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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

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

Deformations of minimal surfaces lying in constant time slices in static space-times are studied. An exact and universal formula for a change of the area of a minimal surface under shifts of nearby point-like particles is found. It allows…

High Energy Physics - Theory · Physics 2014-11-21 Dmitri V. Fursaev

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

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

For a general maximally symmetric (spherically, plane or hyperbola symmetric) holographic screen, we rewrite the equations of motion of general Lovelock gravity into the form of some generalized first law of thermodynamics, under certain…

High Energy Physics - Theory · Physics 2019-08-19 Yu Tian , Xiao-Ning Wu

We propose a holographic correspondence between the action integral I describing the mechanics of a finite number of degrees of freedom in the bulk, and the entropy S of the boundary (a holographic screen) enclosing that same volume. The…

High Energy Physics - Theory · Physics 2015-06-03 D. Acosta , P. Fernandez de Cordoba , J. M. Isidro , J. L. G. Santander

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 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

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

Quantum mechanics emerges a la Verlinde from a foliation of space by holographic screens, when regarding the latter as entropy reservoirs that a particle can exchange entropy with. This entropy is quantised in units of Boltzmann's constant…

High Energy Physics - Theory · Physics 2011-09-21 D. Acosta , P. Fernandez de Cordoba , J. M. Isidro , J. L. G. Santander

The area of a future holographic screen increases monotonically. Associating this area with entropy results in a generalized second law for Cosmology (GSLC). Unlike black hole horizons, screens relevant to Cosmology have no thermodynamical…

High Energy Physics - Theory · Physics 2020-09-16 Ido Ben-Dayan , Merav Hadad

We prove a new, large family of area laws in general relativity, which apply to certain classes of untrapped surfaces that we dub generalized holographic screens. Our family of area laws contains, as special cases, the area laws for…

High Energy Physics - Theory · Physics 2018-08-15 Yasunori Nomura , Grant N. Remmen

We introduce a new interpretation of chemical potential and show that holographic entropy is entropy bound, which is supported by two ideal cases discussed in detail. One is sparse but incompressible liquid like a star of uniform density…

High Energy Physics - Theory · Physics 2015-05-28 Wu Guang , Gu Wei

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

The dynamics of general Lovelock gravity, viewed on an arbitrary spherically symmetric surface as a holographic screen, is recast as the form of some generalized first law of thermodynamics on the screen. From this observation together with…

High Energy Physics - Theory · Physics 2011-03-04 Yu Tian , Xiao-Ning Wu

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
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