Nice idea but the sad truth is that we will be extinct before we can do that.
English
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What if we gain the technological feats to carry stars around to warm the planet, and when a star reaches a certain age, we let go of it. But 15 billion years until life on earth is heat wiped by the sun. Son, do you know how long that is? That's 15x100million years.
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5 billion. Still lots of time though. But its not only the sun that can kill us.