A Study of Holographic Dark Energy Models with Configuration Entropy

Abstract

The holographic dark energy models provide an alternative description of the dark
energy. These models are motivated by the possible application of holographic principle to
the dark energy problem. In this work, we present a theoretical study of the one parameter
Li holographic dark energy and the two parameter Barrow holographic dark energy mod-
els using configuration entropy of the matter distribution in the Universe. The configuration
entropy rate exhibits a distinct minimum at a specific scale factor that corresponds to the
epoch, beyond which the dark energy takes a driving role in the accelerated expansion of
the Universe. We find that the location of the minimum and magnitude of the entropy rate
at the minimum are sensitive to the parameters of the models. We find the best fit relations
between these quantities and the parameters of each model. We propose that these relations
can be used to constrain the parameters of the holographic dark energy models from the fu-
ture observations such as the SKA. Our study suggests that the signature of a large quantum
gravitational effect on the future event horizon can be detected from the measurements of the
configuration entropy of the matter distribution at multiple redshifts.