If the Universe continues aging without end, then, at least from what I've read, random quantum fluctations must eventually produce all possible states of existence, given that anything that has a greater than zero probability must happen when given an infinite amount of time. From reading that essay, this includes de facto copies of you and me, living out the same lives we've lived, over and over again.
So, in a Big Rip scenario, would this be possible? Or would any particles that pop into existence in the vacuum just immediately be ripped apart? Would the expansion of space preclude the existence of any other thing whatsoever?