I understand einstein's train paradox. Where one man on a platform is passed by a man in a traincar, at the moment they meet a flash of light is given off in the middle of the train car. To the man on the platform the light hits the ends of the car at opposite moments in time. To the man in the train car they hit at the same time.
The man on the train sees the ends of the car at a fixed distance from each other, thus the light hits each end at the same time (same distance to travel). The man on the platform however sees the rear of the car catching up to the light while the front is moving away from it (light going to the front of the train has longer distance to go).
So, the only reason the light ever reaches the front of the wall is because it is not moving at the speed of light. Light catches up to it.
How would this experiment be different if the train is moving at the speed of light?
To the man on the train nothing would change I would have to say, because he is in his same reference frame of the train still. The man on the platform though, what would he see?
Would he see light hit the back of the train at the exact same time the flash happens, and never see the flash hit the front of the train but always [length of train car]/2 meters away from the front of the train car?
Edit: Looks like I forgot to say this is a hypothetical question. Unless one of you all have a speed of light train, this question is purely a thought experiment. If that does not satisfy you, then yes I have a train that does 671 million mph and I am just trying to understand my results of the first test run.