@layman,
Where was I, Dale? Oh, yeah...
layman wrote:
I have seen a good number of people claim that there is now a paradox, because each guy now thinks the other's clock is the one which has slowed down. Such people are wrong. So where does the "paradox" come from? It aint that, so what is it?
There's nothing paradoxical in the "facts." It comes from the (SR) theory.
The "paradox" only comes in when we are told, by SR advocates, that the travelling twin is "right" in his beliefs, and are then told that the earth twin is "also right."
This creates an insoluble logical "paradox" right off the bat. Both twins agree that they are moving away from each; each claims that HE is motionless; and yet "both are right?" Logically impossible.
But, even putting logic aside, the problem is that, according to SR itself, both are NOT right. When the twins reunite, they are not the same age, nor is each younger than the other (obviously, but that's what we should expect if they are both right).
Instead we are told that the "travelling twin" will IN FACT be younger (which proves he was the one "moving," not the earth twin). He was not "right," after all, SR ends up saying. So SR contradicts both logic and it's own theory by the contradictory claims being made.
Now THAT'S a "paradox." But ONLY if you accept all those claims as true and compelling.
Don't do it, Dale. You'll forever be "puzzled" if you try to make digestible sense of all that.
As you stated, by it's resolution (one IS younger), SR has been forced to treat the earth twin's frame as a "preferred" frame. This really means that SR rejects "itself," so why should YOU accept it, eh?