Re: the notion of relativity of simultaneity

Am Mittwoch000002, 02.10.2024 um 21:00 schrieb Python:

Le 02/10/2024 à 20:54, Thomas Heger a écrit :

Am Dienstag000001, 01.10.2024 um 14:54 schrieb Python:
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But in a relativistic universe where each observer has his own hyperplane of present time?

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What do you mean by "hyperlane"?

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The set of all points, which could be connected to an events by a hypothetical signal with infinite velocity builds actually a three dimensional space.
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In RT-lingo, this is a hyperplane (of the present).
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Imagine you would 'flatten' space to a 2-dimensional sheet.
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TH
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...

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Why do you answer him? You can see that he is crazy.
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He claims to be a great expert in relativity, but he is incapable of understanding what a simple "hyperplane" is.
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R.H.

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I do know what a hyperplane is :-) Neither Thomas nor you do :-)
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'Hyperplane' has a sigtly different meaning than 'hyperplane of present time'.
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But apparently your question was about the 'hyperplane of the present' in context of RT and not about the general case of a hyperplane in mathematics.
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In case of RT, my explanation was correct!

  The mathematical definition of hyperplane match with the definition
of hyperplane of simultaneity (not "present") sure.
 Your explanation is not correct. It is gibberish.
 

My explanation stems from a usualy Minkowski diagramm (the one with a light cone).
The comoving hyperplane (comoving with the observer) is usually called 'hyperplane of the present.
This is so, because a spacetime diagram uses only two dimensions for space and one for time, because in pseudo-3d it is not possible to depict more dimensions.
This 'hyperplane of the present' is therefore depicted as a sheet, but actually means a space.
This space is the space of all events, which could be conneted to the place called 'here and now' by the observer, if he would use a hypothetical signal with infinite velocity.
This is, of course, not possible, hence only points are accessible, which are located upon the observers future light cone.
But for definitions we do not need to care about such limitations and could regard as 'present', what is placed upon the hyperplane of the present (instead of the positions on the light cone).
TH