A generalized mass-to-horizon relation: a new global approach to entropic cosmologies and its connection to $\Lambda$CDM

Abstract

In this letter, we propose a new generalized mass-to-horizon relation to be used in the context of entropic cosmologies and holographic principle scenarios. We show that a general scaling of the mass with the Universe horizon as $M=\gamma \frac{c^2}{G}{L}^n$ leads to a new generalized entropy $S_n=\gamma \frac{n}{1+n}\frac{2\pi k_B{c}^3}{G\hslash }{L}^{n+1}$ from which we can recover many of the recently proposed forms of entropies at cosmological and black hole scales and also establish a thermodynamically consistent relation between each of them and Hawking temperature. We analyse the consequences of introducing this new mass-to-horizon relation on cosmological scales by comparing the corresponding modified Friedmann, acceleration, and continuity equations to cosmological data. We find that when $n=3$, the entropic cosmology model is fully and totally equivalent to the standard $\Lambda$CDM model, thus providing a new fundamental support for the origin and the nature of the cosmological constant. In general, if $\log \gamma <-3$, and irrespective of the value of $n$, we find a very good agreement with the data comparable with $\Lambda$CDM from which, in Bayesian terms, our models are indistinguishable.

arXiv comment9 pages, 1 table and added references and explanations

References in corpus (54)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The World as a Hologram
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Thermodynamics of Spacetime: The Einstein Equation of State
• Baryonic Features in the Matter Transfer Function
• On the Origin of Gravity and the Laws of Newton
• The Pantheon+ Analysis: Cosmological Constraints
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• Small Scale Cosmological Perturbations: An Analytic Approach
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Black hole thermodynamical entropy
• The Area of a Rough Black Hole
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Baryon acoustic oscillations with Lyman-$\alpha$ forests
• A Nested Sampling Algorithm for Cosmological Model Selection
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from anisotropic clustering analysis of the Quasar Sample in configuration space between redshift 0.8 and 2.2
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic power spectrum between redshifts 0.6 and 1.0
• New constraints on cosmological parameters and neutrino properties using the expansion rate of the Universe to z~1.75
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from the anisotropic power spectrum of the Quasar sample between redshift 0.8 and 2.2
• Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix
• Fast and reliable MCMC for cosmological parameter estimation
• Observational Constraints on Dark Energy and Cosmic Curvature
• Entropic Accelerating Universe
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: a tomographic measurement of cosmic structure growth and expansion rate based on optimal redshift weights
• Entropy of Static Spacetimes and Microscopic Density of States
• Friedmann Equations and Thermodynamics of Apparent Horizons
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the emission line galaxy sample from the anisotropic power spectrum between redshift 0.6 and 1.1
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Growth rate of structure measurement from anisotropic clustering analysis in configuration space between redshift 0.6 and 1.1 for the Emission Line Galaxy sample
• Entropic cosmology for a generalized black-hole entropy
• New Observational $H(z)$ Data from Full-Spectrum Fitting of Cosmic Chronometers in the LEGA-C Survey
• Setting the Stage for Cosmic Chronometers. I. Assessing the Impact of Young Stellar Populations on Hubble Parameter Measurements
• The Pantheon+ Analysis: Improving the Redshifts and Peculiar Velocities of Type Ia Supernovae Used in Cosmological Analyses
• Generalizing the running vacuum energy model and comparing with the entropic-force models
• The Pantheon+ Analysis: Evaluating Peculiar Velocity Corrections in Cosmological Analyses with Nearby Type Ia Supernovae
• Area-law versus Rényi and Tsallis black hole entropies
• Evolution of the universe in entropic cosmologies via different formulations
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: geometry and growth from the anisotropic void-galaxy correlation function in the luminous red galaxy sample
• Constraining the time evolution of dark energy, curvature and neutrino properties with cosmic chronometers
• Entropic-force dark energy reconsidered
• Entropic Inflation
• The local and distant Universe: stellar ages and $H_0$
• Constraining the expansion rate of the Universe using low-redshift ellipticals as cosmic chronometers
• Cosmological constraints from a joint analysis of cosmic growth and expansion
• CMB distance priors revisited: effects of dark energy dynamics, spatial curvature, primordial power spectrum, and neutrino parameters
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Thermodynamically consistent entropic late-time cosmological acceleration
• Thermodynamically consistent entropic-force cosmology

Cited by in corpus (10)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2
• Modified cosmology through generalized mass-to-horizon entropy: observational constraints from DESI DR2 BAO data
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Modified cosmology through generalized mass-to-horizon entropy: implications for structure growth and primordial gravitational waves
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model
• Mass-to-Horizon Relation and Entropy Beyond the Bekenstein-Hawking Limit
• Emergence of the cosmic space inspired by mass-to-horizon entropy
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution