Hi all, as a complete noob, I must first ask that people understand that I have only a layman's understanding of cosmology. However, after watching a few of Brian Cox's lectures on entropy and the heat death of the universe, I had a rather interesting thought (although as I am not a cosmologist, this maybe just uneducated ramblings). So here we go: If we take the state of the universe after the last black hole has evaporated due to Hawking radiation, all we should have left is a vast soup of particles, all at a few millionths of a degree above absolute zero. In every website and book have been able to read, it usually states that this situation will then continue until the end of time (although some state that time itself is effectively stopped, as there will be no more changes and therefore it would be impossible to measure time). It occurred to me that no one seems to have considered Feynman's path integral, which calculates the probability of a particle being in a particular place at a particular time. One of the parameters of this integral is time, and if this parameter is set to near infinity (as we would have in the case of the heat death) then I think there may be a possibility that the most improbable events could eventually occur. Would this not mean that given enough time all the particles in the heat death universe could eventually converge to one single location simply due to quantum effects alone, thus effectively reversing entropy? Could this generate a situation similar to the first few microseconds after the big bang? So can someone please shoot some holes in this idea?