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.

9 pages, 1 table and added references and explanations

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• 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