRevD.107.066024}{Phys. Rev. D 107…

高能物理 - 理论 · 物理学 2024-02-06 Soham Sen , Sunandan Gangopadhyay

According to maximum entropy principle, it has been proved that the gravitational field equations could be derived by the extrema of total entropy for perfect fluid, which implies that thermodynamic relations contain information of gravity.…

广义相对论与量子宇宙学 · 物理学 2018-01-17 Xiongjun Fang , Xiaokai He , Jiliang Jing

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization…

广义相对论与量子宇宙学 · 物理学 2015-05-14 Martin Bojowald

A new idea of quantum gravity is developed based on {\it Gravitational Complementary Principle}. This principle states that gravity has dual complement features: The quantum and classical aspects of gravity are complement and absolutely…

高能物理 - 唯象学 · 物理学 2007-05-23 F. Darabi