Re: Understanding the theory of special relativity

Le 20/01/2025 à 20:24, "Paul.B.Andersen" a écrit :

clock had an internal chronotropy which was running slower.

 Stella can see that her watch shows 9 years.
and Terrence's clock shows 13.5 years.
 So Stella will have considered, second after second, that Terrence's
clock had an internal chronotropy which was running slower.
  Always, always, always, Stella will see that Terrence clock
shows two different times at the same time.
 :-D

Damn, Paul, will you stop your bullshit?
Do you want to make a fool of yourself or what?
I'm not sure that your smileys and sallys are so funny.
I repeat once again (I've already had students who were speechless and didn't understand anything, but there...):
There exists, in the theory of relativity, a notion of relative chronotropy.
I repeat again for you: "There exists, in the theory of relativity, a notion of relative chronotropy".
That is to say that the INTERNAL mechanism of watches, watches makes that they do not conceive of time in the same way; each watch, and it is reciprocal, notes that the other watch has a slower internal mechanism, according to the relative speed, the faster we go between them, the more the other watch has a real internal mechanism that seems to beat slowly.
The equation has been known since 1905: To=tau/sqrt(1-v²/c²)
We breathe, we exhale.
This means (5632nd edition by Hachel, the next one is on rotary press) that second after second, Stella will consider that the INTERNAL MECHANISM of Terrence's watch beats less quickly. This means that for all the seconds of Stella's life (9 years in the stars), she will consider that the internal chronotropy of Terrence's watch counts 4/3 of a second.
And vice versa.
We breathe, we exhale, and we convince ourselves that Paul has not yet understood Hachel's genius (three Nobels, a doctorate, a powerful thought nonetheless).
Yet in the end, they compare their watches, she is nine years old, he is 13.5, and they obviously agree on that, otherwise it is absurd.
However, nothing interesting happened during the U-turn, she ages a few hours (let's say 24 hours), and he ages 40 hours, so it's pretty ordinary.
So what's happening?
We breathe, we blow, we let the master (Richard Hachel) speak.
Everything happens for Stella, as if a bad watchmaker had made a completely faulty watch for Terrence, and that the INTERNAL mechanism of the watch beat 4/3 times faster if v=0.8c for example.
It's easy to understand.
But it's as if the watch that was going to measure the journey had a second problem, this one of the first degree. This watch considers that there is also a universal anisochrony, a defect of LOCAL, positional simultaneity.
It will then be necessary to make a SECOND correction, of the type Tapp=To(1+cosµ.v/c).
We then arrive at the equation t'=t.(1+cosµ.v/c)/sqrt(1-v²/c²) which is the real time marked on watches.
In short, affirming that internal chronotropy is relative, we have known this since 1905, but that is not enough.
We must take into account universal anisochrony.
And there, everything falls into place with a theory of great majesty.
It may make you laugh, but frankly, I do not see where it is so funny.
So in total, he has 13.5 years (in your example) of accelerated traveler at a=1ly/year, and she has 9 (time that you chose).
I beg you to make the effort to understand what I have been explaining for years, and which you seem to mock.
R.H.