Baryogenesis in non-extensive Tsallis Cosmology

Abstract

Non-extensive Tsallis thermostatistics is a widespread paradigm to describe large-scale gravitational systems. In this work we use Tsallis Cosmology to study thermodynamic gravity and derive modified Friedmann equations. We show that corrections induced by non-extensivity affect the Hubble function evolution during the radiation-dominated epoch. In turn, this leads to non-trivial modifications of the mass density and pressure content of the Universe, which provide a viable mechanism allowing for baryogenesis, even in the presence of the standard interaction between the Ricci scalar and baryon current. By demanding consistency with current observational bounds on baryogenesis, we constrain Tsallis $\delta$ parameter to be $|\delta -1|\simeq 10^{-3}$. Based on the recently established connection between Tsallis thermostatistics and the quantum gravitational generalization of the uncertainty principle at Planck scale (GUP), we finally show that this bound is in agreement with the estimation of the GUP parameter predicted by many quantum gravity models.

arXiv comment9 pages, 1 figure, 1 table

References in corpus (53)

• The World as a Hologram
• Thermodynamics of Spacetime: The Einstein Equation of State
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Lorentz invariance with an invariant energy scale
• Superstatistics
• Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
• The Generalized Uncertainty Principle and Black Hole Remnants
• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Recent Progress in Baryogenesis
• Black hole thermodynamical entropy
• Statistical mechanics in the context of special relativity
• Probing Planck-scale physics with quantum optics
• Gravity and the Thermodynamics of Horizons
• The algebraic structure of the generalized uncertainty principle
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Non-equilibrium Thermodynamics of Spacetime
• Nonextensivity and multifractality in low-dimensional dissipative systems
• Matter and Antimatter in the Universe
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Generalized Statistics and Solar Neutrinos
• Gravitational Baryogenesis
• Gravitational tests of the Generalized Uncertainty Principle
• Nonextensive thermodynamic relations
• Modified cosmology from extended entropy with varying exponent
• Modified Friedmann Equations from Tsallis Entropy
• GUP parameter from quantum corrections to the Newtonian potential
• Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
• Probing deformed commutators with macroscopic harmonic oscillators
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Generalized Uncertainty Principle and Corpuscular Gravity
• Relating Friedmann equation to Cardy formula in universes with cosmological constant
• Modified Unruh effect from Generalized Uncertainty Principle
• Modified cosmology through nonextensive horizon thermodynamics
• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
• Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
• Modified cosmology through Kaniadakis horizon entropy
• GUP parameter from Maximal Acceleration
• Correspondence of cosmology from non-extensive thermodynamics with fluids of generalized equation of state
• New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• Bekenstein bound and uncertainty relations
• New explanation for accelerated expansion and flat galactic rotation curves
• Baryon Asymmetry from the Generalized Uncertainty Principle
• Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
• q-generalized Tsallis thermostatistics in Unruh effect for mixed fields
• Long-range fluctuation-induced forces in driven electrolytes
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
• Tsallis thermostatics as a statistical physics of random chains
• Thermal fluctuations in crystalline membranes with long-range dipole interactions

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