  The white-hole sector of Kruskal's solution is almost never used in physical
applications. However, it might contain the solution to many of the problems
associated with gravitational collapse and evaporation. This essay tries to
draw attention to some bouncing geometries that make a democratic use of the
black- and white-hole sectors. We will argue that these types of behaviour
could be perfectly natural in some approaches to the next physical level beyond
classical general relativity.
