Cosmological model from the holographic equipartition law with a modified Rényi entropy

Abstract

Cosmological equations were recently derived by Padmanabhan from the expansion of cosmic space due to the difference between the degrees of freedom on the surface and in the bulk in a region of space. In this study, a modified Rényi entropy is applied to Padmanabhan's `holographic equipartition law', by regarding the Bekenstein--Hawking entropy as a nonextensive Tsallis entropy and using a logarithmic formula of the original Rényi entropy. Consequently, the acceleration equation including an extra driving term (such as a time-varying cosmological term) can be derived in a homogeneous, isotropic, and spatially flat universe. When a specific condition is mathematically satisfied, the extra driving term is found to be constant-like as if it is a cosmological constant. Interestingly, the order of the constant-like term is naturally consistent with the order of the cosmological constant measured by observations, because the specific condition constrains the value of the constant-like term.

arXiv commentFinal version accepted for publication in EPJC. The titile is revised and references are added. [12 pages, 4 figures]

References in corpus (101)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Planck 2015 results. XIII. Cosmological parameters
• The World as a Hologram
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Thermodynamics of Spacetime: The Einstein Equation of State
• The Cosmological Constant
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• On the Origin of Gravity and the Laws of Newton
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• The holographic principle
• Thermodynamical Aspects of Gravity: New insights
• Black hole thermodynamical entropy
• Evolution of the Scale Factor with a Variable Cosmological Term
• Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma
• Cosmological constant and vacuum energy: old and new ideas
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Cosmic anti-friction and accelerated expansion
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• The scaling evolution of cosmological constant
• The new form of the equation of state for dark energy fluid and accelerating universe
• Cosmologies with Energy Exchange
• Entropic Accelerating Universe
• Hubble expansion & Structure Formation in Time Varying Vacuum Models
• FRW Cosmologies with Adiabatic Matter Creation
• Rényi entropy and the thermodynamic stability of black holes
• Entropic cosmology: a unified model of inflation and late-time acceleration
• Expansion History with Decaying Vacuum: A Complete Cosmological Scenario
• Hints of dynamical vacuum energy in the expanding Universe
• Early Universe Test of Nonextensive Statistics
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Entropic cosmology for a generalized black-hole entropy
• Complete Cosmic History with a dynamical Lambda(H) term
• Entropic Corrections to Friedmann Equations
• Probing the cosmological viability of non-gaussian statistics
• Implications, consequences and interpretations of generalized entropy in the cosmological setups
• Long-term Evolution of Stellar Self-Gravitating System away from the Thermal Equilibrium: connection with non-extensive statistics
• Generalizing the running vacuum energy model and comparing with the entropic-force models
• Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution
• The $\bar{\Lambda }CDM$ cosmology: from inflation to dark energy through running $\Lambda$
• New Cosmic Accelerating Scenario without Dark Energy
• Emergent Gravity Paradigm: Recent Progress
• Evolution of the universe in entropic cosmologies via different formulations
• On phenomenological models of dark energy interacting with dark matter
• Thermodynamical interpretation of the geometrical variables associated with null surfaces
• Emergent perspective of Gravity and Dark Energy
• Power-Law Entropic Corrections to Newton's Law and Friedmann Equations
• Vacuum models with a linear and a quadratic term in H: structure formation and number counts analysis
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Entropic-force dark energy reconsidered
• Entropy evolution of universes with initial and final de Sitter eras
• Holographic Phases of Renyi Entropies
• Entropic Inflation
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• General form of entropy on the horizon of the universe in entropic cosmology
• A New Solution of The Cosmological Constant Problems
• Confronting Dark Energy Models using Galaxy Cluster Number Counts
• Post-$Planck$ constraints on interacting vacuum energy
• Emergence of Cosmic Space and the Generalized Holographic Equipartition
• Matter Non-conservation in the Universe and Dynamical Dark Energy
• Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology
• Cosmological constant vis-a-vis dynamical vacuum: bold challenging the $\Lambda$CDM
• Gravitational instability of polytropic spheres and generalized thermodynamics
• Cosmological Constant: A Lesson from Bose-Einstein Condensates
• Cosmological Constant from the Emergent Gravity Perspective
• Nonsingular Decaying Vacuum Cosmology and Entropy Production
• Background history and cosmic perturbations for a general system of self-conserved dynamical dark energy and matter
• Entropic cosmology in a dissipative universe
• Thermodynamical aspects of running vacuum models
• The cosmological constant and entropy problems: mysteries of the present with profound roots in the past
• Effective equation of state for running vacuum: "mirage" quintessence and phantom dark energy
• Thermodynamics with long-range interactions: from Ising models to black-holes
• Entropic Force Scenarios and Eternal Inflation
• Emergence of Cosmic Space and Minimal Length in Quantum Gravity
• Emergent Friedmann equation from the evolution of cosmic space revisited
• Renyi entropies of a black hole from Hawking radiation
• Friedmann equations in braneworld scenarios from emergence of cosmic space
• Constraining Entropic Cosmology
• Growth index of matter perturbations in running vacuum models
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• Abolishing the maximum tension principle
• Renormalization group approach to nonextensive statistical mechanics
• Cosmic microwave background radiation temperature in a dissipative universe
• Observational constraints on decaying vacuum dark energy model
• Is $\Lambda$CDM an effective CCDM cosmology?
• Accelerated expansion from cosmological holography
• Friedmann equations and emergence of cosmic space
• Relative information entropy in cosmology: The problem of information entanglement
• Higgs potential from extended Brans-Dicke theory and the time-evolution of the fundamental constants
• Modified Hawking temperature and entropic force: a prescription in FRW model
• Is Galaxy Distribution Non-extensive and Non-Gaussian?
• Generalized entropies and the expansion law of the universe
• CCDM model from quantum particle creation: constraints on dark matter mass
• Dynamical system approach to running $\Lambda$ cosmological models
• Varying constants entropic--$\Lambda$CDM cosmology
• Emergence of space and cosmic evolution based on entropic force
• A cosmological model from emergence of space
• Holographic Λ(t)CDM model in a non-flat universe

