Re: Understanding the theory of special relativity

Le 23/01/2025 à 21:51, "Paul.B.Andersen" a écrit :

Den 23.01.2025 09:22, skrev Richard Hachel:

 There is a flaw in your way of understanding the ratio of observable time (terrestrial) and proper time (rockets in general).

 In physics, proper time is what clocks show.
The only way to observe time is to read it off a clock.
So "observed time" and "proper time" are the same.
  https://paulba.no/pdf/Clock_rate.pdf
 See: 1.1 "What is proper time?"

It's more complicated than that, breathe, blow...
Observable time is an abstract entity that, in fact, no one really measures.
It is based on the chronotropy of watches, that is to say the speed at which their internal mechanism evolves in relation to another watch.
This mechanism is always symmetrical, and always, we have To=Tr/sqrt(1-v²/c²) for two reciprocal watches.
Each has an internal mechanism that turns reciprocally faster than the other. This effect is very strange and disorienting (especially for Maciej), but it is a fundamental paradox.
Then, there is the apparent time Tapp.
Apparent time is the examiner's own time.
If we want to know the proper time of the examiner in relation to the proper time of the examinee, we must write:
Tapp=Tr.(1+cosµv/c)/sqrt(1-v²/c²)
or Tr(for me)=Tr(yours).(1+cosµv/c)/sqrt(1-v²/c²)
R.H.