@Olivier5,
Quote:Where or where does this guys says that one is obligated to think of oneself as immobile???
It is always the other guy's clock which runs slow (assuming inertial frames), and it is always the moving clock which runs slow. Do the math there.
Quote:A commonly heard phrase in the realm of special relativity is "Moving clocks run slowly". But—even in the context of special relativity—is it always true? The answer is no. It's only true when a clock's ageing is measured in an inertial frame. This assumption of inertiality might not always be stated explicitly in textbooks, but it's always there.
http://math.ucr.edu/home/baez/physics/Relativity/SR/movingClocks.html
Reordering the words: "when a clock's ageing is measured in an inertial frame [it is always true that] Moving clocks run slowly"
The very notion of a (non-accelerated) frame of reference presupposes motionless.
Of course this same requirement cannot be imposed on accelerating frames, because SR must acknowledge that accelerating motion is ABSOLUTE motion. A person in an aceelerating frame will see HIMSELF as moving (as will anyone else observing him from an inertial frame).
If Al passenger on the train (OP) had simply said: I remember buying my ticket. I remember accelerating. I knew I was moving then. I know the law of inertia. I must be moving now..
And then calculated accordingly, then there would be NO SR. He can't agree, if the speed of light is to be deemed constant in all frames. So, Al makes him assume he ISN'T moving. This notwithstanding the fact, that, in this very example, uses the fact that he is moving to explain why the lightning strikes are not simultaneous "for him>"