  The information paradox can be resolved if we recognize that the
wavefunctional in gravity $\Psi[g]$ should be considered on the {\it whole} of
superspace, the space of possible $g$. The largeness of the Bekenstein entropy
implies a vast space of gravitational solutions, which are conjectured to be
fuzzball configurations. In the WKB approximation, the wavefunctional for a
collapsing shell is oscillatory in a small region of superspace, and the
classical approximation picks out this part. But the wavefunctional will be
damped (`under the barrier') in the remainder of this vast superspace. We
perform a simple computation to show that at the threshold of black hole
formation, the barrier is lowered enough to make the latter part oscillatory;
this alters the classical evolution and avoids horizon formation.
