Number of information and its relation to the cosmological constant resulting from Landauer's principle

Abstract

Using a recent published formula for the number of information N that results from Landauer's principle we obtain an expression for the cosmological constant Λ. Next, assuming the universe as a system of mass M satisfying Landauer's principle and eliminating its mass M from the given expression for the number of information, we obtain a new expression that agrees with the expression derived by Lloyd. Furthermore, we modify the generalized entropy relation and three equivalent entropy expressions are obtained. Finally, in two different universes the time rate of change of the entropy is calculated. In a flat universe the time rate of the entropy is time independent and depends on fundamental constants of physics. © 2013 Springer Science+Business Media Dordrecht.