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From: "Paul.B.Andersen" <relativity@paulba.no>
Newsgroups: sci.physics.relativity
Subject: Re: Understanding the theory of special relativity
Date: Tue, 21 Jan 2025 15:35:36 +0100
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Den 21.01.2025 11:30, skrev Richard Hachel:
> Le 20/01/2025 à 20:24, "Paul.B.Andersen" a écrit :
>> Den 19.01.2025 15:57, skrev Richard Hachel:

>> So according to Hachel:
>>
>> When Stella is back, Terrence and Stella are co-located and
>> stationary to each other, and both can see both clocks which are
>> side by side.
>>
>> Terrence can see that his watch shows 13.5 years.
>> and Stella's watch shows  nine years.

> Yes.

>> Stella can see that her watch shows 9 years.
>> and Terrence's clock shows 13.5 years.

> Absolutely, the opposite would be contradictory.

>>>
>>> In every moment, every second.
>>> Always, always, always, the opposite clock ticks slower.
>>> In all repositories.
>>>
>>> ALWAYS.
>>> This means that while Stella ages 18 years, always, always,
>>> she will have considered, second after second, that Terrence's
>>> 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
>> 

> 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)
> 
> 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).

:-D

> 
> 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. 

Of course it is easy to understand that when Stella sees that
her watch shows 9 years and she sees that Terrence's watch
shows 13.5 years, then Stella will consider that
the INTERNAL MECHANISM of Terrence's watch beats less quickly,
the opposite would be contradictory.

I have got it now, so can I please get my Nobel?


-- 
Paul

https://paulba.no/