Re: The mathematical Poincaré-Lorentz transformations

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.
<http://nemoweb.net/jntp?j9j1Tkqi5LGYmk5CzgXl1Ww8Qwk@jntp/Data.Media:1>

Undefined entities:

d=15
t=0 (perception)
sin a= 0.6
cos a = 0.8

 It is however well defined in the image file.
If it does not appear in the post, you must click in the file below.
 <https://www.nemoweb.net/?DataID=j9j1Tkqi5LGYmk5CzgXl1Ww8Qwk@jntp>
R.H.