Department of Physics and Computer Science
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.
Ioannis Haranas and Ioannis Gkigkitzis, “Geometry of the Universe and Its Relation to Entropy and Information,” Advances in Astronomy, vol. 2013, Article ID 809695, 3 pages, 2013. doi:10.1155/2013/809695