Physics + Afterlife? (Reincarnation through Natural Forces)

Hey, senior physics major from Penn State here. I think reincarnation is possible through natural forces:

Universe will expand forever by current observations (less than critical density). Schrodinger wave equation never drops to zero for free particles. Given x years (unimaginable huge number; all stars will have burned out), all particles will collapse to a single point. This will cause a big bang. (Reverses entropy, true, but entropy is only a statistical concept.) This will happen an infinite number of times. Given enough times, earth will reform, enough of those times, humans will evolve, et cetera et cetera until I am reborn. Given enough of those times, I will turn into the same person I am, for there are only a limited (although huge) number of possible influences and choices I can make.

Reincarnation through physics?