Gravitational partition function modified by superlight braneworld perturbative modes

In this paper, we will analyze the effects of superlight braneworld perturbative modes on clustering galaxies. present manuscript, use Boltzmann and Tsallis statistical approaches to study large distance modification gravity in braneworld. The impact modified potential galaxies is analyzed both approaches. infinities associated with Newtonian point mass approximation models removed using analytical extensions. regularized finite partition function obtained for system model used evaluate thermodynamic properties form equations state. Hence, quantities discuss about stability model. We find that number may lead instability. appealing feature paper revolve around generalization dimensional regularization (GDR) Bollini Giambiagi supplemented adequacy Tsallis.