Abstract
Section 1 gave proof (found in reference [1]) that axial like the transverse changes observed time. Section 2 showed that the speed of light is the same in all reference frames and distance has the same Doppler shift (distortion due to velocity) as time. Section 3 shows that equations quantum mechanics (like De Broglie’s) imply that momentum has the same Doppler shift as frequency. If and only if the velocity in de Broglie’s equation is the absolute relative velocity between the observer and the observed, mass and momentum both have the same Doppler shift (resultant of any axial and transverse shifts) as frequency. Section 4 proposes an experiment to further prove the result of Section 1.
Highlights
Frequency is 1/time, everything that changes observed frequency in a vacuum regardless of materials does the same to time
That would mean if K is the Doppler shift of frequency factor 1/K is the Doppler shift of time (1/K = observed time/original time on the observed)
That means each of the shifted subharmonics has the same value in time = t/K as the original had in time = t
Summary
Einstein’s second postulate is that the speed of light (c) is the same in all reference planes. In any reference plane distance is c × time. Distance has the same Doppler shift as time (distortion due to velocity). Distance (wave length) has the same Doppler shift as time (from Section 2) which is 1/K where K is the Doppler shift of frequency. Momentum mv has the same Doppler shift as frequency. The velocity here is the absolute relative velocity between the observed and the observer (can be an instrument). The only change of reference possible is the equation is going the reference to the mass and the absolute closing velocity is still positive (they are going to together in either case). Mass has the same Doppler shift as frequency here, if and only if the velocity in the equation is the absolute closing velocity. Where the subscript o means rest value and no o subscript means with a resultant velocity vr of both axial and transverse velocities between the observed and the observer at an observation angle of θ
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