@layman,
layman wrote:
[I believe your understanding is wrong.
A doppler shift is phenomenological in nature, not physical. It does not "cause" anything, per se.
I don't know what you mean by 'phenomenological in nature." Is that another term for subjective perception? If so, that's incorrect. Doppler shift is actual compression/decompression of waves that results in frequency change.
Light delivers more energy at higher frequencies. Radio waves, microwaves, and infrared are less energy-dense than visible light, UV, Xrays, and Gamma rays. So when a redder frequency shifts to a bluer one, the same quantity of energy arrive at a faster rate, which means time has to speed up at the source relative to the receiver.
Quote:
But, either way, speed has nothing to do with light frequency or the doppler shift.
If a distant galaxy is redshifted, the spreading-out of the wave peaks could hypothetically be explained if the light slowed down. Slowing down would also cause the wave peaks to arrive at a slower rate.
The assumption, however, is that light doesn't slow down; otherwise there would be different light waves moving at all sorts of different speeds everywhere you look. So assuming that light moves at only one speed in any medium, you can't explain redshifting of light's frequency by claiming the light slowed down. As such, the only other option is to accept that time slows down at the source relative to the observer.
For people living in that distant redshifted galaxy, time might not be slowed; but there is no way we can observe that galaxy moving at its non-redshifted speed because we can't get information (light waves) to arrive at a faster rate than they come.
Maybe there is some way to accelerate toward the galaxy and get its light to blueshift in a way that compensates for the redshift and thus gives us an accurate time-rate and light-frequency image of the galaxy, though.
But to sum up, it's not 'phenomenological.' It's wave-compression or expansion.
This video sums it up well:
https://www.youtube.com/watch?v=y5tKC3nEx2I