Reshaping our understanding on structure formation with the quantum
  nature of the dark matter
  We study the non-linear structure formation in cosmology accounting for the
quantum nature of the dark matter (DM) particles in the initial conditions at
decoupling, as well as in the relaxation and stability of the DM halos.
Differently from cosmological N-body simulations, we use a thermodynamic
approach for collisionless systems of self-gravitating fermions in General
Relativity, in which the halos reach the steady state by maximizing a
coarse-grained entropy. We show the ability of this approach to provide answers
to crucial open problems in cosmology, among others: the mass and nature of the
DM particle, the formation and nature of supermassive black holes in the early
Universe, the nature of the intermediate mass black holes in small halos, and
the core-cusp problem.
