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Geometry of the Universe and Its Relation to Entropy and Information

机译:宇宙的几何及其与熵和信息的关系

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摘要

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.
机译:为了研究几何与信息之间的可能关系,我们建立了宇宙学弗里德曼模型的Robertson-Walker度量中的Ricci标量与信息数量N和熵S的关系。这是借助于先前得出的结果的结果,该结果将Hubble参数与信息数N相关。我们发现Ricci标量具有一个与信息N和熵S的数量成反比的依赖关系。类似地,非零信息量将意味着有限的Ricci标量,因此时空将展开。最后,使用宇宙中存在的最大信息量,我们得到Ricci标量的数值为beO(10-52)m-2。

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