Renyi entropy as a measure of cosmic homogeneity

TL;DR

This paper introduces a Renyi entropy-based method to assess cosmic homogeneity in three-dimensional distributions, effectively identifying inhomogeneities and transition scales in cosmological data.

Contribution

The paper presents a novel application of Renyi entropy for testing cosmic homogeneity using simulation data, enabling detection of inhomogeneities and transition scales.

Findings

Effective characterization of inhomogeneities

Identification of transition scales to homogeneity

Applicable to current and future galaxy surveys

Abstract

We propose a method for testing homogeneity in three dimensional spatial distributions using Renyi entropy. We apply the proposed method to data from cosmological N-body simulations and Monte Carlo simulations of homogeneous Poisson point process. We show that the method can effectively characterize the inhomogeneities and identify any transition scale to homogeneity, if present in such distributions. The proposed method can be used to study the cosmic homogeneity in present and future generation galaxy redshift surveys.