Tsallis and Kaniadakis statistics from the viewpoint of entropic gravity formalism

Abstract

It has been shown in the literature that effective gravitational constants, which are derived from Verlinde's formalism, can be used to introduce the Tsallis and Kaniadakis statistics. This method provides a simple alternative to the usual procedure normally used in these non-Gaussian statistics. We have applied our formalism in the Jeans mass criterion of stability and in the free fall time collapsing of a self-gravitating system where new results are obtained. A possible connection between our formalism and deviations of Newton's law of gravitation in a submillimeter range is made.

arXiv commentTo appear in IJMPA

References in corpus (17)

• On the Origin of Gravity and the Laws of Newton
• Tests of the Gravitational Inverse-Square Law
• Statistical mechanics in the context of special relativity
• Non Linear Kinetics underlying Generalized Statistics
• Statistical mechanics in the context of special relativity II
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions
• Maximum entropy principle and power-law tailed distributions
• A new one parameter deformation of the exponential function
• Kappa-deformed Statistics and the Formation of a Quark-Gluon Plasma
• Generalized Kinetic Equations for a System of Interacting Atoms and Photons: Theory and Simulations
• Negative heat capacity and non-extensive kinetic theory
• New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
• Kinetical Foundations of Non Conventional Statistics
• Jeans criterion and nonextensive velocity distribution function in kinetic theory
• Jeans instability criterion from the viewpoint of non-gaussian statistics
• Non-extensive statistics and the stellar polytrope index

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• Corrections to Friedmann equations inspired by Kaniadakis entropy
• Composition law of $\kappa$-entropy for statistically independent systems
• Relativistic Roots of $\kappa$-Entropy
• Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects
• Heat capacity of Holographic screen inspires MOND theory
• Cosmological FLRW phase transitions and micro-structure under Kaniadakis statistics
• Modified cosmology through Kaniadakis entropy
• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• Nonlinear Kinetics on Lattices based on the Kinetic Interaction Principle
• Implications of maximum acceleration on dynamics
• Holographic dark energy in modified Kaniadakis cosmology
• The holographic origin of future singularities and the role of spatial curvature in cosmic expansion