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

Le 19/03/2024 à 20:44, "Paul B. Andersen" a écrit :

Den 19.03.2024 10:17, skrev Richard Hachel:

Le 18/03/2024 à 22:12, "Paul B. Andersen" a écrit :

 A rocket is stationary on  Earth, When its clock show  τ = 0 and
the Earth clock show t = 0 the rocket engine starts an give
the rocket a constant proper acceleration a = 10 m/s².
 a = 10 m/s² = 1.05265 ly/y/y   c = 1 ly/y  d = 12 ly
 >> According to SR:
================
>
The rocket will pass Tau Ceti at the terrestrial time:
  t = √((d/c)²+2⋅d/a) = 12.9156 y

 Absolutely.
 

The proper time of the rocket when it passes Tau Ceti is:
  τ = (c/a)⋅arsinh(a⋅t) = 3.13894 y

 Here is the error.

 No error!
 What SR predicts is not a matter of opinion,
it is a matter of fact.
 So _ACCORDING TO SR_:
======================
The proper time of the rocket when it passes Tau Ceti is:
  τ = (c/a)⋅arsinh(a⋅t) = 3.13894 y
 The speed of the rocket in the terrestrial frame
when it passes Tau Ceti is:
   v = a⋅t/√(1 + (a⋅t/c)²) = 0.9973 ly/y
 Facts. Indisputable!

 Vous vous trompez.
 Doublement.  1. Cette optique relativiste est incohérente et théoriquement incorrecte.
 2. Je suis persuadé que les faits expérimentaux iront contre.  Je gagne toujours, ne l'oubliez pas.  R.H.