Since frequncy is 1/time time is changed writers on relativity confine this to the Transverse shift. That makes little sense the first attached paper shows for both the axial and transverse Doppler everything in a Fourier time series that exists for A will be observed for A/k by the observer (k=shifted frequency/original frequency).
That means the number of observed photons per second (not just each photon's frequency).
Since the axial shift has a cos(B) factor (B=observation angle), there will be a different frequency, intensity, and information transmission rate in each direction. Although the average of cos(B) for all B is zero. The variance is not, Therefore the observed variance of frequncy, wave length, number photons per second, intensity and information transmission rate are changed.
See the attached files for more details.
Crucially measured energy levels.
Frequency is a key indicator of the energy content of light. The shorter the wavelength the higher the energy content.
Doppler shift is a measure of the relative velocity of the observer to that light.
Hence, if you are moving with / against the beam of travel then your measurements are displaced by the Doppler shift.
Nothing in the above said frequency is not an indicator of energy, but so are the number of observed photons. If you read the the attached files you will I am saying observed time itself is changed by the axial Doppler shift just like by the transverse Doppler shift. Writers on relativity said only the transverse shift does that. But is obvious from frequency=1/time any thing that changes all observed frequencies in a vacuum changes observed time. Therefore the number of observed photons per second is changed as well as the frequency of each. Also the rate of emissions.
Current mainstream theory (relativity in particular) would argue that you do not see a change in the observed number of photons....Why?
Because the speed of light is a constant regardless of your frame of reference so no matter how fast you travel (non-relativistic speeds) you still see the same photons which will still be travelling at exactly the same speed C
All you will observe is a red-shift where you are travelling in the same direction as the photons (= lower energy light) or a blue-shift if you are travelling in the opposite direction (= higher energy light).
This phenomenon of a constant C across reference frames is a central tenet of modern physics and is strongly supported by many forms of evidence.
It is also the only justification for the Doppler effect in light.
Even if the photons travel at same speed the observed time and space was changes by the velocity. That includes the time between photons and space between photons. For observed frequency to change by a factor K, observed time must change by a factor 1/K, because frequency=1/time. Since the velocity of light remains the same observed distance must change by the same factor as time. That includes the observed time on the light emitter which means the observed rate of photons are emitted. All rates are frequencies and their observed value changes with the closing velocity between the source and observer. The big part of relativity.
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