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

Le 15/03/2024 à 18:46, Volney a écrit :

On 3/15/2024 10:30 AM, Richard Hachel wrote:

Le 15/03/2024 à 15:11, "Paul B. Andersen" a écrit :

I suppose you are referring to my "false" equations:
Speed:            Vr(t) = a⋅t/√(1+(a⋅t/c)²)
Average speed     Vm(t) = c²⋅(√(1+(a⋅t/c)²)-1)/a⋅t
>
where your "correct" equations are:
Speed:  Vr(t) = a⋅t
Average speed  Vm(t) = a⋅t/2
>
:-D

 The speed of the accelerated mobile or particle
is a function of time.
The more time passes, the greater the speed.
Everyone agrees on that.
Now we have to give the correct equation.
I wrote that the correct equation is:
Vo(Tr)=a.Tr/sqrt(1+(a.Tr)²/c²)
I don't see what your problem is.
Vr(Tr)=a.Tr
Vrm=Vri/2
What do you not understand?
>

You don't explain or even acknowledge the problem with what happens when Tr > c/a. Besides, your statement Vr(Tr)=a*Tr is Newtonian/Galilean physics, not SR.

You are absolutely right :
when I say Vr(Tr)=a.Tr, it IS Newtonian relativity.
However, the equation is correct. Warning! Tr is a proper time, and not a observable time. We must therefore inhale and breathe, that is to say : try to understand.
It is the same when I say: "There will therefore exist an impassable speed which will extend to all the particles and all the properties of physics" which is RR, and which I say, at the same time "This horse in this meadow, this moon in the sky, this galaxy in this telescope, I see them live, instantly, absolutely indicative of themselves. The emission of the photon and its reception by my retina occur in the same instant", which is quantum theory.
We will say: it is absurd and contradictory.
Absolutely not, all this is of prodigious theoretical beauty, mathematical simplicity and manifest experimental evidence (Alain Aspect).
The only problem is just the neurons of those who read me,
formatted with an incorrect vision of the world, and that was imposed on them from a very young age.
R.H.