Generalized mass-to-horizon relation: A new global approach to entropic cosmologies and its connection to ΛCDM

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 asL 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 ΛCDM model, thus providing a new fundamental support for the origin and the nature of the cosmological constant.In general, if log γ < -3, and irrespective of the value of n, we find a very good agreement with the data comparable with ΛCDM from which, in Bayesian terms, our models are indistinguishable.