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> how long will it take us to colonize the galaxy

The Milky Way is 100,000 light-years across. So at least that long assuming we can ever attain near-light-speed travel (unlikely). And due to cosmic inflation, many other galaxies are receeding at faster than light speed, so we could never get there.

There could be a lot of intelligent life (as intelligent as us, maybe more so) that can never realistically travel beyond their local star systems, and we'd never notice them.



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