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we live in an explosion
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this post was submitted on 14 Apr 2024
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Alternately since we're Earthlings, someone designing a time machine might think it's a good idea to automatically calculate the location using the Earth as a reference point because that's likely to be the most common use case and doing so would prevent you from dying to the void of space if you make a tiny math error. At which point you would just need to input the destination time if the target is the same location relative to Earth.
Or maybe the time travel happens by warping space in the first place (since you need to somehow overcome the speed of light problems anyway). Seems like a good job for a wormhole if someone wanted to write around the space/time/motion rules.
Wouldn't matter, because the problem isn't about space or motion, but about position. If you jump backwards in time but your position in the universe doesn't change then you are probably no longer on earth because the Earth moves about the sun, etc. To land somewhere meaningful, you'd have to calculate the target location relative to some reference point with a predictable location and as Earthlings we'd probably pick the Earth itself unless this is a time traveling spacecraft.