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 m0 and 0 in the flat cold dark matter 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 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 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 domination. We find that the peak location is insensitive to the initial conditions and only depends on the values of m0 and 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.