Universal acceleration and fuzzy dark matter

Abstract

Observations of velocity dispersions of galactic structures over a wide range of scales point to the existence of a universal acceleration scale [Formula: see text][Formula: see text]m/s2. Focusing on the fuzzy dark matter paradigm, which proposes ultralight dark matter with mass around [Formula: see text][Formula: see text]eV and de Broglie wavelength [Formula: see text] parsecs, we highlight the emergence of the observed acceleration scale from quantum effects in a fluid-like description of the dark matter dynamics. We then suggest the possibility of a natural connection between the acceleration scale and dark energy within the same paradigm.