But I don't see where that clashes with galilean transformations :s
Hello, new here, today is the day before my physics exams and I am having a few mental problems with my relativity study . Sorry if I seem newbish, I am but a 17 year old student.
Anyway, on with the question.
According to one of maxwell's equations, the speed of light depends only on the electromagnetic constants of what its travelling through. No problem there, but then I dont see why this causes a clash with classic transformations.
We say that A is cycling at 0.5c towards observer B, and shines a flashlight. Then we say that both see the light travelling at speed c. I can understand why light cannot exceed c, but the way I see it light doesnt necessarily have to appear to be c for observer A?
If it is thought of as totally independant of A's velocity, then why cant it just take off and travel 0.5c faster than observer A, so to him it appears to move away at 0.5c whereas to B it appears to be c?
In effect I suppose, I am challenging the second postulate. What proof is there for it, because as I see it simply that the speed of light is independant of the source is insufficient to say it is the same for all inertial observers.
Furthermore, why couldnt someone move away from light at speed 0.5c and have it catch up to them at c?
So basically, why must light appear to be c and not less than c? And if that can be proven with some explanation, then why does it occur in this scenario?
Thanks