> Even if some of the wilder speculations are true and it's possible for our universe to spawn baby universes, that doesn't get us literal immortality. To live significantly past a googolplex years without repeating yourself, you need computing structures containing more than a googol elements, and those won't fit inside a single Hubble volume.
> And a googolplex is hardly infinity. To paraphrase Martin Gardner, Graham's Number is still relatively small because most finite numbers are very much larger. Look up the fast-growing hierarchy if you really want to have your mind blown, well, eternity is longer than that. Only weird and frankly terrifying anthropic theories would let you live long enough to gaze, perhaps knowingly and perhaps not, upon the halting of the longest-running halting Turing machine with 100 states.
This literally says "eternity is very very long".