Scalar Field Cosmology II: Superfluidity, Quantum Turbulence, and
  Inflation
  We generalize the big-bang model in a previous paper by extending the real
vacuum scalar field to a complex vacuum scalar field, within the FLRW
framework. The phase dynamics of the scalar field, which makes the universe a
superfluid, is described in terms of a density of quantized vortex lines, and a
tangle of vortex lines gives rise to quantum turbulence. We propose that all
the matter in the universe was created in the turbulence, through reconnection
of vortex lines, a process necessary for the maintenance of the vortex tangle.
The vortex tangle grows and decays, and its lifetime is the era of inflation.
These ideas are implemented in a set of closed cosmological equations that
describe the cosmic expansion driven by the scalar field on the one hand, and
the vortex-matter dynamics on the other. We show how these two aspects decouple
from each other, due to a vast difference in energy scales. The model is not
valid beyond the inflation era, but the universe remains a superfluid
afterwards. This gives rise to observable effects in the present universe,
including dark matter, galactic voids, non-thermal filaments, and cosmic jets.
