I have a couple of (noob) questions regarding Doppler Shift and light from a quantum physics perspective:
a) Since different observers will see the light at different frequencies depending on their reference frame / velocity thus resulting in Doppler Shift, does that mean that any light emitted exists in an infinite variation / probability of frequencies, and only the "observed" / measured frequencies will materialize?
b) If there are an infinite / very large number of observers, would the emitted light (say a very brief burst) run out of observable light? Because if a single photon is emitted, then even if there are 2 detectors, only one will fire. Likewise, if an emitted light burst contains only say 1 million photons, does that mean the 1,000,001th observer (or detector) will not see anything?
Thank you for "shedding light on the matter". :)