Re: The mathematical Poincaré-Lorentz transformations

Le 24/09/2024 à 13:04, "Paul.B.Andersen" a écrit :

Den 23.09.2024 20:02, skrev Richard Hachel:

Le 23/09/2024 à 19:51, "Paul.B.Andersen" a écrit :

Den 23.09.2024 14:51, skrev Richard Hachel:

Poincaré-Lorentz transformations transpose the present coordinates of a frame of reference R to the homologous coordinates in a frame of reference R'.

>

>
x=12
y=9
z=0
To=-15

>
>
If the frame R'(t',x',y',x') move along the x axis in
the frame R(t,x,z,y) at the speed 0.8c,
>
Then the event with the coordinates
  t = -15 y, x = 12 ly, y = 9 ly z = 0 ly in frame R
>
Will have the following coordinates in frame R'
  t' = - 41 y, x' = 40 ly, y' = 9 ly, z' = 0 ly

 Please pay attention to Hachel notations.

 I have made the transformation of the coordinates
of an event from R to R' as you asked for.

Yes, your answers are correct, proof that you already have a good grasp of Hachel's relativity.
I repeat that Hachel's relativity is very simple mathematically (college level) but that the concepts are sometimes repulsive to use for unprepared minds.
Too much beauty dazzles the eyes.
I am glad that you already have a good grasp of some concepts.
This is not the case for everyone.
 

Case closed.

Absolutely not
You didn't answer all the questions,
and I refuse to believe that you don't know what a sine, a cosine, and an angle α are.
R.H.