Re: Langevin and Doppler effects...

Le 11/09/2024 à 22:18, "Paul.B.Andersen" a écrit :

Den 09.09.2024 20:54, skrev Richard Hachel:
 Example #2:
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Terrence will move away at the speed 0.8c in Stella's frame.
When Stella's clock shows 9y, Terrence will be at the position
x = 0.8c⋅9h = 7.2 ly in Stella frame. (Stella is at x = 0ly)
Terrence clock will run at the rate 1/γ so it will show 9h/γ = 5.4y
 When Stella's clock show 9y 12h, Terrence will be at the position
x = 12 ly in Stella's frame. Terrence clock will now show 15 y.
 When Stella's clock shows 9y 24h, Terrence will now be at the position
x = 0.8c⋅(9y 24h) = (7.2 ly + 19.2 lh)  in Stella's frame.
Terrence clock will now show (30y 40h) - (9y 24h)/γ = 24.6y 25.6h
 When Stella's clock shows 18y 24h, Stella is back.
Terrence will now be at the position x = 0 ly.
Terrence clock will now show (24.6y 25.6h) + (9y 24h)/γ = 30y 40h
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 Note that when Stella's clock show 9y, Terrence clock simultaneously
in Stella's frame show 5.4y, and when Stella's clock show 9y 12h, Terrence clock simultaneously in Stella's frame show 15y.
 That means that Terrence clock runs (15-5.5)y/12h = 7012.8 times
faster than Stella's clock during the first part of the U-turn.
 But nothing happens to Terrence clock, it runs normally.
It is _only_ Stella's idea of what is simultaneous that
make it appear that Terrence clock run fast.
 (It may be typos)

Same as for the previous post.
You use observers M1 and M2 and not Terrence himself.
Here, Terrence always remaining in the same inertial frame of reference, M1 and M2 are the same external reference point.
But it is not Terrence.
Of course, I may give you the impression that I am quibbling, but that is not the case.
Things must be said so that it is both infinitely beautiful and infinitely true.
The measurements that you give here, with this concept M (which is not known since you really think that you are talking about Stalla, then Terrence, and not very distant lateral points) are not beautiful, even if, for the moment, they are true.
The blow of the baton can only come later.
When you are going to talk about the same things, but with accelerated frames of reference, it will no longer be beautiful or true.
And there, the loss is double and the predictions catastrophic.
R.H.