Human extinction; is it avoidable? Are there any plausible theories on how humans could survive forever?

Elon is that you?

"Deserve" is a meaningless concept to the universe at large anyway. We don't even have a noticeable influence on our solar system, let alone the universe. We, our planet, and everything on it, are nothing. Mathematically, we are so insignificant that our existence or nonexistence result in effectively identical states.