Quantal distribution functions in non-extensive statistics and an early universe test revisited

TL;DR

This paper investigates the implications of non-extensive thermostatistics on early universe tests, deriving a tight bound on the non-extensive parameter using a factorization approximation.

Contribution

It revisits an early universe test within non-extensive statistics and establishes a restrictive bound on the non-extensive parameter q.

Findings

Bound on |q-1| < 4.01 x 10^-3

Uses factorization approximation in analysis

Reassesses early universe test validity

Abstract

Within the context of non-extensive thermostatistics, we use the factorization approximation to study a recently proposed early universe test. A very restrictive bound upon the non-extensive parameter is presented: $|q-1| < 4.01 \times 10^{-3}$.