The following shows three reasons to consider the axial Doppler shift dilation or compression of time for the observer as opposed to just considering the transverse Doppler shift as that. At present most writing call only the transverse that. Because high energy beams are noisy for various reasons and it is impossible to make control experiments on objects light years away, the error remains. The following also shows the Doppler equations apply to motion of all periodic things (objects on conveyor belt or a beam of bullets not just waves). The three reasons are: One, the axial shift in only dependent on the geometry and velocities, which are relations between various time and space dimensions between the source and the observer. Two, the axial shift affects the rate of periodic things in a moving line are observed and rate (frequency) = 1/time. Three, there are no exceptions; the axial shift changes all rates observer sees from the source. The lack of an axial shift is the only error or inconsistency addressed by this paper. With the exception that this paper will prove that length of anything along any axis appears to a moving observer to be 1/K times as big as to a stationary observer. Where K is the resultant shift of frequency of both axil and transverse Doppler shift that light moving along that axis would have. Because frequency times wave length= c velocity if light (same in all reference planes) and wave length is distance. Most writers just assume only the moving direction changes.
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[v1] 2018-09-05 20:20:06
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