((As for the timey-wimey debate, there are realistically only two ways I can see that a person could travel into the past. Only one ACTUALLY travels into the past, and it kinda makes paradoxes impossible.
First way is basically to "record" the position of matter and energy within a confined space with some stupidly advanced spy satellite shit and then just "rewind" it back to whenever you wanted to go back to.
This isn't REAL time travel and you could only go as far as when you first started recording, so no paradoxes.
Second way is dependent on the typical "wormhole" shenanigans. STEPHEN HAWKING discussed this once about how there are billions of tiny wormholes on a sub-atomic level all over the place that connect different times and such, but the basic idea is pretty much wormhole acts like a tunnel between two times. The problem STEPHEN HAWKING addressed with this is a person could do something like shooting themselves at the past end of a wormhole staring at themselves and fuck time.
He proposed the universe fixes this through feedback. Basically the wormholes would just collapse instantly, preventing shenanigans.
*I* propose the universe could conversely fix the issue through DISTANCE. Specifically for every second that one goes in the past, they are also propelled a light-second in space. Since nothing can move faster then light, nothing could ever reach a point in which they could paradox shit up.))