Early Universe Test of Nonextensive Statistics

Within an early Universe scenario, nonextensive thermostatistics is investigated on the basis of data concerning primordial helium abundance. We obtain first order corrections to the energy densities and weak interaction rates, and use them to compute the deviation in the primordial helium abundance. After comparing with observational results, we get $|q-1\mathrm{}|<2.08\mathrm{}\times {10}^{-5\mathrm{}}$ as a bound for the nonextensive parameter.