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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 bound asserts that the entropy $S$ of a system is bounded from above by a quarter of the area ${\cal A}$ of a circumscribing surface measured in Planck areas: $S\leq {\cal A}/4{\ell^2_P}$. This bound is widely regarded a…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Shahar Hod

A simple derivation of the bound on entropy is given and the holographic principle is discussed. We estimate the number of quantum states inside space region on the base of uncertainty relation. The result is compared with the Bekenstein…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. G. Ivanov , I. V. Volovich

The holographic bound states that the entropy in a region cannot exceed one quarter of the area (in Planck units) of the bounding surface. A version of the holographic principle that can be applied to cosmological spacetimes has recently…

High Energy Physics - Theory · Physics 2007-05-23 Dan N. Vollick

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

The issue of black hole entropy is reexamined within a finite lattice framework along the lines of Wheeler, 't Hooft and Susskind, with an additional criterion to identify physical horizon states contributing to the entropy. As a…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

The holographic principle asserts that the entropy of a system cannot exceed its boundary area in Planck units. However, conventional quantum field theory fails to describe such systems. In this Letter, we assume the existence of large $n$…

High Energy Physics - Theory · Physics 2008-09-25 Chao Cao , Yi-Xin Chen

The holographic entropy bound is discussed in cosmology. Inspired by the work of Fischler and Susskind [hep-th/9806039], we aim to define a special class of spherical systems in cosmology, within which the entropy of matter remains…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Hao Yu , Zi-Chao Lin , Jin Li

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

We aim to establish the holographic principle as a universal law, rather than a property only of static systems and special space-times. Our covariant formalism yields an upper bound on entropy which applies to both open and closed…

High Energy Physics - Theory · Physics 2011-04-15 Raphael Bousso

There is strong evidence that the area of any surface limits the information content of adjacent spacetime regions, at 10^(69) bits per square meter. We review the developments that have led to the recognition of this entropy bound, placing…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso

Holographic principle states that the maximum entropy of a system is its boundary area in Planck units. However, such a holographic entropy cannot be realized by the conventional quantum field theory. We need a new microscopic theory which…

General Relativity and Quantum Cosmology · Physics 2017-11-21 Yong Xiao

A simplified derivation of Yurtsever's result, which states that the entropy of a truncated bosonic Fock space is given by a holographic bound when the energy of the Fock states is constrained gravitationally, is given for asymptotically…

High Energy Physics - Theory · Physics 2007-05-23 Andreas Aste

The aim of the present dissertation is to analyze the meaning of the entropy bounds of the holographic sector once tested for statistical ensembles of particles, in order to deeper investigate the nature of these constraints and their…

General Physics · Physics 2014-11-04 Nicolo' Masi

As a quantum theory of gravity, Matrix theory should provide a realization of the holographic principle, in the sense that a holographic theory should contain one binary degree of freedom per Planck area. We present evidence that…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso , Aleksey L. Mints

When a black hole forms from collapse in a holographic theory, the information in the black hole interior remains encoded in the boundary. We prove that the area of the black hole's apparent horizon is precisely the entropy associated to…

High Energy Physics - Theory · Physics 2019-07-05 Netta Engelhardt , Aron C. Wall

We propose that in time dependent backgrounds the holographic principle should be replaced by the generalized second law of thermodynamics. For isotropic open and flat universes with a fixed equation of state, the generalized second law…

High Energy Physics - Theory · Physics 2009-10-31 Richard Easther , David A. Lowe

The celebrated holographic entropy bound asserts that, within the framework of a self-consistent quantum theory of gravity, the maximal entropy (information) content of a physical system is given by one quarter of its circumscribing area:…

High Energy Physics - Theory · Physics 2018-06-27 Shahar Hod

The holographic principle sets an upper bound on the total entropy content of the Universe. Within the limits of a Newtonian approximation, a quantum-mechanical model is presented to describe the cosmological fluid. Under the assumption…

General Relativity and Quantum Cosmology · Physics 2023-07-19 P. Fernandez de Cordoba , J. M. Isidro

We review the different proposals which have so far been made for the holographic principle and the related entropy bounds and classify them into the strong, null and weak forms. These are analyzed, with the aim of discovering which may…

High Energy Physics - Theory · Physics 2009-10-31 Lee Smolin
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