Don’t we just end up running into Gödel’s incompleteness theorem? Human ability to close this “linked chain” of generations will always have a “missing link”?

Don’t we just end up running into Gödel’s incompleteness theorem? Human ability to close this “linked chain” of generations will always have a “missing link”? An asteroid or... great filter due to environmental collapse! To me it always felt intuitively like being able to have perfect knowledge of all wave function collapses, all the states of every particle ever scale of a problem. There’s entropy too; no more information to pull from the universe sounds a lot like heat death to me. Are we chasing a biochemical feedback loop? There’s a lot of “unproven” math, to be casual Sunday night from a legal weed state about it ;) How much potential is there all of this boils down to our ability to so thoroughly convince ourselves of something’s correctness and it turns out there’s no Gods on top of that mountain?