This is a scary question. You would be staring into complete nothingness.
I don't even think you'll be able to see anything either. There would be no light coming from the other side for your eyes to absorb.
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Just blackness and stars behind you until you get to the point that the light from stars have yet to reach. Which would be impossible unless you're traveling faster than light.
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weird because you'd have to be moving goddamn fast to keep up with the expansion
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Something like this.
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Inb4Winy
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The end is in sight.