Okay.
For this to work, you need to be aware of an experimentally demonstrable starting point: the speed of light (C) is the same no matter how fast you're going.
This is really weird. Normally, if you see a guy drive past at 30 mph, and he throws a ball forward from his car at a speed of 30 mph, the ball's gonna be going at 60 mph from your POV. But if that guy turns on a flashlight, the light won't move at C+30; it'll move at C.
This in turn suggests that to the guy driving at 30 mph (the wimp), the light is moving at C-30 from his POV...but no, even to him it's moving at C.
This is bizarre but true.
Right.
Imagine that Axem and I are going to have a gun duel. Because we're awesome, we're going to have this duel on a moving train car. Axem will stand at the front end of the car, and I at the rear.
When a light positioned exactly in the middle of the train car flashes on, that will be the signal to draw and fire. So as soon as the pulse of photons from the light, moving at C, strikes our eyes, we will fire.
We want to be extra sure that the duel is going to be fair, so we hire The_E to stand in the train car with us and verify that the light reaches each of us simultaneously. Since Axem, The_E and I are all inside the moving car with the light, we are all stationary relative to each other.
However, Axem's crazed fan Cobra sneaks onto a train platform that we pass at just the moment the light flashes. To Cobra, the train car - and the duelists within it, as well as the light - are moving rapidly across his reference frame from his left to his right.
Does The_E conclude that the duel is fair?
Does Cobra conclude that the duel is fair?
Recall that the speed of the light is independent of the motion of the source and that the criteria for fairness is that the light pulse reach both Axem and Battuta simultaneously.
Here's a picture:
| BATTUTA ........... LIGHT ............ AXEM| ------------------------------> direction of travel
COBRA