Re: Langevin's paradox again

Le 14/07/2024 à 22:25, "Paul.B.Andersen" a écrit :

Den 14.07.2024 20:31, skrev Richard Hachel:

Everybody but complete morons will understand that the acceleration
will affect Stella's proper time when she is back at Terrence.

 MAIS NON !!!
 Oh my god!
 Stella's acceleration does not change its own time in any way.
Breathe in, breathe out...
Damn it!
What will vary is not its own time, which is only related to its chronotropy, and it is always immobile in relation to itself.
There is no absolute frame of reference, and time passes in the same way in ALL frames of reference, that is to say by one second every second.
It is only for observers placed elsewhere and measuring with different watches that proper time becomes relative. But proper time is in itself invariant.
When Bella (the traveler from Tau Ceti) leaves the earth, her own time does not change in any way. She will reach Tau Ceti in 4,776 years, and throughout the journey her time remains one second per second, as it was before she left. Only in the Earth's frame of reference does time seem to expand more and more, and acceleration seems to decrease more and more. I gave the equations.
In relativity, everything happens as if the observers were always stationary, and that it was "others" who were moving in relation to them. Even in rotating frames of reference (the most difficult concept) the rotating object observes the universe as if it were the universe rotating around it. In relativism everything always happens like this.
R.H.