Geometry of the Universe and Its Relation to Entropy and Information
Keyword(s):
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 informationNand entropyS. This is with the help of a previously derived result that relates the Hubble parameter to the number of informationN. We find that the Ricci scalar has a dependence which is inversely proportional to the number of informationNand entropyS. 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 beO(10-52) m-2.
2021 ◽
1996 ◽
Vol 05
(03)
◽
pp. 293-312
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Keyword(s):
Keyword(s):