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Jun 23 at 19:20 history edited Aiden CC BY-SA 4.0
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Jun 23 at 19:10 history edited Aiden CC BY-SA 4.0
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Jun 23 at 17:43 comment added Aiden @AidanBeecher I've updated my answer to address these questions. In short, it depends on your coordinate system. The biggest issue with such trajectories is the breakdown of causality.
Jun 23 at 17:42 history edited Aiden CC BY-SA 4.0
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Jun 23 at 10:55 comment added Aidan Beecher I think this makes sense, thank you. My last question has to do with the fact that $dt/ds=0$ in this case. If such a particle does not move through time, is that the same as saying that it only exists for an instant? Does it exist at all points in $x$ simultaneously? Or does it not make sense to ask what we would observe of this particle for some reason?
Jun 23 at 10:46 vote accept Aidan Beecher
Jun 23 at 7:55 history edited Aiden CC BY-SA 4.0
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Jun 23 at 7:48 history answered Aiden CC BY-SA 4.0