Re: [SR] The traveler of Tau Ceti

Den 27.03.2024 07:23, skrev Richard Hachel:

Le 26/03/2024 à 21:45, "Paul B. Andersen" a écrit :

Den 22.03.2024 09:49, skrev Richard Hachel:

Le 21/03/2024 à 21:05, "Paul B. Andersen" a écrit :

>
You claim that the speed of an object in an inertial frame
may be several times the speed of light, but will always be
measured to be less than c.

>
It's not just that I claim it, it's that it's logical, coherent, mathematical.
>
Already forty years ago, I gave the five basic equations (hundreds will follow) of SR.
>
To²=Tr²+Et²
To=Tr.sqrt(1+Vr²/c²)
Tr=To.sqrt(1-Vo²/c²)
Vo=Vr/sqrt(1+Vr²/c²)
Vr=Vo/sqrt(1-Vo²/c²)

>
In the Large Hadron Collider [LHC] at Cern the measured speed
of the protons is Vo = 0.9999999896⋅c
>
The circumference of the LHC and the time to go around
the circuit are precisely known.
>
Are you claiming that the real speed of the protons in the LHC is
  Vr = 6927⋅c ?

 Absolutely.
 That's what I said.

Since it is you, Doctor Richard Hachel, i will assume you are serious.
(Nobody but you could seriously make such a ridiculous claim.)
You are obviously ignorant of how a synchrotron works.
The protons in the LHC are moving around a ring with
circumference 26659 m. The ring consist of straight
stretches and bends. In the straight stretches there
are eight RF-cavities which accelerate the protons.
In the bends there are magnets which make the path of
the protons bent. The protons will radiate some of their
kinetic energy as synchrotron radiation (light with a special
spectrum) in the bends, and when the synchrotron is in steady
state at peak power, the energy gained in the RF-cavities will
be lost in the bends.
In a RF-cavity there is an electric field which is changing
direction sinusoidally all the time. The protons are moving in
bunches, and a bunch must be at a RF-cavity exactly at the time
when the electric field is at peak value in the right direction.
Since there are many (N) bunches in the ring, and each bunch are
going around the ring many times (M) per second, the frequency
of the RF-field in the RF-cavity must be a multiple of N x M Hz.
The nominal frequency is 400.8 MHz, but this is finely tuned
depending on the speed of the protons.
The point is that the speed of the protons is very precisely known,
and the measured and real speed of the protons is the same.
You are claiming that the protons are going around the ≈ 27 km ring
≈ 78 million times per second.
The real value is ≈ 11.25 thousand times per second.
Don't you think the physicists at CERN had noticed the difference? :-D
But maybe you were joking.
In that case you had me!
--
Paul
https://paulba.no/