Journal ArticleDOI
Universal upper bound on the entropy-to-energy ratio for bounded systems
TLDR
For systems with negligible self-gravity, the bound follows from application of the second law of thermodynamics to a gedanken experiment involving a black hole as discussed by the authors, and it is shown that black holes have the maximum entropy for given mass and size which is allowed by quantum theory and general relativity.Abstract:
We present evidence for the existence of a universal upper bound of magnitude $\frac{2\ensuremath{\pi}R}{\ensuremath{\hbar}c}$ to the entropy-to-energy ratio $\frac{S}{E}$ of an arbitrary system of effective radius $R$. For systems with negligible self-gravity, the bound follows from application of the second law of thermodynamics to a gedanken experiment involving a black hole. Direct statistical arguments are also discussed. A microcanonical approach of Gibbons illustrates for simple systems (gravitating and not) the reason behind the bound, and the connection of $R$ with the longest dimension of the system. A more general approach establishes the bound for a relativistic field system contained in a cavity of arbitrary shape, or in a closed universe. Black holes also comply with the bound; in fact they actually attain it. Thus, as long suspected, black holes have the maximum entropy for given mass and size which is allowed by quantum theory and general relativity.read more
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Universal entropy bound and discrete spacetime
Yunqi Xu,Bo-Qiang Ma +1 more
TL;DR: In this paper, the universal entropy bounds suggested by Bekenstein and Susskind and applying them to the black-body radiation situation were applied to obtain a cutoff of space Δx ≥ χlP with χ≥0.1.
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Holographic entropy packing inside a black hole.
Aharon Davidson,Ilya Gurwich +1 more
TL;DR: If general relativity is spontaneously induced, the black hole limit is governed by a phase transition which occurs precisely at the would-have-been horizon, thus locally saturating the 't Hooft-Susskind holographic bound.
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Hyperentropic systems and the generalized second law of thermodynamics
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Realization of Holographic Entanglement Temperature for a Nearly-AdS boundary
TL;DR: In this article, the holographic entanglement entropy has been used to predict a phase transition of first order at critical temperature, where the boundary is considered to be thermalized.
Journal ArticleDOI
Evidence for the maximally entangled low x proton in Deep Inelastic Scattering from H1 data
TL;DR: In this paper , the authors investigated the relation between the parton number and the final state hadron multiplicity and determined partonic entropy from the sum of gluon and quark distribution functions at low $x$ , which they obtained from an unintegrated Gluon distribution subject to next-to-leading order Balitsky-Fadin-Kuraev-Lipatov evolution.