Re: The mathematical Poincaré-Lorentz transformations

Le 25/09/2024 à 07:21, Thomas Heger a écrit :

This hyperplane of the present is always perpendicular to the axis of
time and time is a local measure.

- Absolutely!

If we place the observer in the center of the coordinate system, the
axis of local time becomes perpendicular to the hyperplane of the present.

- Absolutely!

This is valid for all observers everywhere.

- Absolutely!

From this would follow, that time MUST be local and is not always 'parallel'.

- Absolutely. If we make any small translation, for example if we go from the bench where Romeo is to the bench where Juliet is, we must draw another hyperplane of present time, of universal simultaneity.
This was not the case in Newtonian geometry, which is Euclidean. In relativistic geometry, this is the case, because any change of observer changes the reference frame not by changing the 3D frame, but by changing the present time hyperplane.

This is actually different to usual concepts in physics, which usually
assume time to be universal.

- Be careful with the words. The word "time" is biased because it can mean many things, such as the word "animal".
You have to use the word chronotropy if I am talking about duration, and the word hour if I am talking about the simultaneity of present time. These are two different things, and the very principle of a good understanding of the theory of arelativity as it should be taught.
TH
R.H. --
Ce message a été posté avec Nemo : <https://www.nemoweb.net/?DataID=8pgHG_nVpCOD1aHHfIQ27vqhjqI@jntp>