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A profound quantum-gravitational effect of space-time dimension running with respect to the size of space-time region has been discovered a few years ago through the numerical simulations of lattice quantum gravity in the framework of…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Michael Maziashvili

Hyperentanglement --- simultaneous entanglement between multiple degrees of freedom of two or more systems --- has been used to enhance quantum information tasks such as quantum communication and photonic quantum computing. Here we show…

Quantum Physics · Physics 2018-01-17 S. P. Walborn , A. H. Pimentel , L. Davidovich , R. L. de Matos Filho

I discuss a novel MOND effect that entails a correction to the dynamics of isolated mass systems even when they are deep in the Newtonian regime: systems whose extent R<<Rm, where Rm=sqrt(GM/a0) is the MOND radius, and M the total mass.…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-24 Mordehai Milgrom

From the viewpoint of local quantum field theory, this letter investigates the high-order corrections to the holographic entropy bound. As a result, the logarithmic correction term appears naturally with the definite coefficient $-{1/2}$,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yi Ling , Hongbao Zhang

The position and momentum space information entropies for the Morse potential are numerically obtained for different strengths of the potential. It is found to satisfy the bound obtained by Beckner, Bialynicki-Birula, and Mycielski.…

Quantum Physics · Physics 2008-02-13 Ekrem Aydiner , Cenk Orta , Ramazan Sever

It is believed that a primary principle of the theory of quantum gravity is the Holographic Principle according to which a physical system can be described only by degrees of freedom living on its boundary. The generalized covariant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Per , A. Segui

We discuss the physical interpretation of the gravity mediated entanglement effect. We show how to read it in terms of quantum reference systems. We pinpoint the single gravitational degree of freedom mediating the entanglement. We clarify…

Quantum Physics · Physics 2023-02-08 Marios Christodoulou , Andrea Di Biagio , Richard Howl , Carlo Rovelli

Understanding the dependence of entanglement entropy on the renormalized mass in quantum field theories can provide insight into phenomena such as quantum phase transitions, since the mass varies in a singular way near the transition. Here…

High Energy Physics - Theory · Physics 2012-12-11 Mark P. Hertzberg

Moderhai Milgrom's Modified Newtonian Dynamics (MOND) correction to Newtonian gravity or inertia is shown to be equivalent to a more fundamental formulation considering a non-inertial local reference frame and the fixed background of the…

General Physics · Physics 2026-01-08 Manuel Uruena Palomo

We discuss how holographic bounds can be applied to the quantum fluctuations of the inflaton. In general the holographic principle will lead to a bound on the UV cutoff scale of the effective theory of inflation, but it will depend on the…

High Energy Physics - Theory · Physics 2009-11-10 Esko Keski-Vakkuri , Martin S. Sloth

The entropy functional formalism allows one to recover general relativity, modified gravity theories, as well as the Bekenstein-Hawking entropy formula. In most approaches to quantum gravity, the Bekenstein-Hawking's entropy formula…

General Relativity and Quantum Cosmology · Physics 2016-06-24 Fayçal Hammad , Mir Faizal

We analyze the question of possible quantum corrections in the entropic scenario of emergent gravity. Using a fuzzy sphere as a natural quasiclassical approximation for the spherical holographic screen, we analyze whether it is possible to…

High Energy Physics - Theory · Physics 2013-09-25 C. M. Gregory , A. Pinzul

Recently proposed ``table-top tests of quantum gravity'' involve creating, separating and recombining superpositions of masses at non-relativistic speeds. The general expectation is that these generate superpositions of gravitational fields…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Adrian Kent

We propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a "quantum extremal surface": a surface which extremizes the generalized entropy, i.e. the sum of area…

High Energy Physics - Theory · Physics 2015-10-27 Netta Engelhardt , Aron C. Wall

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

Statistical Mechanics · Physics 2015-05-20 Andre M. C. Souza

Considering the general quantum corrections to the area law of black hole entropy and adopting the viewpoint that gravity interprets as an entropic force, we derive the modified forms of MOND theory of gravitation and Einstein field…

High Energy Physics - Theory · Physics 2011-04-25 S. H. Hendi , A. Sheykhi

We show that treating gravitation as a thermodynamical theory leads to the modified Newton dynamics (MOND) equations if one takes into account the Hubble's expansion. Then the universal MOND acceleration a0 is exactly twice the product of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Peter V. Pikhitsa

There is a class of higher derivative gravity theories that are in some sense natural extensions of cosmological Einstein's gravity with a unique maximally symmetric classical vacuum and only a massless spin-2 excitation about the vacuum…

High Energy Physics - Theory · Physics 2018-01-08 Gokcen Deniz Ozen , Sahin Kurekci , Bayram Tekin

Geometric quantum mechanics, through its differential-geometric underpinning, provides additional tools of analysis and interpretation that bring quantum mechanics closer to classical mechanics: state spaces in both are equipped with…

Quantum Physics · Physics 2024-05-08 Fabio Anza , James P. Crutchfield

The holographic bound that the entropy (log of number of quantum states) of a system is bounded from above by a quarter of the area of a circumscribing surface measured in Planck areas is widely regarded a desideratum of any fundamental…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein