Re: [SR] Usefulness of real velocities in accelerated relativistic frames of reference.

Den 14.03.2024 17:03, skrev Richard Hachel:

Le 14/03/2024 à 15:02, "Paul B. Andersen" a écrit :

The subject line is:
"SR: Usefulness of real velocities in accelerated relativistic frames of reference."
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I take this to mean that you are stating what you claim SR predicts.
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Above all, we must prioritize experimentation.
And if two theories face each other, we must take the one which has the approval of the experimenters.

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Indeed.
And you know of course that SR is confirmed by innumerable
experiments and falsified by none.
Some of them:
https://paulba.no/paper/index.html
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But the issue is:
Does SR predict what you claim it predicts?

 Here is the problem:
We now know that Newtonian physics is out of the running, and that we must use a relativistic theory.
This is certain, and the evidence is so abundant that no one disputes it anymore, except a few crazy people.
But here we have, face to face, two ways of seeing the SR.

There is not "Two ways of seeing SR".
SR is mathematical consistent and can't be made
to give contradicting answers to the same problem.
You can start with the metric:
  (c⋅dτ)² = (c⋅dt)² − dx² − dy² − dz²
and everything follows from that.
The equations relating to our discussion are:
Rocket with constant proper acceleration a.
Entities measured in the inertial frame K(x,t):
Speed:                  Vr(t) = a⋅t/√(1+(a⋅t/c)²)
Average speed           Vm(t) = c²⋅(√(1+(a⋅t/c)²)-1)/a⋅t
Coordinate acceleration A = dVr/dt = a/(√(1+(a⋅t/c)²))³
It is not possible to make SR predict anything else!
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If you claim otherwise, start with the metric and
show the math that leads to the alternative equations
you think are right!

I am the only one to propose a coherent theory, theoretically unassailable and flawless, and with all the experiments on my side (including the instantaneous longitudinal transmission of information and the impossibility of transverse transmissions greater than c).

If you have a theory which give different answers from SR,
then it will be experimentally falsified.
I am not interested in discussing yet another crackpot theory.
--
Paul
https://paulba.no/