Finite Tsallis Gravitational Partition Function for a System of Galaxies

TL;DR

This paper develops a finite gravitational partition function for galaxies using Tsallis statistics and dimensional regularization, providing insights into galaxy clustering and large-scale structure formation.

Contribution

It introduces a method to regularize the divergences in the Tsallis gravitational partition function for galaxies, enabling thermodynamic analysis of cosmic structures.

Findings

Finite gravitational partition function obtained

Enhanced understanding of galaxy clustering

Application of Tsallis statistics to cosmology

Abstract

In this paper, we will study the large scale structure formation using the gravitational partition function. We will assertively argue that the system of gravitating galaxies can be analyzed using the Tsallis statistical mechanics. The divergences in the Tsallis gravitational partition function can be removed using the mathematical riches of the generalization of the dimensional regularization (GDR). The finite gravitational partition function thus obtained will be used to evaluate the thermodynamics of the system of galaxies and thus, to understand the clustering of galaxies in the universe. The correlation function which is believed to contain the information of clustering of galaxies will also be discussed in this formalism.