Geometry of the Universe and Its Relation to Entropy and Information

In an effort to investigate a possible relation between geometry and information, we establish a relation of the Ricci scalar in the Robertson-Walker metric of the cosmological Friedmann model to the number of information N and entropy S. This is with the help of a previously derive...

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Main Authors:	Ioannis Haranas, Ioannis Gkigkitzis
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Advances in Astronomy
Online Access:	http://dx.doi.org/10.1155/2013/809695

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spelling	doaj-08a29367b41440b68da890b039d6f2562020-11-25T01:02:10ZengHindawi LimitedAdvances in Astronomy1687-79691687-79772013-01-01201310.1155/2013/809695809695Geometry of the Universe and Its Relation to Entropy and InformationIoannis Haranas0Ioannis Gkigkitzis1Department of Physics and Astronomy, York University, 4700 Keele Street, Toronto, ON, M3J 1P3, CanadaDepartment of Mathematics, East Carolina University, 124 Austin Building, East Fifth Street, Greenville, NC 27858-4353, USAIn an effort to investigate a possible relation between geometry and information, we establish a relation of the Ricci scalar in the Robertson-Walker metric of the cosmological Friedmann model to the number of information N and entropy S. This is with the help of a previously derived result that relates the Hubble parameter to the number of information N. We find that the Ricci scalar has a dependence which is inversely proportional to the number of information N and entropy S. Similarly, a nonzero number of information would imply a finite Ricci scalar, and therefore space time will unfold. Finally, using the maximum number of information existing in the universe, we obtain a numerical value for the Ricci scalar to be O(10-52) m-2.http://dx.doi.org/10.1155/2013/809695
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ioannis Haranas Ioannis Gkigkitzis
spellingShingle	Ioannis Haranas Ioannis Gkigkitzis Geometry of the Universe and Its Relation to Entropy and Information Advances in Astronomy
author_facet	Ioannis Haranas Ioannis Gkigkitzis
author_sort	Ioannis Haranas
title	Geometry of the Universe and Its Relation to Entropy and Information
title_short	Geometry of the Universe and Its Relation to Entropy and Information
title_full	Geometry of the Universe and Its Relation to Entropy and Information
title_fullStr	Geometry of the Universe and Its Relation to Entropy and Information
title_full_unstemmed	Geometry of the Universe and Its Relation to Entropy and Information
title_sort	geometry of the universe and its relation to entropy and information
publisher	Hindawi Limited
series	Advances in Astronomy
issn	1687-7969 1687-7977
publishDate	2013-01-01
description	In an effort to investigate a possible relation between geometry and information, we establish a relation of the Ricci scalar in the Robertson-Walker metric of the cosmological Friedmann model to the number of information N and entropy S. This is with the help of a previously derived result that relates the Hubble parameter to the number of information N. We find that the Ricci scalar has a dependence which is inversely proportional to the number of information N and entropy S. Similarly, a nonzero number of information would imply a finite Ricci scalar, and therefore space time will unfold. Finally, using the maximum number of information existing in the universe, we obtain a numerical value for the Ricci scalar to be O(10-52) m-2.
url	http://dx.doi.org/10.1155/2013/809695
work_keys_str_mv	AT ioannisharanas geometryoftheuniverseanditsrelationtoentropyandinformation AT ioannisgkigkitzis geometryoftheuniverseanditsrelationtoentropyandinformation
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Geometry of the Universe and Its Relation to Entropy and Information

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