Originally Posted By: AlbertoT
Originally Posted By: Joey

A is older in B's frame, B is older in A's frame.
Ohhhhh....finally you got it

Got what. I understand both problem and solution and I'm sure that I'm right, because countless books cover this topic and all agree with me, not you.
I UNDERSTAND special relativity, my common sense sees no contradiction in my sentence. A ages slower in B's frame, B ages slower in A's frame is totally true during flight. However, if both are back to earth ONE of them MUST be the older one. There is absolutely no way that this could still hold when they're both at the same position.

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Clocks are alwayes non syncronized even when B is on flight

I don't understand you. It might be me but I really have a hard time following your arguments, they sound wishy-washy to me.

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A and B can comunicate via radio msg's

Don't make the experiment more complicated than it is. Radio messages travel at the speed of light. What's the problem with the concept of a REST FRAME?

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A must comunicate also the Time !

Not really. A spatial coordinate can be Lorentz-transformed without knowledge of time. Of course it has to be communicated if he has to meet the target in a given time span, and of course he has to transform it then, but that's nothing new.
You always make it sound like we'd be doubting relativity. We're not. I'm quite convinced Error has no problem with it, either.

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" If the time on earth is...then the time on board..."

It does make sense if you give the rest frame as information, as I always do. Funny enough, YOU don't do that. I cite: "Clocks are alwayes non syncronized even when B is on flight". In which frame? Or later: "One in Berlin, one In Hamburg". How are they synchronized?
You are missing so much information in your arguments that your explanations simply do not satisfy me.

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Tb is the time on board in the " A's space/time frame "

great you've noticed.

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The only thing in common between A and B is the so called "Interval" which is a mix of space and time

I = SQRT(T^2 -L^2) the formula contains also the light speed "c"

that's a 4-vector contracted to itself. what has that to do with them? Why do A and B have that in common?

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If you still think that "turning" is the solution

http://en.wikipedia.org/wiki/Twin_paradox
http://physics123.net/2009/02/the-twin-paradox-explained/
http://www.einsteins-theory-of-relativity-4engineers.com/twin-paradox-graphical-solution.html
http://www.iep.utm.edu/time-sup/#H17
...
they ALL agree with ME. Find me only ONE article which supports your idea, until then, I will see this discussion as finished.

Joey.

PS: I don't want to sound rude, but honestly, have you ever discussed like that with your physics professor?