  The most distinctive feature of the primordial density inhomogeneities that
existed in the cosmic plasma at the instant of decoupling is their scale
invariant power spectrum ${\cal P}(k) \sim k$ over the range $k \ll H_{eq}$ of
modes with cosmologically large comoving wavelength. We characterize this
feature in real space, in terms of their correlation function at two points. We
show that over cosmologically large comoving distances $r \gg H^{-1}_{eq}$ the
primordial inhomogeneities were (anti)correlated as $f(r) \sim - r^{-4}$. We
revisit the so-called {\it origin of structures problem} of the standard
cosmology at the light of this observation. Our conclusions contradict the
current wisdom on this issue.
