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A necessary condition for the validity of the holographic principle is the holographic bound: the entropy of a system is bounded from above by a quarter of the area of a circumscribing surface measured in Planck areas. This bound cannot be…

High Energy Physics - Theory · Physics 2009-10-31 Jacob D. Bekenstein

The holographic principle can lead to cosmological scenarios, i.e., holographic equipartition models. In this model, an extra driving term (corresponding to a time-varying cosmological term) in cosmological equations depends on an…

General Relativity and Quantum Cosmology · Physics 2019-02-25 Nobuyoshi Komatsu

Recently, motivated by certain loop quantum gravity inspired corrections, it was shown that for spherically symmetric midisuperspace models infinitely many second derivative theories of gravity exist (as revealed by the presence of three…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Rakesh Tibrewala

A cosmological version of the holographic principle is proposed. Various consequences are discussed including bounds on equation of state and the requirement that the universe be infinite.

High Energy Physics - Theory · Physics 2007-05-23 W. Fischler , L. Susskind

Assuming the holographic principle, the gravitational force can be formulated thermodynamically as an entropic force, but the mechanism by which the attraction between two masses occurs is not clear. The physical basis for the holographic…

General Physics · Physics 2010-10-13 Arnold Stein

In this work we review at an elementary level the origin, main ideas and present status of the so called holographic principle. This principle, even in the absence of a precise formulation, is seen by many people as a major clue for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antonio Dobado

Holographic duality describes gravitational theories in terms of quantum many-body systems. In holography, quantum information theory provides a crucial tool that directly connects microscopic structures of these systems to the geometries…

High Energy Physics - Theory · Physics 2025-06-24 Tadashi Takayanagi

It has been persuasively argued that the number of the effective degrees of freedom of a macroscopic system is proportional to its area rather than to its volume. This entails interesting consequences for cosmology. Here we present a model…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Diego Pavon

We study the effects of a generalized uncertainty principle on the classical and quantum cosmology of a closed Friedmann Universe whose matter content is either a dust or a radiation fluid. More concretely, assuming the existence of a…

General Relativity and Quantum Cosmology · Physics 2015-02-26 S. Jalalzadeh , S. M. M. Rasouli , P. V. Moniz

The holographic principle is often (and hastily) attributed to quantum gravity and domains of the Planck size. Meanwhile it can be usefully applied to problems where gravitation effects are negligible and domains of less exotic size. The…

High Energy Physics - Theory · Physics 2017-08-23 B. P. Kosyakov

We examine in details Friedmann-Robertson-Walker models in 2+1 dimensions in order to investigate the cosmic holographic principle suggested by Fischler and Susskind. Our results are rigorously derived differing from the previous one found…

High Energy Physics - Theory · Physics 2009-11-07 Norman Cruz , Samuel Lepe

By collecting both quantum and gravitational principles, a space-time uncertainty relation $(\delta t)(\delta r)^{3}\geqslant\pi r^{2}l_{p}^{2}$ is derived. It can be used to facilitate the discussion of several profound questions, such as…

High Energy Physics - Theory · Physics 2008-11-07 Yi-Xin Chen , Yong Xiao

It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality…

High Energy Physics - Theory · Physics 2009-11-10 Vishnu Jejjala , Robert G. Leigh , Djordje Minic

Using a new version of the holographic principle, a constant term was introduced, which conduces to the description of the standard cosmological LCDM model, and unifies under the same concept the dark matter and dark energy phenomena. The…

High Energy Physics - Theory · Physics 2011-02-03 L. N. Granda

Arguments based on general principles of quantum mechanics have suggested that a minimum length associated with Planck-scale unification may in the context of the holographic principle entail a new kind of observable uncertainty in the…

General Physics · Physics 2010-04-19 C. L. Herzenberg

The cosmological Friedmann equation sourced by the trace anomaly of a conformal field theory that is dual to the five-dimensional Schwarzschild-AdS geometry can be derived from the first law of thermodynamics if the apparent horizon of the…

High Energy Physics - Theory · Physics 2013-11-20 James E. Lidsey

For a field theory with a gravitational dual, following Susskind's proposal we define holographic complexity for a subsystem. The holographic complexity is proportional to the volume of a co-dimension one time slice in the bulk geometry…

High Energy Physics - Theory · Physics 2016-01-18 Mohsen Alishahiha

In this study we explore the cosmic holographic principle, as proposed by Fischler and Susskind~\cite{Fischler}, within the framework of $(2 + 1)$-dimensional cosmological models. A generalized equation of state is employed, given by $p =…

General Physics · Physics 2025-08-19 Praveen Kumar Dhankar , Safiqul Islam , Saibal Ray , Aritra Sanyal , S. K. Maurya

We show in a model-independent way that the inhomogeneous cosmological class II Stephani model fulfills both the the cosmological holographic principle, and that the entropy is increasing with time. By this we mean the result does not…

General Relativity and Quantum Cosmology · Physics 2020-02-25 Daniele Gregoris , Yen Chin Ong , Bin Wang

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