Re: Langevin's paradox again

W dniu 09.07.2024 o 22:54, Paul B. Andersen pisze:

Den 09.07.2024 15:47, skrev Richard Hachel:

Am Sonntag000007, 07.07.2024 um 23:05 schrieb Paul B. Andersen:

Den 04.07.2024 15:30, skrev Richard Hachel:

Langevin's paradox.
The Langevin paradox is a very serious criticism against the theory of relativity.

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Langvin's paradox is another name of the "twin paradox".
In 1911 Langevin gave an example of said "paradox".
He showed that the twins' would age differently.
This was nothing new, Einstein gave an example of it
in his 1905 paper, but he only mentioned the phenomenon
without numbers. But Langevin gave an example where
the "travelling twin" was moving at the speed 0.99995c
(γ = 100) which made the "travelling twin" age 2 years
while the "home twin" aged 200 years.
Neither Einstein nor Langevin thought that this falsified SR.

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The paradox is this: The greatest relativistic physicist in the universe (Richard Hachel) said that the effects of physics are reciprocal by permutation of observer, and therefore, if we take the INTERNAL mechanism of two watches, each will beat faster than the other, both on the outward and return journey, or during a long circular journey.

 A very naive notion. :-D
 Let's look at the following scenario:
 - Twin A and twin B are inertial and co-located.
- Twin B accelerates at the proper acceleration 2 c/year
   away from A for 1 light year [ly] in A's rest frame.
- Twin B  coasts (no engine) for 8 light years until he is 9 ly from A.
- Twin B accelerates at 2 c/year towards A. He will reach 10 ly and
   go back to 9 ly when he stops the engine.
- Twin B coasts from 9 ly to 1 ly-
- Twin B accelerates at 2 c/y until he is co-located with A.
 The scenario can be simulated here:
https://paulba.no/twins.html
 Here are screenshots of the simulation:
 https://paulba.no/temp/Twins_run.pdf
 Note:
While B is coasting and inertial we have two inertial twins
moving at the constant speed 0.943 c relative to each other,
and both will measure the other twin's clock to run slow by

Fortunately, we have GPS now, so we can be absolutely
sure that your fairy scenarios have nothing in common with
real clocks, real measuremens or real anything.