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Related papers: Baryogenesis in non-extensive Tsallis Cosmology

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In this study, we explore the thermodynamic aspects of a modified version of Rastall's gravity theory and its implications for cosmological scenarios. We analyze the role of non-conserved energy-momentum tensor equations and investigate…

General Relativity and Quantum Cosmology · Physics 2025-12-01 José A. C. Nogales , K. Luz-Burgoa , Laysa G. Martins

By employing Tsallis' extensive but non-additive $\delta$-entropy, we formulate the first two laws of thermodynamics for gravitating systems. By invoking Carath\'{e}odory's principle, we pay particular attention to the integrating factor…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Petr Jizba , Gaetano Lambiase

The current status of implementing Tsallis (nonextensive) statistics on high-energy physics is briefly reviewed. The remarkably low freezeout-temperature, which apparently fails to reproduce the first-principle lattice QCD thermodynamics…

High Energy Physics - Phenomenology · Physics 2018-04-30 Abdel Nasser Tawfik

We revisit the issues on the thermodynamic property of stellar self-gravitating system arising from Tsallis' non-extensive entropy. Previous papers (Taruya & Sakagami, Physica A 307 (2002) 185 (cond-mat/0107494); ibid. (2002) in press…

Statistical Mechanics · Physics 2009-11-07 Atsushi Taruya , Masa-aki Sakagami

We consider Tsallis cosmology as an approach to thermodynamic gravity and derive the bound on the Tsallis parameter to be $\beta<2$ by using the constraints derived from the formation of the primordial light elements, Helium, Deuterium and…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-26 Anish Ghoshal , Gaetano Lambiase

We investigate the generation of the baryon asymmetry within the cosmological framework based on a generalized mass-to-horizon entropy. This entropy, recently proposed as a power-law extension of the Bekenstein-Hawking area law, arises from…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Giuseppe Gaetano Luciano , Emmanuel N. Saridakis

In the context of the gravity-thermodynamics conjecture based on the Tsallis entropy-area relation, we investigate the standard $\Lambda$CDM cosmology and examine some potential deviations from it. Utilizing recent updates from geometrical…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-25 N. Shahhoseini , M. Malekjani , A. Khodam-Mohammadi

We describe the evolution of the early and late universe from thermodynamic considerations, using the generalized non-extensive Tsallis entropy with a variable exponent. A new element in our analysis is the inclusion of a bulk viscosity in…

General Relativity and Quantum Cosmology · Physics 2021-02-10 I. Brevik , A. V. Timoshkin

Using the Tsallis generalized entropy, holographic hypothesis and also considering the Hubble horizon as the IR cutoff, we build a holographic model for dark energy and study its cosmological consequences in the Brans-Dicke framework. At…

General Relativity and Quantum Cosmology · Physics 2018-09-05 S. Ghaffari , H. Moradpour , I. P. Lobo , J. P. Morais Graça , Valdir B. Bezerra

We investigate a generalized entropic cosmology obtained by applying the gravity-thermodynamics conjecture to the Universe horizon using Kaniadakis statistics, namely a relativistic extension of the standard Boltzmann--Gibbs formalism. The…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Abdelhakim Benkrane , Giuseppe Gaetano Luciano

We analytically investigate the thermodynamic variables of a hot and dense system, in the framework of the Tsallis non-extensive classical statistics. After a brief review, we start by recalling the corresponding massless limits for all the…

Statistical Mechanics · Physics 2016-11-30 Trambak Bhattacharyya , Jean Cleymans , Sylvain Mogliacci

Within the Tsallis thermodynamics' framework, and using scaling properties of the entropy, we derive a generalization of the Gibbs-Duhem equation. The analysis suggests a transformation of variables that allows standard thermodynamics to be…

Statistical Mechanics · Physics 2009-11-07 Eduard Vives , Antoni Planes

We investigated evolution of metric and density perturbations for Tsallis model of holographic dark energy with energy density $\sim L^{2\gamma - 4}$, where $L$ is length of event horizon or inverse Hubble parameter and $\gamma$ is…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Artyom V. Astashenok , Alexander S. Tepliakov

We study coherent states associated to a generalized uncertainty principle (GUP). We separately analyze the cases of positive and negative deformation parameter $\beta$, showing that the ensuing probability distribution is a Tsallis…

General Relativity and Quantum Cosmology · Physics 2023-09-13 Petr Jizba , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

The nonextensive statistical ensembles are revisited for the complex systems with long-range interactions and long-range correlations. An approximation, the value of nonextensive parameter (1-q) is assumed to be very tiny, is adopted for…

Statistical Mechanics · Physics 2020-02-26 Yahui Zheng , Jiulin Du , Linxia Liu , Huijun Kong

We apply the holographic principle in the cosmological context through the nonadditive Tsallis entropy, used to describe the thermodynamic properties of nonstandard statistical systems such as the gravitational ones. Assuming the future…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Rocco D'Agostino

One of the fundamental challenges of quantum gravity is to understand how the microscopic degrees of freedom of the cosmological horizon shape the evolution of the Universe. One possible approach to this problem is based on the…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Yu. L. Bolotin , V. V. Yanovsky , D. A. Yerokhin

An investigation of black hole thermodynamics based on Tsallis statistical mechanics is explored through the study of the thermodynamics of a gas system located near the horizon of a black hole. In spite of the difficulty in exploring black…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

The article communicates gravitational baryogenesis in non-minimal $f(T)$ gravity and $f(T,B)$ teleparallel gravity where $T$ denote the torsion scalar and $B$ a boundary term. These extended teleparallel theories of gravity differ from the…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Snehasish Bhattacharjee

We comment on letter ``Is Tsallis Thermodynamics Nonextensive?'' by E. Vives and A. Planes [Phys. Rev. Lett. 88, 020601 (2002) cond-mat/0106428]. It is pointed out that the Euler and Gibbs-Duhem equations derived in the letter can serve to…

Statistical Mechanics · Physics 2007-05-23 V. Garcia-Morales J. Cervera