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

On 2024-08-20 06:02:49 +0000, Thomas Heger said:

Am Montag000019, 19.08.2024 um 14:56 schrieb Python:

Le 19/08/2024 à 08:44, Thomas Heger a écrit :

Am Sonntag000018, 18.08.2024 um 12:05 schrieb Python:
 

Two identical clocks, A and B, are stationary relative to each other at a certain distance. Their identical functioning (within measurement accuracy) allows us to assume that they "tick at the same rate." NOTHING more is assumed, especially regarding the time they display; the purpose is PRECISELY to adjust one of these clocks by applying a correction after a calculation involving the values indicated on these clocks during specific events, events that occur AT THE LOCATION OF EACH CLOCK.
 Einstein’s procedure is not strictly a synchronization procedure but a method to VERIFY their synchronization. This is the main difference from Poincaré’s approach. However, it can be proven that Poincaré’s method leads to clocks synchronized in Einstein’s sense. You can also transform Einstein’s verification method into a synchronization procedure because it allows calculating the correction to apply to clock A.
 *Steps of Einstein's Method:*
 When clock A shows t_A, a light signal is emitted from A towards B.
 When this signal is received at B, clock B shows t_B, and a light signal is sent from B back towards A.
 When the signal is received at A, clock A shows t'_A.

 

 

Relativity requires mutally symmetric methods. So if you synchronize clock B with clock A, this must come to the same result, as if you would synchronize clock A with clock B.

 It is.

 No, it is not!

 It is. It is explained in my initial post : What is (AB)/c to you?

 AB was actually meant as:

Note that in Einstein's text the definition of synchronity (page 894)
does not use AB. Lower on the same page AB has an overbar.

distance from A to B,
 even if A and B are in fact position vectors, hence AB would usually be the scalar product of A and B (what is absurd).

A nad B are not position vectors, they are positions. Postions are not
vectors. AB with overbar is the standard notation for the distance btween
positions A and B.

Besides of this little formal issue (actually meant was |r_AB| ), Einstein had not written AB/c (or r_AB/c).

Einstain also used r_AB, whith an explicit definition of its meaning.
--
Mikko