Re: [SR and synchronization] Cognitive Dissonances and Mental Blockage

Am Montag000019, 19.08.2024 um 14:56 schrieb Python:
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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:
>
x=c*t => delay (A->B)= x/c
>
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).
System k was placed with its center upon the axis of x of system K.
So the value 'x' is a coordinate in respect to system K  with distance |x| to system K's center.
Now I use this setting and place A in the center of K and B in the center of k.
So: the distance from A to B is x.
Well, yes, this was a little bad, because I had to explain it in the first place, before I could use this setting.
I would agree, that another variable name for distance would have been better.
How about 'd'?
(d for distance)
So d = 'distance from A to B'.
then:
  delay(A->B) = d/c

 

Now you need to measure this delay, because you cannot measure distance x with rods (at least in cosmology).

 If rods are not practical, then use another method.
 The point of synchronizing clocks is practically about clocks involved
in a single experiment in a single laboratory by the way, not
cosmological distances.

'empty space' and 'inertial motion' are not really possible upon Earth' surface.
Therefore, the 'environment' of SRT is usually something very remote from any other celestial object, in the far ends of the universe.
'In one single lab' isn't even remotely what SRT is about.
But smallness isn't actually an issue here, because it makes no difference in principle, if you place two floating spaceships into a distance of 1 lightyear or 1 nano-light-second.
What disturbs the measurements is actually air and gravity.

But where have you found such a calculation in Einstein's text???

 Distance (AB) is assumed to be known.
 

And where have you found any use of the value for delay?

  From both equation provided by A.E. I can derive t_A = t_B - (AB)/c
i.e. t'_A = t_B - "delay"

https://ia601704.us.archive.org/23/items/einstein-1905-relativity/Einstein_1905_relativity.pdf
Einstein had a slightly different equation.
But he used it not as calculation of delay, but as definition of the speed of light.
(§1, page 3, last paragraph)
quote
"In agreement with experience we further assume the quantity
2AB/(t′_A − t_A)= c,
to be a universal constant—the velocity of light in empty space."
What you apparently quoted was on page 5 first paragraph.
But this didn't contain 'c' but 'c-v' in the denominator and was also meant for some other situation.
TH
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