Observation time and emission time
Of ferman: Fernando Mancebo Rodriguez--- Personal page. ----Spanish pages
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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.
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.