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From: "Paul.B.Andersen" <relativity@paulba.no>
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Subject: =?UTF-8?Q?Re=3A_The_mathematical_Poincar=C3=A9-Lorentz_transformati?=
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Date: Tue, 24 Sep 2024 13:06:29 +0200
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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.

Case closed.

-- 
Paul

https://paulba.no/