An Arrow Parsed

While an arrow loosed cannot be returned, a bullseye unwitnnesed is bound equally by logic and physics. Who is to say, from perspectives that you know and trust, that the arrow is not still traveling halfway before the whole? Might one take an alternate route, a route shaped preferentially in time, and still beat any arrow unwitnessed to its target? 

A subconscious mistake made in the Butterfly Effect is thinking that a butterfly flaps its wings here and now, and a hurricane forms in the Atlantic in an hour. The effects of things on the fabric of spacetime take time to saturate. At some point one will know if the arrow struck its target or not, by the ripples left around the impact, but it will not be right away, or perhaps even soon. How many arrows have you regretted firing, though could still claim some uncertainty on if they landed?

Imagine firing an arrow off the side of the USS Enterprise at a target, right as the ship engages Warp 9 in the opposite direction. It is timed such that you do not witness the arrow hit the target. If the ship travels like this for an hour, you will be a number of light years away, meaning that the actual influence sphere of information from the arrow (like if your arrow set off a supernova) would be out of reach here, and will continue to be for a number of years. If you turn off comms, no information would reach you about the event, even from a logical/narrative perspective. If you then use time travel, you could return even years later and block the arrow, and not break causality from your own perspective, meaning that it would likely be a "valid move" from a technical perspective, despite the deep seeded instinct that the arrow must have hit first, regardless of your thorough lack of evidence, and airtight proof of the opposite having occurred.