Re: Understanding the theory of special relativity

Den 21.01.2025 17:51, skrev Richard Hachel:

 The internal mechanism of watches beats reciprocally faster than the other watch.
The physical relationship is To=tau/sqrt(1-v²/c²).
All physicists in the world know it.
This is called the Lorentz factor.
And this principle manifests itself second after second, and for both protagonists, and vice versa.
 There is nothing difficult to understand here.

That's true.
But you are very confused, and understand nothing.
You are referring to the phenomenon that when two _inertial_ clocks
are in relative motion, then, in the _inertial_ rest frame of each
clock, the other clock will be measured to run slow.
This phenomenon is called "mutual time dilation".
=========================================================
There is reciprocity because _both_ clocks are inertial.
==========================================================
But the rate of each clock isn't affected in any way by the speed of
of the other clock, each of the clocks is _always_ running at its
normal pace, one second per second.
There is no "internal mechanism" in the clocks which
is affected by the speed of the other clock.
This should be blatantly obvious for anybody who can think.
There are millions of clocks in the world, and each clock
can't be affected in millions of different ways at the same time.
See:
https://paulba.no/pdf/Mutual_time_dilation.pdf
Read it!

 It is true that when said like that, hundreds of physicists opposed Poincaré, saying that it was absurd.

No physicist finds this strange.

 It is beyond them that, for example, if we take the example of the Langevin traveler,

Yes, let's take the "Langevin traveller" again.
This is the scenario we discusse in this thread,
Terrence is inertial somewhere in space.
Stella is in a rocket and is co-located with Terrence when
she starts her rocket engine and accelerates at a = 1 c/year
away from Terrence for 2.5 year on her clock.
Then she turns her rocket around and accelerates at 1 c/year
towards Terrence for 5 years.
Then she turns her rocket around and accelerates (brakes) at 1 c/year
away from Terrence for 2.5 years.
When Stella is back at Terrence both stop their watches.
They are now co-located and stationary to each other.
Their clocks are side by side and can easily be compared.
Terrence clock shows 23.9 years.
Stella's watch shows 10 years.
You get different numbers, but the subject line is:
"Understanding the theory of special relativity"
and the above is what the theory of special relativity predicts.
Apart from the numbers, (which are not important) we agree:
When Stella is back:
Terrence can see that his watch shows 23.9 (13.5) years.
and Stella's watch shows 10 (9) years.
Stella can see that her watch shows 10 (9) years.
and Terrence's clock shows 23.9 (13.5) years.
| Den 19.01.2025 15:57, skrev Richard Hachel:
|>
|> 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.
|
Look:
Terrence is inertial during Stella's journey.
He is weightless. No force is acting on him.
Stella is accelerating at a = 1 c/year during her journey.
She can feel the floor in her rocket pushing her with
the force F = m⋅a where m is her mass. If m = 60 kg, F ≈ 600 N.
=========================================
There is no reciprocity in this scenario.
=========================================
After the journey Stella's clock shows 10 (9) years while
Terrence clock shows 23.9 (13.5) years.
PERIOD.
How can you call this reciprocal?

 Paul, Paul, you do not understand anything at all of what I am saying, and instead of trying to understand, you take the theory as a joke.

A very bad joke. Not funny at all. I don't laugh.
Case closed.
--
Paul
https://paulba.no/