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• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Accelerated cosmos in a non-extensive setup
• Generalized entropies and corresponding holographic dark energy models
• A Note on Tsallis Holographic Dark Energy
• Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
• The generalized and extended uncertainty principles and their implications on the Jeans mass
• Tsallis holographic dark energy in the brane cosmology
• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Tsallis Agegraphic Dark Energy Model
• Tsallis and Kaniadakis statistics from a point of view of the holographic equipartition law
• Barrow's black hole entropy and the equipartition theorem
• The extended uncertainty principle inspires the Rényi entropy
• Kaniadakis Holographic Dark Energy in non-flat Universe
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Black hole thermodynamics in the Sharma-Mittal generalized entropy formalism
• Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Tsallis holographic dark energy in Fractal Universe
• Kaniadakis holographic dark energy in Brans-Dicke cosmology
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Inflation in the Rényi cosmology
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• On the equipartition theorem and black holes nongaussian entropies
• The third law of thermodynamics, non-extensivity, and energy definition in black hole physics
• Holographic dark energy in Rastall theory
• Study of Tsallis holographic dark energy model in the framework of Fractal cosmology
• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• RHDE models in FRW Universe with two IR cut-offs with redshift parametrization
• Emergence of fractal cosmic space from fractional quantum gravity
• Nonextensive entropies impact onto thermodynamics and phase structure of Kerr-Newman black holes
• Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Tsallis uncertainty
• Rényi Holographic Dark Energy
• Comparing teh holographic principle inspired dark energy models
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Tsallis' entropy, modified Newtonian accelerations and the Tully-Fisher relation
• Cosmological Constraints on Entropic Cosmology with Matter Creation
• Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
• Tsallis holographic dark energy under Complex form of Quintessence model
• Cosmology from String T-duality and zero-point length
• Evolution of dissipative and non-dissipative universes in holographic cosmological models with a power-law term
• The quantum effect on Friedmann equation in FRW universe
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Energy definition and dark energy: a thermodynamic analysis
• The Rényi holographic dark energy model in Chern-Simons gravity: some cosmological implications
• Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
• Interacting and Non-interacting Reńyi Holographic Dark Energy Models in DGP Braneworld
• A comprehensive analysis of Barrow holographic Chaplygin gas model reconstruction and its cosmological consequences
• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization
• Thermodynamic Prescription of Cosmological Constant in Randall Sundrum-II Brane
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• H0 tension in Tsallis and Renyi statistics
• Constraints on Rényi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis
• Ideal gas with a varying (negative absolute) temperature: An alternative to dark energy?
• Cosmological scenario based on the particle creation and holographic equipartition
• Multicomponent holographic dark energy model with generalized entropy
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model
• Phase space analysis of Rényi Holographic dark energy model
• Hawking-Rényi thermodynamics of rotating black holes from locally Kiselev-type behavior
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution