Can we constrain the dark energy equation of state parameters using configuration entropy?

Abstract

We propose a new scheme for constraining the dark energy equation of state parame ter/parameters based on the study of the evolution of the configuration entropy. We analyse a set of one-parameter and two-parameter dynamical dark energy models and find that the derivative of the configuration entropy in all the dynamical dark energy models exhibits a minimum. The magnitude of the minimum of the entropy rate is decided by both the parametrization of the equation of state and the associated parameters. The location of the minimum of the entropy rate is less sensitive to the form of the parametrization but depends on the associated parameters. We determine the best-fitting equations for the location and magnitude of the minimum of the entropy rate in terms of the parameter/parameters of the dark energy equation of state. These relations would allow us to constrain the dark energy equation of state parameter/parameters for any given parametrization provided the evolution of the configuration entropy in the Universe is known from observations.