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We provide a gravitational argument in favour of the covariant holographic entanglement entropy proposal. In general time-dependent states, the proposal asserts that the entanglement entropy of a region in the boundary field theory is given…

High Energy Physics - Theory · Physics 2016-11-22 Xi Dong , Aitor Lewkowycz , Mukund Rangamani

One of the most exciting things in recent theoretical physics is the suspicion that gravity may be holographic, dual to some sort of quantum field theory living on the boundary with one less dimension. Such a suspicion has been supported…

High Energy Physics - Theory · Physics 2013-05-24 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

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 maximum entropy that can be stored in a bounded region of space is in dispute: it goes as volume, implies (non-gravitational) microphysics; it goes as the surface area, asserts the "holographic principle." Here I show how the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ulvi Yurtsever

Holography principle imposes a stringent constraint on the scale of quantum gravity $M_*$ in brane-world scenarios, where all matter is confined on the brane. The thermodynamic entropy of astrophysical black holes and sub-horizon volumes…

High Energy Physics - Theory · Physics 2007-05-23 Deog Ki Hong , Stephen D. H. Hsu

The holographic property of entropy plays a key role in the thermodynamic description of gravitational field equations. It remains unclear, we argue, whether this property is necessarily interwoven with gravity itself or can be understood…

General Relativity and Quantum Cosmology · Physics 2011-08-26 Alessandro Pesci

We analyze various aspects of the recently proposed holographic theories with general dynamical critical exponent z and hyperscaling violation exponent $\theta$. We first find the basic constraints on $z, \theta$ from the gravity side, and…

High Energy Physics - Theory · Physics 2012-07-03 Xi Dong , Sarah Harrison , Shamit Kachru , Gonzalo Torroba , Huajia Wang

We discuss the holography and entropy bounds in Gauss-Bonnet gravity theory. By applying a Geroch process to an arbitrary spherically symmetric black hole, we show that the Bekenstein entropy bound always keeps its form as $S_{\rm B}=2\pi E…

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

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

The most radical version of the holographic principle asserts that all information about physical processes in the world can be stored on its surface. This formulation is at odds with inflationary cosmology, which implies that physical…

High Energy Physics - Theory · Physics 2009-09-29 Nemanja Kaloper , Andrei Linde

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

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 study a topological field theory in four dimensions on a manifold with boundary. A bulk-boundary interaction is introduced through a novel variational principle rather than explicitly. Through this scheme we find that the boundary values…

High Energy Physics - Theory · Physics 2010-01-06 Viqar Husain , Sebastian Jaimungal

We calculated the entropy of a class of inhomogeneous dust universes. Allowing spherical symmetry, we proposed a holographic principle by reflecting all physical freedoms on the surface of the apparent horizon. In contrast to flat…

Astrophysics · Physics 2008-11-26 Bin Wang , Elcio Abdalla , Takeshi Osada

I provide a general proof of the conjecture that one can attribute an entropy to the area of {\it any} horizon. This is done by constructing a canonical ensemble of a subclass of spacetimes with a fixed value for the temperature…

General Relativity and Quantum Cosmology · Physics 2015-06-25 T. Padmanabhan

We suggest that holography can be formulated in terms of the information capacity of the St\"uckelberg degrees of freedom that maintain gauge invariance of the theory in the presence of an information boundary. These St\"uckelbergs act as…

High Energy Physics - Theory · Physics 2016-11-02 Gia Dvali , Cesar Gomez , Nico Wintergerst

Characterizing the entanglement of matrix degrees of freedom is essential for understanding the holographic emergence of spacetime. The Quantum Hall Matrix Model is a gauged $U(N)$ matrix quantum mechanics with two matrices whose ground…

High Energy Physics - Theory · Physics 2022-06-08 Alexander Frenkel , Sean A. Hartnoll

According to the holographic principle, the maximum amount of information stored in a region of space scales as the area of its two-dimensional surface, like a hologram. We show that the holographic principle can be understood heuristically…

General Relativity and Quantum Cosmology · Physics 2016-10-21 Y. Jack Ng

The previously developed algebraic lightfront holography is used in conjunction with the tensor splitting of the chiral theory on the causal horizon. In this way a universal area law for the entanglement entropy of the vacuum relative to…

High Energy Physics - Theory · Physics 2008-07-09 Bert Schroer

The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. This counterintuitive idea which has its roots in the nonextensive nature of…

Quantum Physics · Physics 2009-11-13 M. M. Wolf , F. Verstraete , M. B. Hastings , J. I. Cirac