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From: Thomas Heger <ttt_heg@web.de>
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Subject: Re: [SR and synchronization] Cognitive Dissonances and Mental
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Date: Thu, 22 Aug 2024 08:51:06 +0200
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Am Mittwoch000021, 21.08.2024 um 09:31 schrieb Python:

>>> Addendum : "the distance from A to B is x": this is wrong too.
>>> x is the coordinate of an event in system K, it is not, in
>>> general, the distance between origins of K and k.
>>
>> 'x' is a generic coordinate in system K and means a distance from the 
>> center of K to a point on the x-axis.
>>
>> Since system k was placed with its center upon the x-axis and B in the 
>> center of k, the distance from A to B would actually be x.
> 
> Systems k and K are not even mentioned in part I.2. So "system k was
> placed with its center upon the x-axis and B in the center of k"
> is a figment of your imagination in no way related to A.E. article.

Wrong, because definitions remain valid throughout the entire paper, 
unless stated otherwise.

If an author defines some variable or other setting and later 'foregets' 
this definition, all older settings remain valid.

What you apparently want is simply inexaptable:
you want the reader to find out, which definition is valid at a certain 
position of the text and which one already expired.

The author needs to stick to a certain setting, because otherwise a 
reader could not jump backwards with reading in a paper, if the setting 
changes.


> 
>> But, of course, your critique is valid and you should not use generic 
>> variables for special purposes.
>>
>> Therefore I made already the proposal to call the distance from A to B 
>> 'd'.
> 
> AB, (AB) or \overbar(AB) make the job for every one but you.
> 
>> BTW: x was not meant as coordinate of an event, because system K and k 
>> were defined as Euclidian coordinate systems.
> 
>> Such a coordinate system does not contain time in any way, hence 
>> cannot address events.
> 
> k and K are defined as 4-D dimensional systems with coordinates
> x, y, z, t and epsilon, nu, eta, tau. BOTH include a time coordinate
> so BOTH are representing EVENTS.

Actually 'coordinate systems' were mentionend and only the axes x, y and 
z in K and xsi, eta and zeta in k.

These cordinate systems should be Euclidean, because Einstein wrote so.

These coordinate systems were combined with a time measure t or tau, 
which would be kind of 4-dimensional, if you count 3 + 1.

But time isn't a spatial dimension, hence '4D' is rather misleading.
....

TH