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A scaling relation between mass and minimal information of a given system is inferred fromprimordial black holes. Extending its validity, it is possible to describe different stages of theuniverse evolution. Particularly, the broad interest on matching the scaling law, from early to lateredshift regimes, may suggest the mechanism to relate quantum and classical aspects of gravity. Under this hypothesis, the scaling relation is interpreted as a thermodynamic modification ableto describe the cosmological dynamics at late times. In this scheme, dark energy emerges, as aconsequence of assuming the validity of our scale relation. The corresponding equation of statereduces to a cosmological constant at early times and evolves in terms of the apparent horizon atlate times

A Cosmological Scaling Relation for Describing the Late Time Dynamics