A Quantum Complete Prelude to Inflation
  It is shown that the inflationary paradigm admits quantum complete extensions
of space-time. The extended inflationary spacetimes still have geodesic
borders, but quantum fields are prohibited from migrating across these borders
by their evolution semigroups. The geodesic singularities lurking across the
borders lack a physical description because the evolution semigroups give
vanishing probabilistic support to quantum fields for populating regions
bordering on these singularities. As an example, anisotropic Bianchi type-I
cosmologies are shown to be quantum complete preludes to inflation. They admit
Kasner-like geometries close to their geodesic borders. Quantum fields enjoy a
contractive evolution in these asymptotic regions and ultimately become free.
As a consequence, quantum probes cannot migrate across the geodesic border of
Bianchi type-I cosmologies.
