Origin of structure: Statistical characterization of the primordial
  density fluctuations and the collapse of the wave function
  The statistical properties of the primordial density perturbations has been
considered in the past decade as a powerful probe of the physical processes
taking place in the early universe. Within the inflationary paradigm, the
properties of the bispectrum are one of the keys that serves to discriminate
among competing scenarios concerning the details of the origin of cosmological
perturbations. However, all of the scenarios, based on the conventional
approach to the so-called "quantum-to-classical transition" during inflation,
lack the ability to point out the precise physical mechanism responsible for
generating the inhomogeneity and anisotropy of our universe starting from and
exactly homogeneous and isotropic vacuum state associated with the early
inflationary regime. In past works, we have shown that the proposals involving
a spontaneous dynamical reduction of the quantum state provide plausible
explanations for the birth of said primordial inhomogeneities and anisotropies.
In the present manuscript we show that, when considering within the context of
such proposals, the characterization of the spectrum and bispectrum turn out to
be quite different from those found in the traditional approach, and in
particular, some of the statistical features, must be treated in a different
way leading to some rather different conclusions.
