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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Interacting entropy-corrected holographic dark energy with apparent horizon as an infrared cutoff
TL;DR: In this article, two corrections of entropy so-called logarithmic LECHDE and power-law PLC in the non-flat universe with apparent horizon as an IR-cutoff are studied.
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Operational definition of (brane-induced) space–time and constraints on the fundamental parameters
TL;DR: In this paper, the authors consider the operational definition of space-time in four dimensions in light of basic principles of quantum mechanics and general relativity and consider some of its phenomenological consequences.
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Bekenstein–Hawking entropy in expanding universes from black hole theorems
TL;DR: In this article, it was shown that the use of suitable theorems for black hole formation in Friedmann expanding universes leads to a modification of the Bekenstein-Hawking entropy.
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Entropy Bound and Unitarity of Scattering Amplitudes
Gia Dvali,Gia Dvali +1 more
TL;DR: In this article, it was shown that the maximal entropy of a self-sustained quantum field object of radius R is equal to its surface area and at the same time to the inverse running coupling evaluated at the scale R. This is true for all known entropy-saturating objects such as solitons, instantons, baryons, oscillons, or simply lumps of classical fields.
Journal ArticleDOI
Universal bounds on the time evolution of entanglement entropy.
Steven G. Avery,Miguel F. Paulos +1 more
TL;DR: Using relative entropy, bounds on the time rate of change of geometric entanglement entropy for any relativistic quantum field theory in any dimension are derived.