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.
So a weird experiment in this hypothetical situation would be: shine a light through the warped space and watch it come out the other end earlier than you sent it. If you see a flash of light come out, does that mean that you’re obliged to send that light into the future end of the distortion to create the flash of light that you’ve already seen coming out?