{ "id": "1008.0946", "version": "v3", "published": "2010-08-05T11:21:56.000Z", "updated": "2011-06-13T07:59:58.000Z", "title": "Black Hole Entropy: From Shannon to Bekenstein", "authors": [ "Subir Ghosh" ], "comment": "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", "categories": [ "hep-th", "gr-qc", "quant-ph" ], "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.", "revisions": [ { "version": "v3", "updated": "2011-06-13T07:59:58.000Z" } ], "analyses": { "keywords": [ "black hole entropy", "bekenstein", "shannon formula", "horizon mode functions", "information theory entropy" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s10773-011-0859-y", "journal": "International Journal of Theoretical Physics", "year": 2011, "month": "Nov", "volume": 50, "number": 11, "pages": 3515 }, "note": { "typesetting": "LaTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 864574, "adsabs": "2011IJTP...50.3515G" } } }