Here's a link to an article that discusses the possiblity of our Earth surviving the explosion of Sol, our sun. It's interesting in that it may be possible for the planet to survive the time when Sol expands into a red giant (I don't think a red super giant is possible due to the limited mass of our sun, which, on a stellar scale, is simply small-to-average).
That's nice for the planet, of course. But will any life survive the evolution of our sun into the red giant stage? It doesn't seem likely. Anyway, that's five billion years away, give or take a few hundred million years. And if humanity manages to survive to that point in the future, I'm sure we'll either A. have evolved to the point where it's no problem to simply build a new planet, or ringworld, or dyson sphere or B. we'll have devolved into some lower form. In either case, its possible that neither version of our "successor species" will recognize any kinship with us.
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