this movie is a story, and an allegory. (if you don't know what that is, look it up.) want some core reasons to stop the "what's possible" discussion right now?
1. the sun won't die for another 5 billion years, plus or minus. do you think human beings will even be alive on earth then? if so, do you think they will look, speak, eat and act pretty much the same way they do now? if we're still around in 5 billion years, do you think we'll still be completely unprepared for the death of our sun?
2. when the sun dies, it won't just fade out like an unattended fire in a fireplace. it will first swell into a red giant, somewhere between 200 and 700 times its current radius. scientists aren't sure if it will actually swallow the earth in the process, but they are sure that at the very least, it will boil the oceans and atmosphere off our planet. rather than chilling into a snow globe, the earth will be a charred rock.
3. the sun will eventually go out because it depletes its nuclear fuel. therefore, unless you have a missle filled with trillions of tons of hydrogen, simply sending a nuclear bomb/reactor into a nuclear reactor will do nothing.
therefore, the entire premise of the movie is technically untenable. given these facts, of which we can assume the writers, directors, etc. are largely aware, we should realize we need to move on, and examine the core ideas and metaphors presented by the film.
think about what the the events in the film tell us about human strength and fraility, uncertainty, greed, conflict, violence, power struggles, etc.
that will give you a start in the right direction.

Just One Not The Captain - Give It To Me!
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