Particle physics research wouldn’t necessary help to make a time machine. Unless you invent one by accident (see: Primer, great film), you need the theory first. All we know so far is that “it’s not been proven impossible.”
Another reason it’s funny that particle physics is the branch mentioned is that it’s one of the only branches where you essentially NEED the theory first. Some particles are only found by very rare collisions, you can work out the rates using theoretical physics and therefore work out how many collisions your accelerator needs to do to have a chance of seeing one any time soon.
Astronomy would be another better field to have mentioned. If we can discover a wormhole, we’ll be halfway to making an actual time machine. (If one side spins faster than the other, time moves slower on that side, so over time a greater time difference would appear between the two sides)
However, my personal idea for an actual time machine is closer to a parallel universe traverser.

Particle physics research wouldn’t necessary help to make a time machine. Unless you invent one by accident (see: Primer, great film), you need the theory first. All we know so far is that “it’s not been proven impossible.” Another reason it’s funny that particle physics is the branch mentioned is that it’s one of the only branches where you essentially NEED the theory first. Some particles are only found by very rare collisions, you can work out the rates using theoretical physics and therefore work out how many collisions your accelerator needs to do to have a chance of seeing one any time soon. Astronomy would be another better field to have mentioned. If we can discover a wormhole, we’ll be halfway to making an actual time machine. (If one side spins faster than the other, time moves slower on that side, so over time a greater time difference would appear between the two sides) However, my personal idea for an actual time machine is closer to a parallel universe traverser.