Non-Gaussian Saha ionization equation in Rindler space

This paper investigates the non-Gaussian effects of the Saha equation in Rindler space via Tsallis statistics. By considering a system with cylindrical geometry and the equivalence principle, we deduce the non-Gaussian Saha ionization equation for a partially ionized hydrogen plasma that expands with uniform acceleration. We examine the photoionization of hydrogen atoms and the electron-positron pair production at high temperatures. Our findings reveal that the non-Gaussian binding energy exhibits a quadratic dependence on the gravitational field, in contrast to the linear dependence predicted by Boltzmann-Gibbs statistics. Hence, both photoionization and pair production are more intensely suppressed in regions with a strong gravitational field in a non-Gaussian context than in the Boltzmann-Gibbs framework. Finally, constraints on the gravitational field and the electron and positron chemical potentials are derived.