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From: Thomas Heger <ttt_heg@web.de>
Newsgroups: sci.physics.relativity
Subject: Re: Einstein's Mistakes
Date: Mon, 28 Oct 2024 18:02:06 +0100
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Am Sonntag000027, 27.10.2024 um 20:20 schrieb Richard Hachel:
> Le 27/10/2024 à 19:53, "Paul.B.Andersen" a écrit :
>> The point is obviously:
>> What is the meaning of the word "horizontal" in the context:
>> "with horizontal hyperplanes, as logic would require."
>>
>> Why do logic require that hyperplanes must be "horizontal" as opposed
>> to "vertical"?
>>
>> Paul
> 
> Paul! Paul! Please!!!
> 
> It is perfectly normal, perfectly legitimate and completely scientific 
> to propose, for a given individual, a representation of the space-time 
> that is his.
> 
> This has four dimensions. Three of space, and one of time.

No, this is wrong!

Coorect is:

to any given axis of time there exist an orthogonal hyperplane of the 
present, which has three dimensions.

But spacetime itself has complex values!

It would make sense to take 'spacelike' as real and 'timelike' as imaginary.

Now this picture can be rotated and after rotation another axis of time 
would exist, which also has a perpendicular hyperplane of the present 
(with three diemensions!).

A mathematical construct, which would somehow fit, are so called 
'complex-four-vectors' (aka 'bi-quaternions').

These numbers have eight components, what makes them a little odd.

But four (as number of dimensions) is imho wrong, because this would 
restrict the picture to the local environment, which has, of course, 
only one axis of time (and three axes in the hypersheet of the present).

I case you are interested in this topic, you could read my 'book':

https://docs.google.com/presentation/d/1Ur3_giuk2l439fxUa8QHX4wTDxBEaM6lOlgVUa0cFU4/edit?usp=sharing


TH




....