Observation time and emission time
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Observation time and emission time.

Given two reference frames A and B, in which one of them A produces an emission of information (by means of light, sound, seismic waves, etc.) which is collected or captured in the other reference frame B, a time or schedule of emission Te is established in A, and a time or hour of capture or observation of said emission in B, depending on the space S of separation of both reference frames, and on the speed of the medium that carries the information Ve.
The relation formula should be: To - (S/Ve) = Te.
If for example, we give the value 0 to the observation frame of reference at the moment of the observation capture, then it will give us the time since the emission was made.
For example,
Let the information transport mean sound, = 340 m / s,
If a sound is emitted in a reference frame A, distant from another B (1,700 m) which is where the sound is received, if when listening to the sound we decide that the time is 0, then the emission time will be: Te = 0 - (1700/340) = - 5 seconds.
If what we do is look at the clock and it is 4h. 30' 25 ", then the emission time will be:
Te = 4h.30'.25 "- (1700/340) = 4h.30'.20"
And this is applicable to sound, light, etc., and it could also be applicable in the past to stagecoaches, sea mail, etc.