  It was recently shown that gravitons with a very small mass should have
formed a Bose-Einstein condensate in the very early Universe, whose density and
quantum potential can account for the dark matter and dark energy in the
Universe respectively. Here we show that the condensation can also naturally
explain the observed large scale homogeneity and isotropy of the Universe.
Furthermore gravitons continue to fall into their ground state within the
condensate at every epoch, accounting for the observed flatness of space at
cosmological distances scales. Finally, we argue that the density perturbations
due to quantum fluctuations within the condensate give rise to a scale
invariant spectrum. This therefore provides a viable alternative to inflation,
which is not associated with the well-known problems associated with the
latter.
