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The more important question is how the shift in wavelength fits in with Lorentz transformations, time dilation and length contraction. Is there an inequality in the effects on particles with rest mass and massless bosons. This is obviously true simply because of the speed of light. Is this hiding an important inequality?
At two moments in each cycle of the audio feeding into the speaker, while the speaker is moving upwards at about 10.6258 mm/second, the gamma rays will have just the right frequency to be absorbed by Fe57 in the detector. For these moments, the output of the scintillation counter drops, because more of the gamma rays are being absorbed.At these moments, the Doppler shift and gravitational shift cancel, and you get the same result as if you conducted the experiment horizontally.Gamma Rays emitted near the highest point of the speaker cone travel many wavelengths less distance than gamma rays emitted near the lowest point of the speaker cone. But the effect of gravitational shift, which happens over 22.5m dwarfs the effect of the speaker moment (which is probably 0.01m).
The photon that is emitted from the speaker cone from the forward position of the cone, takes a shorter amount of 'time' to travel to the receiver than the photon that is emitted from the backward position of the speaker cone.
Alan - The info that Evan quoted stated that the gravitational shift was cancelled out when exactly the correct 'back and forth' motion of the speaker was matched by the correct position of 1 photon being emitted at 1 distance, and 1 photon being emitted at a different distance... (It didn't quite say this, but this 'is' what it meant, because frequency is the result of oscillation)
I don't understand your fixation with the terminology Doppler shift... The experiment states that a Doppler shift was created to measure the gravitational shift. What more do you want me to say about it?
My observation is that 'relative motion' was used in the test signal to measure gravitational shift over a 'fixed' distance. The relative motion was caused by, what looks very much to me, like a 'time delay'. The light emitter was being reverberated.(Edit: The noise from the speaker will be having no effect on the light whatsoever - it is the noise that drives the speaker, and hence the subsequent oscillations in the speaker cone, upon which the light emitter is mounted, that is creating the frequency in the test signal that cancels out the gravitational shift.)
...and helicopters were not deployed?