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Advances in Astronomy
Volume 2013, Article ID 809695, 3 pages
http://dx.doi.org/10.1155/2013/809695
Research Article

Geometry of the Universe and Its Relation to Entropy and Information

1Department of Physics and Astronomy, York University, 4700 Keele Street, Toronto, ON, Canada M3J 1P3
2Department of Mathematics, East Carolina University, 124 Austin Building, East Fifth Street, Greenville, NC 27858-4353, USA

Received 13 June 2013; Revised 3 August 2013; Accepted 5 August 2013

Academic Editor: Gary Wegner

Copyright © 2013 Ioannis Haranas and Ioannis Gkigkitzis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 and entropy . This is with the help of a previously derived result that relates the Hubble parameter to the number of information . We find that the Ricci scalar has a dependence which is inversely proportional to the number of information and entropy . 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 .