From Black Hole quantization to universal scaling laws

TL;DR

This paper explores how black hole quantization and scaling laws can unify quantum mechanics and gravity, providing insights into cosmic structure formation and estimating the cosmological constant from matter density.

Contribution

It proposes a unified scheme linking primordial black hole quantization to universal scaling laws, connecting quantum gravity with cosmological observations.

Findings

Recovered observed angular momenta and radii of cosmic structures

Estimated the cosmological constant from matter density

Supported a unified quantum-gravity framework for structure formation

Abstract

Significative developments on the primordial black hole quantization seem to indicate that the structure formation in the universe behaves under a unified scheme. This leads to the existence of scaling relations, whose validity could offer insights on the process of unification between quantum mechanics and gravity. Encouraging results have been obtained in order to recover the observed magnitudes of angular momenta, peculiar radii and virialized times for large and small structures. In the cosmological regime, we show that it seems possible to infer the magnitude of the cosmological constant in terms of the matter density, in agreement with the observed values.