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

TL;DR

This paper derives a new expression for the cosmological constant based on Landauer's principle and information theory, linking it to the universe's entropy and fundamental constants.

Contribution

It introduces a novel formula connecting the number of information to the cosmological constant and explores entropy relations in different universe models.

Findings

Derived a new expression for Lambda from information theory.

Found that entropy rate in a flat universe is time-independent.

Connected entropy change to fundamental physical constants.

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 Lambda. 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 one 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.