Hm. Do you recall the discovery in the past few years that, if you take two particles who have a matched, opposite spin, and you caused one to change direction, the other would change direction also, immediately, regardless of how far away it was, like the information was traveling faster than light?
What happens when you have one of these particles on earth, one on a spaceship, and the spaceship hypothetically reaches light speed? Time has stopped on the ship, so does the particle change or not? Can you change the particle on earth, or will it somehow become timeless? If the particle on the ship were set to turn off the light speed drive when it changed rotation direction, could you use that to return the ship to time?