Landauer principle in cosmology as the link to information theory

Abstract

We demonstrate a deep connection between cosmology in thermodynamic description of apparent horizon and information theory. In particular, we show how the Landauer principle gets satisfied during the entire cosmic evolution of the universe starting from inflation to the late dark energy era. This in turn reveals why the matter fields are not in thermal equilibrium with the apparent horizon during most of the cosmic era of the universe, except for the fluids with $\omega = -1/3$ leading to the transitions of the universe from an accelerating to a decelerating era and vice-versa.