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The holographic bound, $S<=A/4{\ell^2_P}$, asserts that the entropy $S$ of a system is bounded from above by a quarter of the area $A$ of a circumscribing surface measured in Planck areas. This bound is widely regarded as part of the…

General Relativity and Quantum Cosmology · Physics 2012-10-11 Shahar Hod

Entanglement entropy in a field theory, with a holographic dual, may be viewed as a quantity which encodes the diffeomorphism invariant bulk gravity dynamics. This, in particular, indicates that the bulk Einstein equations would imply some…

High Energy Physics - Theory · Physics 2014-10-31 Jyotirmoy Bhattacharya , Tadashi Takayanagi

In holographic duality, if a boundary state has a geometric description that realizes the Ryu-Takayanagi proposal then its entanglement entropies must obey certain inequalities that together define the so-called holographic entropy cone. A…

High Energy Physics - Theory · Physics 2020-01-08 Bartlomiej Czech , Xi Dong

It is shown in this paper that the symplectic form for the system consisting of $D$-dimensional bulk Palatini gravity and SO$(1,1)$ BF theory on an isolated horizon as a boundary just contains the bulk term. An alternative quantization…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Chao-Guang Huang , Jingbo Wang

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at…

High Energy Physics - Theory · Physics 2015-06-22 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

We study the quantification of coherence in infinite dimensional systems, especially the infinite dimensional bosonic systems in Fock space. We show that given the energy constraints, the relative entropy of coherence serves as a…

Quantum Physics · Physics 2016-01-27 Yu-Ran Zhang , Lian-He Shao , Yongming Li , Heng Fan

We examine the holography bound suggested by Bousso in his covariant entropy conjecture, and argue that it is violated because his notion of light sheet is too generous. We suggest its replacement by a weaker bound.

General Relativity and Quantum Cosmology · Physics 2014-11-17 Robert J. Low

According to the holographic bound, there is only a finite density of degrees of freedom in space when gravity is taken into account. Conventional quantum field theory does not conform to this bound, since in this framework, infinitely many…

High Energy Physics - Theory · Physics 2019-12-11 ChunJun Cao , Aidan Chatwin-Davies , Ashmeet Singh

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…

High Energy Physics - Theory · Physics 2017-12-15 Giovanni Acquaviva , Alfredo Iorio , Martin Scholtz

For general metric theories of gravity, we compare the approach that describes-derives the field equations of gravity as a thermodynamic identity with the one which looks at them from entropy bounds. The comparison is made through the…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Alessandro Pesci

The quantum theory of near horizon regions of spacetimes with classical spatially flat, homogeneous and isotropic Friedman-Robertson-Walker geometry can be approximately described by a two dimensional conformal field theory. The central…

High Energy Physics - Theory · Physics 2009-10-31 Ram Brustein

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

In this paper, we analyze the holographic principle using loop quantum gravity (LQG). This will be done by using polymeric quantization for analysing the Yurtsever's holographic bound on the entropy, which is obtained from local quantum…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Ozan Sargın , Mir Faizal

We perform a holographic calculation of the Entanglement R\'enyi entropy $S_q(\mu,\lambda)$, for spherical entangling surfaces in boundary CFT's with Einstein-Gauss-Bonnet-Maxwell holographic gravitational duals. We find that for…

High Energy Physics - Theory · Physics 2015-07-31 Georgios Pastras , Dimitrios Manolopoulos

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

High Energy Physics - Theory · Physics 2024-01-12 Vijay Balasubramanian , Charlie Cummings

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

The holographic principle is used to discuss the holographic dark energy model. We find that the Bekenstein-Hawking entropy bound is far from saturation under certain conditions. A more general constraint on the parameter of the holographic…

High Energy Physics - Theory · Physics 2009-11-11 Yungui Gong , Yuan-Zhong Zhang

The holographic principle is studied in the context of a $n+1$ dimensional radiation dominated closed Friedman-Robertson-Walker (FRW) universe. The radiation is represented by a conformal field theory with a large central charge. Following…

High Energy Physics - Theory · Physics 2007-05-23 Erik Verlinde

We point out that aspects of quantum mechanics can be derived from the holographic principle, using only a perturbative limit of classical general relativity. In flat space, the covariant entropy bound reduces to the Bekenstein bound. The…

High Energy Physics - Theory · Physics 2014-11-18 Raphael Bousso
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