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It is believed that a primary principle of the theory of quantum gravity is the Holographic Principle according to which a physical system can be described only by degrees of freedom living on its boundary. The generalized covariant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Per , A. Segui

The universal entropy bound of Bekenstein is considered, at any strength of the gravitational interaction. A proof of it is given, provided the considered general-relativistic spacetimes allow for a meaningful and inequivocal definition of…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Alessandro Pesci

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at…

High Energy Physics - Theory · Physics 2015-06-22 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

It is generally accepted that the entropy of an asymptotically de Sitter universe is bounded by the area, in Planck units, of the de Sitter horizon. Based on an analysis of the entropy associated to the vacuum quantum fluctuations, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Saulo Carneiro

A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology. We first model the cosmological fluid as the probability fluid of a quantum-mechanical system. Next,…

Quantum Physics · Physics 2023-07-19 D. Cabrera , P. Fernandez de Cordoba , J. M. Isidro

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

We first study some aspects of a physically inspired kind of a noncommutative spherically symmetric spacetime based on the Gaussian-smeared mass distribution for a solar system scale. This leads to the elimination of a singularity appeared…

General Physics · Physics 2016-05-12 S. Hamid Mehdipour

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

We propose a new holographic program of gravity in which we introduce a surface stress tensor. Our proposal differs from Verlinde's in several aspects. First, we use an open or a closed screen, a temperature is not necessary but a surface…

High Energy Physics - Theory · Physics 2010-11-29 Wei Gu , Miao Li , Rong-Xin Miao

In this talk we entertain the possibility that the synthesis of general covariance and quantum mechanics requires an extension of the basic kinematical setup of quantum mechanics. According to the holographic principle, regions of spacetime…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vijay Balasubramanian , Jan de Boer , Djordje Minic

Based on an analysis of the entropy associated to the vacuum quantum fluctuations, we show that the holographic principle, applied to the cosmic scale, constitutes a possible explanation for the observed value of the cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Saulo Carneiro

By following the spirit of Verlinde's entropic force proposal arXiv:1001.0785, we give the differential and integral form of the first law of thermodynamics on the holographic screen enclosing a spherical symmetric black hole. It is…

High Energy Physics - Theory · Physics 2011-06-07 Yi-Xin Chen , Jian-Long Li

\begin{abstract} The accelerated expansion of the universe can be interpreted as a tendency to satisfy the holographic equipartition. It can be expressed by a simple law, $\Delta V = \Delta t\left(N_{surf}-\epsilon N_{bulk}\right),$ where…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Krishna P B , Titus K Mathew

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

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

High Energy Physics - Theory · Physics 2024-01-12 Vijay Balasubramanian , Charlie Cummings

According to the formal holographic principle, a modification to the assumption of holographic principle in Verlinder's investigation of entropy force is obtained. A more precise relation between entropy and area in the holographic system…

High Energy Physics - Theory · Physics 2011-03-15 Bin Liu , Yun-Chuan Dai , Xian-Ru Hu , Jian-Bo Deng

The recently proposed gravitational entropy generalize the usual black hole entropy to Euclidean solutions without U(1) symmetry in the framework of Einstein gravity. The entropy of such smooth configuration is given by the area of minimal…

High Energy Physics - Theory · Physics 2013-08-07 Bin Chen , Jia-ju Zhang

If we assume that the initial conditions for the universe were such that there was no volume-extensive entropy `at the beginning of time' (which is true in Linde's chaotic inflation), we can formulate a covariant holographic bound on the…

High Energy Physics - Theory · Physics 2007-05-23 Michal Fabinger

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

By assuming that a dark component (dark energy) in the universe strictly obeys the holographic principle, that is, its entropy is one fourth of the apparent horizon, we find that the existence of the other dark component (dark matter) is…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Hongsheng Zhang , Xin-Zhou Li , Hyerim Noh