Boltzmann and Tsallis statistical approaches to study quantum corrections at large distances and clustering of galaxies

Author:

Hameeda M.123,Gani Q.4,Pourhassan B.35,Rocca M. C.678

Affiliation:

1. Department of Physics, Government Degree College, Tangmarg, Kashmir 193402, India

2. Inter University Centre for Astronomy and Astrophysics, Pune, India

3. School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran

4. Department of Physics, Cluster University Srinagar, 190001, India

5. Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC V1T 2L7, Canada

6. Departamento de Física, Universidad Nacional de La Plata, Argentina

7. Departamento de Matemática, Universidad Nacional de La Plata, Argentina

8. Consejo Nacional de Investigaciones Científicas y Tecnológicas, (IFLP-CCT-CONICET)-C. C. 727, 1900 La Plata, Argentina

Abstract

Gravity is so different from other fundamental forces that it is now essentially treated as a nonfundamental force of entropic origin. Several good studies have been carried out in this direction. Quantum gravity is a theory which combines gravity well with quantum physics. However, there are still many impediments to our understanding, especially in the limits of extreme. The effects of quantum gravity start appearing on the scene at Planck length which is the smallest length in nature idealized so far. Although this study incorporates a model which is valid for potential energy corrections at small distances, we have also given a bold try to use it consistently for the corrections at very large distances as well. The model uses two techniques, namely, Boltzmann and Tsallis statistical approaches to explore the thermodynamics within the ambit of the braneworld model giving its further modified version. We have computed the partition function by using both Boltzmann and Tsallis statistical approaches and then used it to study the thermodynamics of the braneworld model. We have analyzed both analytically and graphically, the thermodynamic quantities like Helmholtz free energy and specific heat.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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