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Am Dienstag000020, 20.08.2024 um 08:42 schrieb Python:Systems k and K are not even mentioned in part I.2. So "system k wasLe 20/08/2024 à 08:39, Python a écrit :'x' is a generic coordinate in system K and means a distance from the center of K to a point on the x-axis.Le 20/08/2024 à 08:30, Thomas Heger a écrit :>Am Montag000019, 19.08.2024 um 14:56 schrieb Python:>
...>There is also no equation, which could eventually be interpreted as delay calculation.>
As I've shown there is. A single step from the provided equations
leads to t_A = t_B - (AB)/c
>Delay for a signal from A->B in distance x would be:>
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x=c*t => delay (A->B)= x/c
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Extremely simple, isn't it?
Extremely stupid insteed x=c*t is not generally true. x/c is
not at all the delay your asking for. (AB)/c is such a delay.
Einstein defined two coordinate systems (K and k).
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System k was placed with its center upon the axis of x of system K.
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So the value 'x' is a coordinate in respect to system K with distance |x| to system K's center.
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Now I use this setting and place A in the center of K and B in the center of k.
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So: the distance from A to B is x.
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Well, yes, this was a little bad, because I had to explain it in the first place, before I could use this setting.
What you "explain" is, again, something you made up out of nothing.
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Systems K and k are even defined yet in paragraph 2.
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It makes basically no sense to put the center of K at A and the
center of k at B. K and k are in relative motion while clock-A
and clock-B are mutually at rest. So your "setting" is setting
v to 0.
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.
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.
But, of course, your critique is valid and you should not use generic variables for special purposes.AB, (AB) or \overbar(AB) make the job for every one but you.
Therefore I made already the proposal to call the distance from A to B 'd'.
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
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