Yes, he did. In B's frame, he was moving at 60% of c.
And yet you refuse to apply time dilation corrections to him like you did to twin B and arrive at the same answer of 16 years... Funny how your claims contradict your own claims....
How can you say he 'really is not'? From what frame do you say that?
from the simple fact you rerfused to apply to A the same calculations you applied to B to arrive at B's age.... Instead you found it necessary to treat A as stationary and apply only time dilation corrections to his frame... I didn't say it, you said it in the very math you used.....
No, B sees himself as at rest. He doesn't move in his own frame. But he does take 8 years for each half of this little scenario with a shift of frame in theiddle.
No he doesn't, he sees himself at rest. He sees A taking 8 years for each half of the trip. Yet you keep wanting to consider only A as the absolute frame while claiming B's viewpoint is equally valid. Your contradictions are plain to see...
He doesn't apply Lorentz transformations to any clock. The Lorentz transformation tells how to get from the description in one frame to the description in another.
And yet you only apply it to B's frame back to A......
And yet you found it necessary to apply the Lorentz transformation which as you put it "tells how to get from the description in one frame to the description in another."
So which is it? Contradictions in every statement you make...
Again, simply not true. The Lorentz transformation are used to go from the description in one frame to the descirption in another. So, knowing what A sees, we can determine what B sees, and vice versa.
You mean only by knowing what A sees can we then deduce the correct passage of time in A's frame from B's frame. B sees the same exact thing as A. So knowing what B sees, we can determine what A sees, is this not what you just stated? Yet You found it necessary to apply slowing clocks only to B to get 16 years, while refusing to apply the slowing of clocks to A to get 16 years, despite the small fact that this is only what B sees.....
Wrong. he has to change frames in the middle while A does not. B does not stay in a single inertial frame the whole time while A does.
To paraphrase yourself "How can you say he 'really has'? From what frame do you say that?" B never changes frames from his own viewpoint. A changes them..... Once again only treating A's frame as the absolute frame from which the motion derived....
I just showed why that is not the case.
You showed nothing except that you had to use A as the abso;lute frame to base all your calculations from....
Except that B changes inertial frames while A does not.
To paraphrase yourself "How can you say he 'really has'? From what frame do you say that?" B never changes frames from his own viewpoint. A changes them..... Once again only treating A's frame as the absolute frame from which the motion derived....
No, I am not taking A's frame as absolute. But I can and do take A's description to find B's. I could do the reverse also. That's what LTs do.
Yes, you could take B's viewpoint that A's clocks are slowing and calculate 16 years just like A did, but you won't.... because you'll still consider A as the absolute frame....
As long as B does not change directions, this is true. But. B *does* change directions and therby changes frames of reference and that needs to be taken into account.
Pseudoscience. The Hafele–Keating experiment did all calculations within the same earth centered frame, despite direction changing..... The slowing had nothing at all to do with magical pseudoscientific frame switching.... Of course this experiment was not performed until after the pseudoscience of frame switching was set into literature as fact. But why let reality get in the way of a good story, right????
But once again: To paraphrase yourself "How can you say he 'really has'? From what frame do you say that?" B never changes frames from his own viewpoint. A changes them..... Once again only treating A's frame as the absolute frame from which the motion derived....
Which of the two frames that B is in do you want the calculations done in? I can do them in either or any combination. But B does change frames. A does not.
To paraphrase yourself "How can you say he 'really has'? From what frame do you say that?" B never changes frames from his own viewpoint. A changes them..... Once again only treating A's frame as the absolute frame from which the motion derived....
Ahh, so reality only intrudes into your consciousness when it is B's actual motion, but then we can't say A isn't stationary because then from what frame would you say that. lol, you people are a riot....
The assymmetry is that A stays in the same inertial frame the whole time and B does not. That has to be taken into account. Which I did.
Says who? Not B..... B says he stays in the same inertial frame the whole time and A does not. Please decide whether you believe A is the absolute frame or not....
To paraphrase yourself "How can you say he 'really has'? From what frame do you say that?" B never changes frames from his own viewpoint. A changes them..... Once again only treating A's frame as the absolute frame from which the motion derived....
And he could *if he stayed in one frame*, which he does not. I gave two versions of the calculation to deal with exactly that objection: one from B's outgoing frame, and once from a combination of the two frames B is in.
Both versions treated A's frame as the absolute frame and only B in motion. B does not see this...
No, I do not. I could just as easily take any of the three inertial frames in this scenario.
And you would be wrong except done from Frame A.... As shown by the fact you don't really want to consider B's viewpoint as equally valid. He sees A's frame as slow. He sees A switch frames (which is irrelevant). But then that's why its all talk and you continue to refuse to accept your own claim that B's vioew is equally valid and that it is A who's clocks slowed and A that switched frames....
And that is false. A correct description, including a change of frames for B will take that into account/ Which I did.
It's absolutely true... A is the one switching frames from B's viewpoint..... But there you go again, treating only A's as the absolute frame......
Not at all. I can use any of the *three* inertial frames to do the calculations. There is A's frame, B's outgoing frame, and B's return frame. All three will give valid results. But you have to switch between them correctly.
No, there is B's frame, A's outgoing frame and A's return frame.
But there you go, treating only A's frame as the absolute frame, ignoring B's view over and over, because you know the reality from the falsehood of what B thinks is real and isn't.....