A scaling law for the cosmological constant from a stochastic model for cosmic structures

TL;DR

This paper proposes a stochastic model applying scaling laws to cosmic structures, linking the cosmological constant to the mass of dominant particles, offering insights into the cosmic coincidence problem.

Contribution

It introduces a novel stochastic approach that derives a scaling law connecting the cosmological constant with particle mass, providing a natural solution to the cosmic coincidence problem.

Findings

Mass of dominant particle proportional to the sixth root of the cosmological constant

Consistent with the Zeldovich scaling law

Suggests the observed cosmological constant results from stochastic scaling mechanisms

Abstract

A set of scaling laws, based on the stochastic motions of the granular components of astronomical systems, is applied to a cosmological model with a positive cosmological constant. It follows that the mass of the dominant particle in the observable universe must be proportional to the sixth root of the cosmological constant and of the order of the nucleon mass, which is consistent with the Zeldovich scaling law. The approach is a natural way to solve the cosmic coincidence problem. On the other hand, the observed value of the cosmological constant emerges as the result of a scaling law induced by the stochastic mechanism which gives rise to the gravitationally bound systems.