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Originally Posted by daver
believing the results.
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You have no “results”. You have only fantasy theory.
An illusion of a Doppler shift is called the Doppler Effect, discovered by Doppler in 1842.
The first part of this discussion was about the “real” time of moving objects, not the illusion caused by a Doppler effect.
A real object can not be an infinite number of “real” ages, based on who is “looking” at it at the moment. You need to understand the difference between a real clock rate and an illusional clock rate. Relative motion and the Doppler Effect causes an illusional clock rate to be “seen” by observers, but a “real” clock rate is only one real rate, at the clock in question, and this is not altered by “relative motion”. It is only altered by a real physical force being placed on or experienced by the clock. Just “relative motion” does not cause such a real force to be placed on the clock.
An atomic clock slows down in a strong gravity field, and it speeds up in a weak one, due to the two different gravitational forces placed on the clock. This also happens with the acceleration of an atomic clock. But it does not happen due only to “relative motion”.
This is why Einstein added the acceleration and the gravity field to his SR theory in 1918, and this is why he didn't use just "relative motion" in his 1918 version of the SR theory. You need to study more of his actual papers and read fewer of the pop-science books of today.