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We provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory's phase space. If this…

High Energy Physics - Theory · Physics 2024-12-04 Artem Averin

We show that in the standard derivation of the holographic dark energy some conceptual issues are present. In particular, the formula used in the literature to avoid black holes is not suitable in expanding universes. A more suitable…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Stefano Viaggiu

We show that Renyi entropies of subregions can be used to distinguish when the entire system is in a microcanonical ensemble from when it is in a canonical ensemble, at least in theories holographically dual to gravity. Simple expressions…

High Energy Physics - Theory · Physics 2019-02-06 Xi Dong

We study a generalized holographic dark energy model in which the infrared cutoff depends on the Hubble parameter and its first two time derivatives. The inclusion of the $\ddot H$ term introduces a finite relaxation timescale for the…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Swapnil Kumar Singh

We present a simple derivation of the entanglement entropy for a region made up of a union of disjoint intervals in 1+1 dimensional quantum field theories using holographic techniques. This generalizes the results for 1+1 dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Veronika E. Hubeny , Mukund Rangamani

Motivated by the holographic prescriptions for computing entanglement entropy and complexity, we study the properties of volumes/areas of bulk surfaces. We obtain a simple formula for the shape dependence of holographic entanglement entropy…

High Energy Physics - Theory · Physics 2017-10-02 Dean Carmi

The Cohen-Kaplan-Nelson bound is imposed on the grounds of logical consistency (with classical General Relativity) upon local quantum field theories. This paper puts the bound into the context of a thermodynamic principle applicable to a…

High Energy Physics - Theory · Physics 2022-02-21 Satish Ramakrishna

The holographic prescription for computing entanglement entropy requires that the bulk extremal surface, whose area encodes the amount of entanglement, satisfies a homology constraint. Usually this is stated as the requirement of a…

High Energy Physics - Theory · Physics 2015-06-11 Felix M. Haehl , Thomas Hartman , Donald Marolf , Henry Maxfield , Mukund Rangamani

It has been proposed that the entropy of any object must satisfy fundamental (holographic or Bekenstein) bounds set by the object's size and perhaps its energy. However, most discussions of these bounds have ignored the possibility that…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf , Rafael Sorkin

The vacuum entanglement entropy in quantum field theory provides nonperturbative information about renormalization group flows. Most studies so far have focused on the universal terms, related to the Weyl anomaly in even space-time…

High Energy Physics - Theory · Physics 2023-01-24 Lucas Daguerre , Matias Ginzburg , Gonzalo Torroba

We reexamine cosmological applications of the holographic energy density in the framework of sourced Friedmann equations. This framework is suitable because it can accommodate a macroscopic interaction between holographic and ordinary…

High Energy Physics - Theory · Physics 2010-04-05 Yun Soo Myung

We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and…

High Energy Physics - Theory · Physics 2021-08-18 Nikolaos Tetradis

Spacetime is foamy due to quantum fluctuations. Various gedanken experiments show that distances fluctuate by amounts consistent with the holographic principle, hence the name "holographic quantum foam" (HQF). One important prediction of…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Eric Steinbring , Y. Jack Ng

We provide general arguments regarding the connection between low-energy theories (gravity and quantum field theory) and a hypothetical fundamental theory of quantum gravity, under the assumptions of (i) validity of the holographic bound…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Giovanni Acquaviva , Alfredo Iorio , Martin Scholtz

We calculate the entanglement entropy for a sphere and a massless scalar field in any dimensions. The reduced density matrix is expressed in terms of the infinitesimal generator of conformal transformations keeping the sphere fixed. The…

High Energy Physics - Theory · Physics 2014-11-21 H. Casini , M. Huerta

The holographic state of matter exists in the quantum gravitational regime, with black holes as the example. In this essay, we provide a microscopic derivation to the holographic thermodynamics and further discuss its implications for…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Yong Xiao

Arguments based on general principles of quantum mechanics suggest that a minimum length or time associated with Planck-scale unification may entail a new kind of observable uncertainty in the transverse position of macroscopically…

General Relativity and Quantum Cosmology · Physics 2010-01-09 Craig J. Hogan

We discuss the holographic principle in a radiation-dominated, closed Friedmann-Robertson-Walker (FRW) universe with a positive cosmological constant. By introducing a cosmological D-bound on the entropy of matter in the universe, we can…

High Energy Physics - Theory · Physics 2009-11-07 Rong-Gen Cai , Yun Soo Myung

We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement…

High Energy Physics - Theory · Physics 2011-12-13 Jan de Boer , Manuela Kulaxizi , Andrei Parnachev

Using gauge formulation of gravity the three-dimensional SU(2) YM theory equations of motion are presented in equivalent form as FRW cosmological equations. With the radiation, the particular (periodic, big bang-big crunch)…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov
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