I dont know if this is the correct place to ask this, because is highly speculative and maybe even hard scifi. But... I think is less speculative than the many worlds interpretation of QM or many aspects of string theory :D and not so a big deal, just a little idea. What follows is from a new interview with Freeman Dyson:
… It’s this idea that you talked about a while ago that potentially intelligent beings may be capable of thinking an infinite number of thoughts in an open expanding universe. Do you know which proposal I’m talking about?
Yes well, of course in those days when I wrote that, about thirty years ago, everybody then believed that the universe is expanding linearly with a constant velocity of a given object.
And now we know that the universe is accelerating – that’s the discovery of the last ten years – and in an accelerated universe everything is different so that whole discussion, in fact, is now wrong. I don’t think we know enough about the accelerating universe to go over it and see how it’s changed.
Are you saying that due to the idea that the universe is accelerating it potentially changes your idea about how we think and the capability of thinking?
Yes. In a very drastic way. It’s bad news if we really are accelerating all the time in the future.*
Why the accelerating universe changes the possibility of this evolved thinking? I think its an interesting cross-field discussion mixing physics, computer science and philosophy. If some of us discuss Boltzmann Brains, Quantum Computing universe and "Fermi paradox, this is not different.