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Entropy, Volume 3, Issue 1 (March 2001) – 2 articles , Pages 1-26

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154 KiB  
Article
An Elementary Derivation of The Black Hole Entropy in Any Dimension
by Carlos Castro
Entropy 2001, 3(1), 12-26; https://0-doi-org.brum.beds.ac.uk/10.3390/e3010012 - 26 Mar 2001
Cited by 8 | Viewed by 7533
Abstract
An elementary derivation of the Black Hole Entropy area relation in any dimension is provided based on the New Extended Scale Relativity Principle and Shannon's Information Entropy. The well known entropy-area linear Bekenstein-Hawking relation is derived. We discuss briefly how to derive the [...] Read more.
An elementary derivation of the Black Hole Entropy area relation in any dimension is provided based on the New Extended Scale Relativity Principle and Shannon's Information Entropy. The well known entropy-area linear Bekenstein-Hawking relation is derived. We discuss briefly how to derive the most recently obtained Logarithmic and higher order corrections to the linear entropy-area law in full agreement with the standard results in the literature. Full article
(This article belongs to the Special Issue Recent Advances in Entanglement and Quantum Information Theory)
130 KiB  
Article
Some Observations on the Concepts of Information-Theoretic Entropy and Randomness
by Jonathan D.H. Smith
Entropy 2001, 3(1), 1-11; https://0-doi-org.brum.beds.ac.uk/10.3390/e3010001 - 01 Feb 2001
Cited by 20 | Viewed by 9838
Abstract
Certain aspects of the history, derivation, and physical application of the information-theoretic entropy concept are discussed. Pre-dating Shannon, the concept is traced back to Pauli. A derivation from first principles is given, without use of approximations. The concept depends on the underlying degree [...] Read more.
Certain aspects of the history, derivation, and physical application of the information-theoretic entropy concept are discussed. Pre-dating Shannon, the concept is traced back to Pauli. A derivation from first principles is given, without use of approximations. The concept depends on the underlying degree of randomness. In physical applications, this translates to dependence on the experimental apparatus available. An example illustrates how this dependence affects Prigogine's proposal for the use of the Second Law of Thermodynamics as a selection principle for the breaking of time symmetry. The dependence also serves to yield a resolution of the so-called ``Gibbs Paradox.'' Extension of the concept from the discrete to the continuous case is discussed. The usual extension is shown to be dimensionally incorrect. Correction introduces a reference density, leading to the concept of Kullback entropy. Practical relativistic considerations suggest a possible proper reference density. Full article
(This article belongs to the Special Issue Gibbs Paradox and Its Resolutions)
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