Neddy Bate
Valued Senior Member
Which again, would be impossible for the lights to reach the end of the train simultaneously from a single source at the midpoint of the train.
Say the train observer flashed a light from the midpoint when A and B on the train lined up with A and B on the embankment. It is simply impossible for the light to reach the front and back of the train simultaneously. That's like saying it takes the same time for light to reach you from a lamp post if you run towards it when light is emitted, and when you run away from it when light is emitted. It's simply impossible for light to travel the same distance in both scenarios.
It's not impossible. Imagine you are the embankment observer, and when you look at the train clocks, you see that they are set in such a way that the clock at the rear of the train is ahead of the clock at the front of the train.
1. You see the light from the center of the train reach the rear train-clock first, but that train-clock is set ahead, so it recorded a longer travel time for the light, compared to what you would say is true.
2. You see the light from the center of the train reach the front train-clock later, but that train-clock is set behind, so it recorded a shorter travel time for the light, compared to what you would say is true.
3. The travel times for both light signals are measured to be the same according to the train clocks. Thus, the train observer says they reached the ends of the train simultaneously.
4. Meanwhile, you were on the embankment, and you said that the light signals did not reach the ends of the train at the same time. "Relativity of Simultaneity"!