Suppose the universe is infinite in spacetime (both space and time have no bounds). In this spacetime, a cyclic appearance of particles occurs (cyclic big bangs). When I'm alive I experience this spacetime. When I'm dead these experience is gone, though spacetime itself (whatever its Nature) continues to exist. Because the spacetime is infinite there will someday appear a big bang resulting in a universe with the same father and mother I have in this universe (though the circumstance might be different) and they will have a daughter or son. As I'm dead I don't feel the passage of an arbitrarily large time interval. This means that the moment I die I'm reborn again.
What's the flaw in my reasoning, if there is any?