A new method to probe the mass density and the cosmological constant using configuration entropy

Abstract

We study the evolution of the configuration entropy for different combinations of ${\Omega }_{m0}$ and ${\Omega }_{\Lambda 0}$ in the flat $\Lambda$CDM universe and find that the cosmological constant plays a decisive role in controlling the dissipation of the configuration entropy. The configuration entropy dissipates at a slower rate in the models with higher value of ${\Omega }_{\Lambda 0}$. We find that the entropy rate decays to reach a minimum and then increases with time. The minimum entropy rate occurs at an earlier time for higher value of ${\Omega }_{\Lambda 0}$. We identify a prominent peak in the derivative of the entropy rate whose location closely coincides with the scale factor corresponding to the transition from matter to $\Lambda$ domination. We find that the peak location is insensitive to the initial conditions and only depends on the values of ${\Omega }_{m0}$ and ${\Omega }_{\Lambda 0}$. We propose that measuring the evolution of the configuration entropy in the Universe and identifying the location of the peak in its second derivative would provide a new and robust method to probe the mass density and the cosmological constant.

arXiv comment5 pages, 2 figures, moderate revisions, Accepted to MNRAS Letters

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