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The intrinsic geometric degree of freedom that was proposed to determine the optimal correlation energy of the fractional quantum Hall states, is analyzed for quantum confined planar electron systems. One major advantage in this case is…

介观与纳米尺度物理 · 物理学 2014-03-27 Areg Ghazaryan , Tapash Chakraborty

All existing treatments of bimetric MOND (BIMOND) -- a class of relativistic versions of MOND -- have dealt with a rather restricted sub-class: The Lagrangian of the interaction between the gravitational degrees of freedom -- the two…

广义相对论与量子宇宙学 · 物理学 2025-10-24 Mordehai Milgrom

The issue of black hole entropy is reexamined within a finite lattice framework along the lines of Wheeler, 't Hooft and Susskind, with an additional criterion to identify physical horizon states contributing to the entropy. As a…

高能物理 - 理论 · 物理学 2007-05-23 Parthasarathi Majumdar

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed…

高能物理 - 理论 · 物理学 2019-12-30 Tatsuma Nishioka

Black hole entropy appears to be ``universal''--many independent calculations, involving models with very different microscopic degrees of freedom, all yield the same density of states. I discuss the proposal that this universality comes…

广义相对论与量子宇宙学 · 物理学 2010-04-28 S. Carlip

In the Loop Quantum Gravity, black holes (or even more general Isolated Horizons) are described by a SU(2) Chern-Simons theory. There is an equivalent formulation of the horizon degrees of freedom in terms of a U(1) gauge theory which is…

广义相对论与量子宇宙学 · 物理学 2012-02-09 Romesh K. Kaul

A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon. It is shown that the entropy of a large…

广义相对论与量子宇宙学 · 物理学 2009-10-30 A. Ashtekar , J. Baez , A. Corichi , K. Krasnov

Practically all the full-fledged MOND theories propounded to date are of the modified-gravity (MG) type: they modify only the Newtonian, Poisson action of the gravitational potential, or the general-relativistic Einstein-Hilbert action,…

星系天体物理 · 物理学 2023-11-17 Mordehai Milgrom

A simple derivation of the bound on entropy is given and the holographic principle is discussed. We estimate the number of quantum states inside space region on the base of uncertainty relation. The result is compared with the Bekenstein…

广义相对论与量子宇宙学 · 物理学 2015-06-25 M. G. Ivanov , I. V. Volovich

This paper investigates the entanglement entropy inequality and explores the presentation of mutual information and conditional mutual information in kinematic space. Specifically, we examine the regions within kinematic space responsible…

高能物理 - 理论 · 物理学 2023-05-26 An Gong , Chong-Bin Chen , Fu-Wen Shu

We consider the quantum gravity partition function that counts the dimension of the Hilbert space of a spatial region with topology of a ball and fixed proper volume, and evaluate it in the leading order saddle point approximation. The…

高能物理 - 理论 · 物理学 2023-10-03 Ted Jacobson , Manus R. Visser

We obtain the statistical entropy of a scalar field on the Schwarzschild black hole in holographic massive gravity by considering corrections on the density of quantum states to all orders in the Planck length from a generalized uncertainty…

广义相对论与量子宇宙学 · 物理学 2023-11-22 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

We show that the Modified Newtonian Dynamics (MOND) regime can be fully recovered as the weak-field limit of a particular theory of gravity formulated in the metric approach. This is possible when Milgrom's acceleration constant is taken as…

广义相对论与量子宇宙学 · 物理学 2015-06-04 S. Mendoza , T. Bernal , J. C. Hidalgo , S. Capozziello

Under carefully chosen assumptions a single general relativistic scalar field is able to induce MOND-like dynamics in the weak field approximation of the Einstein frame (gauge) and to modify the light cone structure accordingly. This is…

广义相对论与量子宇宙学 · 物理学 2025-12-10 Erhard Scholz

We argue that a unitary description of the formation and evaporation of a black hole implies that the Bekenstein-Hawking entropy is the "entropy of a vacuum": the logarithm of the number of possible independent ways in which quantum field…

高能物理 - 理论 · 物理学 2014-11-11 Yasunori Nomura , Sean J. Weinberg

We discuss implications that result from the acceptance of MOND parameter $a_M$ as the third fundamental constant of nature in addition to $c$ and $h$. To this aim we use the concept of Newtonian triangle in the $(log(r),~ log(m))$ plane…

综合物理 · 物理学 2022-02-08 Piotr Zenczykowski

Starting from an important research path, we consider gravity as a collective phenomenon governed by statistical mechanics. While previous studies have focussed on the thermodynamic heat flow across a 2d-horizon as perceived by a single,…

广义相对论与量子宇宙学 · 物理学 2018-04-12 Pierre A Mandrin

We compute change in entanglement entropy for a single interval in $1+1$ dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free CFT by a primary operator with…

高能物理 - 理论 · 物理学 2017-12-29 Pinaki Banerjee , Atanu Bhatta , B. Sathiapalan

Modified Newtonian dynamics (MOND) is an empirical theory originally proposed to explain the rotation curves of spiral galaxies by modifying the gravitational acceleration, rather than by invoking dark matter. Here,we set constraints on…

星系天体物理 · 物理学 2015-10-28 Fabio Iocco , Miguel Pato , Gianfranco Bertone

We adopt the point of view that (Riemannian) classical and (loop-based) quantum descriptions of geometry are macro- and micro-descriptions in the usual statistical mechanical sense. This gives rise to the notion of geometrical entropy,…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Kirill V. Krasnov