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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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Astronomy |
| Online Access: | http://dx.doi.org/10.1155/2013/809695 |
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| author | Ioannis Haranas Ioannis Gkigkitzis |
| author_facet | Ioannis Haranas Ioannis Gkigkitzis |
| author_sort | Ioannis Haranas |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-08a29367b41440b68da890b039d6f256 |
| institution | Kabale University |
| issn | 1687-7969 1687-7977 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Astronomy |
| spelling | doaj-art-08a29367b41440b68da890b039d6f2562025-02-03T05:52:45ZengWileyAdvances 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 |
| spellingShingle | Ioannis Haranas Ioannis Gkigkitzis Geometry of the Universe and Its Relation to Entropy and Information Advances in Astronomy |
| title | 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_short | Geometry of the Universe and Its Relation to Entropy and Information |
| title_sort | geometry of the universe and its relation to entropy and information |
| url | http://dx.doi.org/10.1155/2013/809695 |
| work_keys_str_mv | AT ioannisharanas geometryoftheuniverseanditsrelationtoentropyandinformation AT ioannisgkigkitzis geometryoftheuniverseanditsrelationtoentropyandinformation |