  We discuss status of the singularity problem in General Relativity and argue
that the requirement that a physical solution must be completely free of
singularities may be too strong. As an example, we consider properties of the
integrable singularities and show that they represent light horizons separating
T-regions of black and white holes. Connecting an astrophysical black hole to a
white hole, they lead to a natural mechanism of generating new universes. Under
favorable conditions the new universes will also contain black holes which, in
their turn, will give rise to another generation of universes. In this case the
cosmological evolutionary tree will continue to grow to form the "hyperverse".
This scenario essentially differs from other known mechanisms, such as bounce,
birth from "nothing", baby-universe scenario, etc.
