Yeah our sun won't "blow up" in an impressive display of supernova goodness, but when it does reach the end of it's life cycle (about 6 billion years from now) it will undergo several periods of contraction and expansion due to the lack of hydrogen (converted to helium)- there won't be enough fusion reactions to support the star's massive weight. The core collapses until the helium begins to burn into carbon, while the remaining hydrogen expands and burns itself quicker due to the increased surface area- the expansion of the star (into a red giant) will stop a few million kilometres from earth, turning it into a red molten ball. This outer sphere of hydrogen and helium disperses aroudn the solar system, leaving the core of carbon, a white dwarf.
So if we managed to live a few billion years, we'd die a horrible burning death, not a cold frozen one.
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"Asking a bomb squad if an old bomb is still "real" is not the best thing to do if you want to save it." - denim
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