Probing the cosmological viability of non-gaussian statistics

TL;DR

This paper explores how non-Gaussian statistical theories influence cosmological models by modifying gravitational interactions, and tests their compatibility with observational data using various cosmological probes.

Contribution

It introduces a novel interpretation of universe dynamics incorporating non-Gaussian entropy, and assesses observational constraints on these modifications.

Findings

Non-Gaussian statistics alter the effective gravitational constant.

Cosmological data constrains the extent of non-Gaussian effects.

Modified models remain compatible with current observations.

Abstract

Based on the relationship between thermodynamics and gravity we propose, with the aid of Verlinde's formalism, an alternative interpretation of the dynamical evolution of the Friedmann-Robertson-Walker Universe. This description takes into account the entropy and temperature intrinsic to the horizon of the universe due to the information holographically stored there through non-gaussian statistical theories proposed by Tsallis and Kaniadakis. The effect of these non-gaussian statistics in the cosmological context is change the strength of the gravitational constant. In this paper, we consider the $w$CDM model modified by the non-gaussian statistics and investigate the compatibility of these non-gaussian modification with the cosmological observations. In order to analyze in which extend the cosmological data constrain these non-extensive statistics, we use type Ia supernovae, baryon acoustic oscillations, Hubble expansion rate function and the linear growth of matter density perturbations data.