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

Le 17/03/2024 à 14:42, "Paul B. Andersen" a écrit :

Den 16.03.2024 15:26, skrev Richard Hachel:

Le 16/03/2024 à 14:18, "Paul B. Andersen" a écrit :

Den 15.03.2024 15:39, skrev Richard Hachel:

 

So Richard Hachel's theory is identical to Newtonian Mechanics.

 Absolutely not.

 Since the equations:
  Speed of rocket in inertial frame:             Vr=a.Tr
  Average speed of rocket in the inertial frame: Vrm=(1/2)Vr
  are valid _only_  in Newtonian Mechanics with Galilean relativity,
  then the theory which is consistent with said equations
  is Newtonian Mechanics.

The equations I give, if written correctly, are valid in both systems.
But you have to write them correctly.
For example if I write, in the Newtonian system,
v=a.t
This is valid.
In the same Newtonian system, we can also write:
v_m=(1/2)v_i
We agree on this, and I don't think, even regarding the craziest posters (Python example), anyone will come and contradict.
Now let's go further and talk about special relativity.
Doctor Hachel (that’s me) asks:
Vrm=a.Tr
and Vrm=(1/2)Vri
These equations remain true, as p=mv remains true in classical physics and p=m.Vr in relativistic physics (Hachel notation).
If now, you, Paul B. Andersen, claim that it is false to ask:
Vo=a.To
Vom=(1/2)Voi
p=m.Vo
you will obviously be absolutely right.
Except I never wrote that.
R.H.