What can the information paradox tell us about the early Universe?
  In recent years we have come to understand how the information paradox is
resolved in string theory. The huge entropy $S_{bek}={A\over 4G}$ of black
holes is realized by an explicit set of horizon sized `fuzzball' wavefunctions.
The wavefunction of a collapsing shell spreads relatively quickly over this
large phase space of states, invalidating the classical black hole geometry the
shell would have created. We argue that a related effect may occur in the early
Universe. When matter is crushed to high densities we can access a similarly
large phase space of gravitational `fuzzball' solutions. While we cannot
estimate specific quantities at this point, a qualitative analysis suggests
that spreading over phase space creates an extra `push' expanding the Universe
to larger volumes.
