What is the process that causes a collapsing star to bounce back? Can someone explain the process by where a star collapses and bounces back.  I haven't been able to find a good explanation of the bounce.
Edit here, I was wondering specifically where the energy of the bounce comes from.  It seems like the mass must decrease in proportion, or the energy must have beens stored some other way. I guess the mechanism is not completely understood, or I would ask that question.
 A: The bounce, as opposed to the supernova which is still somewhat mysterious, is caused by a drastic hardening of the equation of state (EOS - the relationship between pressure and density).
Prior and during core collapse, the EOS is dominated by relativistically degenerate electrons - a relatively soft EOS. The beginning of core collapse (initiated either by photodisintegration of iron nuclei or the removal of electrons by electron capture) leads to increasing densities, and causes free electrons to combine with protons to form neutrons (neutronisation) whilst resultant neutrinos escape. This drastically softens the EOS further, leading to a free-fall collapse of the core on a dynamical timescale of about 1 second.
As the number density of neutrons increases, non-relativistic neutron degeneracy pressure becomes important. NRD neutrons are less compressible, but contrary to what is commonly stated, this pressure cannot halt the collapse alone. Instead it is the extreme hardening of the EOS due to the repulsive strong nuclear force between neutrons once they are closely packed (about $10^{-15}$ m) that stops the collapse. Because the collapse did not occur quasi-statically, but instead was a dynamic process, the inner core overshoots any kind of equilibrium position (in much the same way as when you compress a rubber ball). Once the collapse halts, the core is then able to rapidly expand outwards towards an equilibrium configuration and this what is termed "the bounce".
