@layman,
layman wrote:
Only the earth's frame of reference gives you the CORRECT answer. Using the travelling twin's frame gives you "an" answer, but it is an INCORRECT one (according to SR, he will say the earth twin's clock is the one that slowed down, and therefore that the earth twin is aging more slowly).
If we blast a rocket off toward the moon, we all know that igniting the rocket fuel did NOT suddenly push the earth away from, and start attracting the moon toward, the rocket, while the rocket itself remains perfectly motionless.
We can say that, while he is accelerating, the astronaut feels enhanced "g forces," and therefore knows that he is the one moving (SR concedes this). So why, then, would he assume that, as soon as he quits accelerating and begins "coasting" at a uniform speed that, suddenly, he is no longer moving and that then (and only then) the earth is now moving away from him, rather than him moving away from it?
Wouldn't the law of inertia, which says that a body in motion tends to stay in motion, "tell" him that he was still "moving" even if he was no longer accelerating and could no longer "feel" his motion?
Uhhh, yeah it would. So, then, why doesn't he say to himself "I'm moving, so I know
my watch has slowed down, not the one's on earth."
He does do that, in real life, of course. Astronauts are not stupid. But he doesn't do that in the theoretical structure of special relativity. There, he must act stupid, and deny that he could possibly be moving.
Why? Because the whole theory would fall apart if he didn't play the fool, that's why. He would no longer calculate the speed of light to be constant in every inertial frame of reference, for one thing. But THAT would contradict a basic postulate of SR, so SR does not, and cannot, allow it. If he does that, he is accepting the validity of LR, and rejecting SR.
SR "depends on" claiming that the obviously false claims of deceived fools are actually "correct." But, since when has what someone "thinks" been the least bit relevant to the behavior of physical objects in the "real world" anyway? Since never, if you ask me, even if what they think is true, rather than false.
Solipsism and "objective reality" are incompatible.