Black Hole Entropy: From Shannon to Bekenstein
High Energy Physics - Theory
2015-05-19 v3 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
In this note we have applied directly the Shannon formula for information theory entropy to derive the Black Hole (Bekenstein-Hawking) entropy. Our analysis is semi-classical in nature since we use the (recently proposed [8]) quantum mechanical near horizon mode functions to compute the tunneling probability that goes in to the Shannon formula, following the general idea of [5]. Our framework conforms to the information theoretic origin of Black Hole entropy, as originally proposed by Bekenstein.
Keywords
Cite
@article{arxiv.1008.0946,
title = {Black Hole Entropy: From Shannon to Bekenstein},
author = {Subir Ghosh},
journal= {arXiv preprint arXiv:1008.0946},
year = {2015}
}
Comments
9 pages Latex, Comments are welcome; Thoroughly revised version, reference and acknowledgements sections enlarged, numerical error in final result corrected, no major changes, to appear in IJTP