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The observable universe is very much finite. (And if speed of light is a barrier, than the observable universe is about the biggest thing we can ever influence.)

Sure, there will be lots of nice technology coming over the next century. No doubts about that.




Lets assume we develop technology to travel at near light speeds and go mad colonising the universe, what exactly contains us to the observable universe, move 4 light years in another direction and your observable horizon shifts


Except the expansion is happening faster than the speed of light.

http://curious.astro.cornell.edu/about-us/104-the-universe/c...




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