H0 tension in Tsallis and Renyi statistics

TL;DR

This paper investigates how Tsallis and Renyi generalized statistics relate to the H0 tension in cosmology, showing that energy-time uncertainty relations constrain their parameters and offer insights into non-extensivity in the universe.

Contribution

It explores the connection between generalized statistical frameworks and the H0 tension, deriving constraints on Tsallis and Renyi parameters from uncertainty relations.

Findings

Energy-time uncertainty relations constrain Tsallis and Renyi parameters.

Non-extensivity signatures can be identified in cosmological observations.

The study links generalized statistics to the H0 tension problem.

Abstract

Motivated by recent attempts to study the implications of Tsallis and Renyi statistics in gravitational, cosmological, and astrophysical systems, the possible relationships between H0 tension and generalized statistics are explored. It is obtained that, in the light of H0 tension, the energytime uncertainty relations in Tsallis and Renyi statistics constrain the values of Tsallis and Renyi parameters. Hence, the way to find the footprints of non-extensivity in the universe is paved.