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From: Thomas Heger <ttt_heg@web.de>
Newsgroups: sci.physics.relativity
Subject: Re: [SR and synchronization] Cognitive Dissonances and Mental
 Blockage
Date: Mon, 26 Aug 2024 07:47:49 +0200
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Am Sonntag000025, 25.08.2024 um 09:01 schrieb Thomas Heger:
> Am Samstag000024, 24.08.2024 um 10:11 schrieb Mikko:
>> On 2024-08-24 07:02:23 +0000, Thomas Heger said:
>>
>>> Am Freitag000023, 23.08.2024 um 13:58 schrieb Mikko:
>>> ...
>>>>> In Einstein's case, this was often necessary, because Einstein used 
>>>>> very strange naming conventions.
>>>>>
>>>>> A very simple example would be the symbols for the four used 
>>>>> coordinate systems: K, k, K' and k'.
>>>>
>>>> These symbols are easy to remember: all are variants of K, which is
>>>> the first letter of Koordinaten-system. The only difference is that
>>>> K denotes the coordinate system K, k denotes the coordinate system k,
>>>> K' denotes the coordinate syste K', and k' denotes the coordinate
>>>> system k'. All coordinate systems are intertial, and much else is
>>>> not said about them so needn'd be remembered.
>>>>
>>>
>>> Well, but no.
>>>
>>> The symbols K, k, K' and k' use two variations:
>>> a) small and large letters
>>> b) primed and not primed letters
>>>
>>> Now 'small' means 'moving' (of k along the x-axis of K)
>>
>> Of those that are used at the same time, everyone is moving relative
>> to every other.
>>
>>> But 'primed' means what????
>>
>> Nothing by itself. It is used to create a symbol that is different
>> but not too different from an earlier symbol.


To illustrate the problem of Einstein's naming conventions, I write now, 
what these names actually meant:


K is a cartesian coordinate system, assumed to be at rest, non-rotating 
and unaccelerated in an Euclidean space, which is assumed to 'flat' and 
force free.

The orientations of the axes (of x, y and z) were not mentioned, but I 
use this setting:
x points right
y points 'inside' (if x and z define a two-dimensional plane, like the 
one you draw on)
z points up (because z is usually used for hight)


k is an equally normed coordinate system, which moves with velocity v 
along the x-axis of K 'to the right'. The coordinates had Greek letters 
as names (xsi, eta, zeta).


K' is a coordinate system with the same features as K, but which moves 
from the center of k along the xsi-axis of k 'to the left' with velocity -v


k' is the same, but moving to the left with velocity -w along the 
xsi-axis of k. (the difference between K' and k' is a diffent velocity w 
in case of k').


But how could possibly anybody interpret the names K, k, K' and k' in 
this way?

It required careful investigations to find out, what was actually meant.

And the used names themselves gave absolutely no hints, about how these 
symbols shall be interpreted.

In short: it is a very obscure system to name things!

Usually you need to find a way, by which things get names in a 
consistent manner, which the reader could eventually remember.


....


TH