That goes back to Tipler.
Tipler went further though, he argued that if the universe ends in a big crunch there's a way around the Landauer limit that allows for infinite computation in finite time - the universe would, in a sense, never have to end.
But since then it looks like dark energy means never ending expansion. Doh.
Theoretically perhaps, but despite what our internal self-perception would suggest, none of us reading this are actually important enough to resurrect later.
Before LLMs, one would think that about web pages. Now we have The Pile with everything that could be scrapped, regardless of importance or quality.
Well, if you wait long enough, it'll happen by happenstance.
Something something Roko’s basilisk?