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that is a good question. i think it would either be dark, or we would see into the past, because we catch up with light that had left where we came from, so we would appear to be going backwards in time, as we caught up with light that had got further away from where we were. id love to claim that theory as my own, but im sure einstein said something like that a while ago. but to add to it, we coudl solve any crime we wanted, we would just need a powerful telescope, we could fly from whereever the crime occured at light speed, and we would eventually catch up with the image of what happened. so to answer the original question, we can see into the past, we just have to move faster than light to manage it.
"So Schrodinger's Cat is not only neither dead nor alive, but might also be sexually aroused by elbows and peanut butter?"
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