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According to the holography principle (due to G.`t Hooft, L. Susskind, J. Maldacena, et al.), quantum gravity and string theory on certain manifolds with boundary can be studied in terms of a conformal field theory on the boundary. Only a…

High Energy Physics - Theory · Physics 2007-05-23 Yuri I. Manin , Matilde Marcolli

The holographic entanglement entropy functional for higher-curvature gravities involves a weighted sum whose evaluation, beyond quadratic order, requires a complicated theory-dependent splitting of the Riemann tensor components. Using the…

High Energy Physics - Theory · Physics 2021-05-05 Pablo Bueno , Joan Camps , Alejandro Vilar López

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

Bousso has conjectured that in any spacetime satisfying Einstein's equation and satisfying the dominant energy condition, the "entropy flux" S through any null hypersurface L generated by geodesics with non-positive expansion starting from…

High Energy Physics - Theory · Physics 2009-10-31 Eanna E. Flanagan , Donald Marolf , Robert M. Wald

The correspondence between string theory in Anti-de Sitter space and super Yang Mills theory is an example of the Holographic principle according to which a quantum theory with gravity must be describable by a boundary theory. However,…

High Energy Physics - Theory · Physics 2007-05-23 L. Susskind , Edward Witten

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

We propose a holographic dictionary which comes from reducing the bulk theories in an asymptotically flat spacetime to its null infinity. A general boundary theory is characterized by a fundamental field, an infinite tower of descendant…

High Energy Physics - Theory · Physics 2024-01-23 Wen-Bin Liu , Jiang Long

Einstein-Hilbert (EH) action can be separated into a bulk and a surface term, with a specific ("holographic") relationship between the two, so that either can be used to extract information about the other. The surface term can also be…

High Energy Physics - Theory · Physics 2008-11-26 A. Mukhopadhyay , T. Padmanabhan

Hawking-Bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside in the interior of a black hole. We suggest that this is a consequence of the fact that the volume of any interior sphere of finite surface…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Aharon Davidson , Ilya Gurwich

In the context of holography, the Einstein ring of an AdS black hole (BH) in massive gravity (MG) is depicted. An oscillating Gaussian source on one side of the AdS boundary propagates in bulk, and we impose a response function to explain…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Xin-Yun Hu , M. Israr Aslam , Rabia Saleem , Xiao-Xiong Zeng

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

Some essential conceptual aspects that will fill some logical gaps of the frame to interpret the gravity as an entropic force was investigated, we focus on some crucial issues that didn't emphasized in Verlinde's original…

General Relativity and Quantum Cosmology · Physics 2014-02-21 Qiao-Jun Cao

If Einstein-Gauss-Bonnet gravity is obtained as a low energy limit of string theory, then the Gauss-Bonnet parameter $\alpha$ is essentially the inverse string tension and thus necessarily positive. If one treats Einstein-Gauss-Bonnet…

High Energy Physics - Theory · Physics 2022-08-30 Yen Chin Ong

In this paper, we consider the holograph principle emergent from noncommutative geometry, based on the spectral action principle. We show that under some appropriate conditions, the gravity theory on a manifold with boundary could be…

General Relativity and Quantum Cosmology · Physics 2010-07-20 Jingbo Wang

We calculate the two-point function of the trace of the stress tensor in holographic renormalization group flows between pairs of conformal field theories. We show that the term proportional to the momentum squared in this correlator gives…

High Energy Physics - Theory · Physics 2016-04-19 Horacio Casini , Eduardo Teste , Gonzalo Torroba

Holographic superconductor is an important arena for holography, as it allows concrete calculations to further understand the dictionary between bulk physics and boundary physics. An important quantity of recent interest is the holographic…

High Energy Physics - Theory · Physics 2017-05-29 Mahdi Kord Zangeneh , Yen Chin Ong , Bin Wang

Certain peculiar features of Einstein-Hilbert (EH) action provide clues towards a holographic approach to gravity which is independent of the detailed microstructure of spacetime. These features of the EH action include: (a) the existence…

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

It was recently observed in \cite{Park:2014tia} that the holographic nature of gravity may hold a key to quantization of gravity. The so-called "holographic quantization" has been carried out in \cite{Park:2014noa,Park:2015ota} for Einstein…

High Energy Physics - Theory · Physics 2017-04-20 I. Y. Park

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

Recent progress in AdS/CFT has provided a good understanding of how the bulk spacetime is encoded in the entanglement structure of the boundary CFT. However, little is known about how spacetime emerges directly from the bulk quantum theory.…

High Energy Physics - Theory · Physics 2023-07-24 Thomas G. Mertens , Joan Simón , Gabriel Wong