Re: Understanding the theory of special relativity

Le 18/01/2025 à 20:25, "Paul.B.Andersen" a écrit :

Den 18.01.2025 10:04, skrev Richard Hachel:

You say tau_S = 9 year and tau_T = 13.5 year
I say   tau_S = 9 year and tau_T = 23.7 year

 Yes, that's absolutely what we're saying.

What is important is that when Stella is back, Terrence and Stella
are co-located and stationary to each other.

 Absolutely.

 Terrence can see that his watch shows tau_T
and Stella's watch shows tau_S.

 Yes.

 Stella can see that her watch shows tau_S
and Terrence's clock shows tau_T.

 Absolutly.

Do you agree? (yes or no, please. There is no third alternative)

I've always said it, you're absolutely right,
the two times don't match.
Stella looks at her watch, and she sees that her watch marks 9 years.
She shows her watch to Terrence, and asks him what he sees, and he answers: "Your watch marks nine years".
I don't see where the difficulty is.
On the other hand, Terrence asks Stella, and you, what do you see on my watch, and she answers your watch marks 13.5 years.
I don't understand how you can see a difficulty there.
It's the notion of the relativity of time.
The only thing that opposes us is the way you calculate the ratio of the two watches, because you make a colossal error by using an incorrect integration taught by the theorists, and which gives you a smaller proper time, or a larger improper time.
You should not use the blue curve which is NOT improper time, but I don't know what. You should use the red segment which undergoes a progressive rotation, but whose norm is To, and not the blue line of the diagram.
Finally, you should not confuse chronotropy and the passage of time on watches.
The relationship between Tr and To is a relationship of chronotropy.
The time that passes on watches is not ONLY that, you have to take into account universal anisochrony, as well as the distances traveled by watches (and not just their relative speed).
This is what makes it so that although the mechanisms of watches have always turned according to the same reciprocity, each one sees the other which turns less quickly in its internal mechanism, and this explains, as in the Langevin paradox, that however in the end, the two watches do not correspond, while the reciprocity of the internal beats is perfect.
It is anisochrony that will actually induce the shift, not chronotropy.
I have told you this 50 times.
You do not, but then not at all, make the effort to understand me,
stuck in the idea that physicists cannot be wrong.
Your bad faith becomes faith.
R.H.