Swamp Thing said:
Imagine that for some reason the current slow expansion of the universe is going to reverse, and the universe is going to collapse back to the pre-inflation state. [Let's make this an assumption without worrying about the mechnism]
Sorry, you can't just make assumptions and not worry about the mechanism, because if we don't have a theory that allows the scenario you assume as a solution, which I don't think we do (see below), we have no way of saying what will happen in your scenario.
Swamp Thing said:
we have a very dilute and cold distribution of energy, since everything has been processed by black holes in the crunch-and-evaporate process.
Since this certainly isn't the case now, I assume you're talking about some time very, very, very far in the future (something like ##10^70## years or more). How would the expansion of the universe reverse at that point?
Swamp Thing said:
Would it be okay to say, "assuming that the current acceleration is going to reverse at some stage" ?
No. Reversing the expansion is not the same as reversing the acceleration. The latter is a much less stringent condition than the former.
Swamp Thing said:
I'm no expert, but I gather that this has to do with the curvature of our spacetime.
No, it has to do with what kinds of stress-energy are present. Currently the universe is dominated by dark energy, and we expect that to remain the case forever into the future, in which case the expansion will continue to accelerate forever.
For your scenario to work, you would have to find a way to (a) get rid of the dark energy so the expansion can decelerate, and (b) somehow increase the overall density of stress-energy in the universe enough to be above the critical density, so the universe will stop expanding and start recollapsing. I don't know of any way to do either of those things within our current understanding of physics. If you can find a reference that seems to suggest a way, post it. But in the absence of one I don't think we have a well-defined model to discuss.