Le 03/01/2024 à 14:28,
nos...@de-ster.demon.nl (J. J. Lodder) a écrit :
> Yes, we understand how to handle it, nowadays.
> Back then Einstein and Ehrenfest mostly saw the can of worms, I guess.
> Einstein draw the conclusion that nothing good
> would come out of all this, for a more general theory,
> and he went to non-Euclidean geometry throughout.
Turning to Euclidean geometry does not offer anything good.
The truth is that no one has ever managed to explain the Ehrenfest paradox
(except me).
I repeat, and I will always repeat, the problem is not scientific but
human.
Everyone wants to be their little Albert Einstein, and be worshiped like a
demi-God.
I find this behavior stupid.
Look at how Henri Poincaré behaves, the greatest mathematician of all
time, who, very humble,
corrects the Hendrik Lorentz transformations, and gives them the name
Lorentz transformations. Look at this man who posed E=mc² in 1902, and
who said in 1905: "Mr. Einstein says interesting things" even though
Einstein never, anywhere quotes Poincaré.
Eisntein will one day confess (too late, some would say) his lie, and say:
"I had read all of Poincaré, and I was captivated by this man's
writings."
Today, after having studied the theory of relativity for forty years, I
believe I am authorized to talk a little about it, because I master
everything, from Galilean frames of reference to accelerated frames of
reference, from the Langevin paradox to the Ehrenfest paradox, from
rotating disk to the relativity of lengths, distances, electromagnetic
frequencies, moments and durations.
And what I have to say is this. Eisntein was wrong when he said that
special relativity was difficult, but that there was no trap. The opposite
is true. It's very easy, and it doesn't require anything other than
squares, square roots, sines and cosines. Once I had to use a tengente,
and once I had to use an integral, and again, it's not absolutely
necessary to write the entire song.
There is absolutely no need to resort to abstract and, above all, false
non-Euclidean geometries.
If you ask a child to stand in front of a disk and ask him what he sees,
he will say: "I see a disk."
If you spin it at a low angular velocity, it will continue to say: "I see
a spinning disk."
If you spin it at a relativistic speed, it will always say that it sees a
disk, and it will point out that the disk is behaving strangely. But it
will still be a record. The child will never say that he sees "a
non-Euclidean thing in the shape of an inverted horse's saddle, or other
madness invented by relativistic physicists incapable of correctly
resolving the paradox and giving the transformations relating to the
rotating frames of reference like Poincaré 'had done for the Galilean
frames of reference.
I have the correct transformations for relativistic rotating frames, and
it's ultimately very simple. No paradox, no difficulty, nothing more than
angular velocities, circumferences, square roots, a sine, and a cosine.
And what the child will see, he will describe with great simplicity and
confidence.
R.H.