Missing information in the Universe as a dark matter candidate based on the mass-energy-information equivalence principle

There are several theoretical models proposing dark matter candidates as well as different experimental searches for dark matter, collider, and non-collider ones. One of the most intriguing dark matter candidates is missing information in the cosmos. This is based on the mass-energy-information equivalence principle presented by M Vopson [1]. This review presents the historical development of this principle from its roots in the 1960s when Landauer principle was firstly presented to the latest data on the estimated value of the mass of one bit of information as well as data on missing energy as potential dark matter. Another theoretical discussion presented here is the reformulation of the second law of thermodynamics as a possible step to great unification. In addition to this theoretical postulation with a mathematical presentation focusing on statistics, we present some of the proposed experiments in this field. Two major proposals are in the direction of using an ultra-accurate balance with measurement uncertainty low enough to be comparable with proposed theoretical limits, and originally developed sensitive interferometer similar to the one in LIGO experiment.