Abstract
In this paper 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 leads to a new generalized entropy 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 analyze 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 , the entropic cosmology model is fully and totally equivalent to the standard model, thus providing a new fundamental support for the origin and the nature of the cosmological constant. In general, if , and irrespective of the value of , we find a very good agreement with the data comparable with from which, in Bayesian terms, our models are indistinguishable.
- Received 14 July 2023
- Accepted 1 April 2024
DOI:https://doi.org/10.1103/PhysRevD.109.084075
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