Jeans mass and Gamow temperature: insights from q-Deformed systems

Abstract In this study, we investigate the potential for star formation within a gas system governed by q -deformed statistics. Our findings show that stars with masses below the conventional Jeans mass threshold can indeed form, with the specific formation depending on the value assigned to the deformation parameter q . In particular, the application of q -statistics allows the emergence of stars with reduced Jeans mass requirements. In addition, within the framework of q -deformed kinetic theory, the ignition temperature of a star may exhibit a decrease relative to the traditionally accepted Gamow temperature. This suggests important implications for the mechanisms driving star formation and the thermal dynamics in stellar bodies under the influence of q -deformation.