Dark Matter Distribution from Gravitational Entropy Evolution

Abstract

A recently introduced measure of the gravitational entropy evolution due to formation of structure in the universe provides a number of scaling laws, which generate a sequence of discrete inhomogeneities ranging from the particle physics scale to clusters and superclusters of galaxies. We demonstrate that from the growth of gravitational entropy, as manifestation of increasing inhomogeneity in a time evolving universe, the mean total mass content as well as core and dark matter halo radii of specific structure scales can be deduced where only Hubble’s parameter must be provided as input. The derived parameter spectrum characterizing the sequence of bound structure scales is critically analyzed in view of presently available observational material and found to reproduce remarkably well the hierarchy of known global inhomogeneity scales. The gravitational entropy concept provides also naturally a global constant dark energy background, shown to contribute with a fraction of ${{\Omega }_{q}}\sim 0.7$ to the density parameter and yielding in an ${{\Omega }_{0}}\sim 1$ universe the density of clustered matter ${{\Omega }_{m}}\sim 0.3$.