StarTravel @ Lightspeed

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SEE 10,000 YEARS INTO THE FUTURE: As a futurist, I sometimes come up with ideas way far out into the future, as well as near term. It's a strange future I have come up with! Flying across the stars in one's and zero's 010110010101, Destination another star system, eventually the whole entire galaxy is colonized by an advanced form of digital humanity! I am aware that the galaxy is 100k light years across. Assume that as colonization improves and eventually faster than light ways of traveling may become available, or maybe not?