I have heard this mentioned several times with this exact wording, that faster than light travel would break/violate causality and I do not exactly understand why and how it would do that. Could someone more well-versed in physics explain to me why that would be the case? Or is it not the case? (Yes, I am fully aware, that faster than light speeds are impossible in real life, but I am more curios about how it would hypothetically affect physics, were it possible). I am somewhat familiar with physics and more so with mathematics (engineering student), if that helps anyone to explain it at an appropriate level.
Has anyone actually proven no violation of causality? Wikipedia seemed to suggest that it’s not physically impossible to have a wormhole, take one of the ends on a round trip so that it doesn’t age as much, and you’d be left with a situation where you can go in one end and come out in the past.
No—“no violation of causality” isn’t a physical law that can be formulated, much less proven. It’s just our intuitive feeling that anything physically possible should also be comprehensible.