From limited interactions with Tony, I'm not sure he recognises the differences between Doppler, Cosmological redshift, and gravitational redshift...I could be wrong though.

Doppler Effect Of Gravitational Field. It will unify classical physics and relativity.

https://photos.app.goo.gl/vTBpR1KnAo293hnS6
1.In a uniform gravitational field, the speed of light does not change.

2.At different gravitational field strengths, the speed of light is different.

(1)The stronger the gravitational field, the slower the light speed, and the weaker the gravitational field, the faster the light speed.

(2)Light passing through an uneven gravitational field will cause refraction bending due to different speeds.

3.The Doppler effect exists in the gravitational field.

(1)If away from each other, the strength of the gravitational field will be smaller than that at the relatively stationary state, the larger the relative speed , the weaker the gravitational field;

(2)If close to each other, the strength of the gravitational field will be greater than that at the relatively stationary state, the greater the relative speed, the stronger the gravitational field.

4.There is a uniform gravitational field on the surface of the earth, and the speed of light measured in different directions is constant.

5.To calculate the motion of celestial bodies with universal ravitation, the Doppler effect of the gravitational field needs to be considered. The greater the relative speed, the more pronounced.

https://photos.app.goo.gl/8sGswt8dhJRsxHkJ8
The Doppler effect is classical physics. This theory can be applied to mechanical waves, electromagnetic waves, and gravitational waves as well. Although gravitational waves are not mentioned in classical physics, the model I created for gravitational waves is a model of classical physics. The knowledge you need to understand it does not go beyond the scope of classical physics.

The Doppler effect of the gravitational field I described is clear. The gravitational formula needs to include a velocity (not speed) parameter. F = G * M * m / r ^ 2 * f (x), x is the speed of light minus the component of v in the c direction.

When x = 0, it is the gravitational strength when it is relatively stationary, F = G * M * m / r ^ 2, so f ( 0 ) = 1.

When x = c, the gravitational wave cannot reach the object, so F = 0, so f ( c )= 0.

F = G * M * m / r ^ 2 * f(x) = (G * M * m / r ^ 2) * x / c .
https://photos.app.goo.gl/qPULD1VZFcDfCAh28
The Doppler effect states that the wave receiving frequency becomes higher when the wave source moves toward the observer, and the wave receiving frequency becomes lower when the wave source moves away from the observer. The same conclusion can be reached when the observer moves.

When the observer approaches the source, the observed source frequency is (u + v) / λ, otherwise the observed source frequency is (u-v) / λ.

A frequently used example is the whistle of a train. When a train approaches an observer, its whistle will be harsher than usual. You can hear the harsh changes as the train passes.

If you think of sound waves as pulses that are emitted at regular intervals, you can imagine that if you take a pulse every time you take a step, every pulse before you is closer to you than when you are standing still. The sound source behind you is a step further than when it was still.

When the wave source and the observer have relative motion, the frequency received by the observer will change. In the unit time, the number of complete waves received by the observer increases, that is, the frequency of the received waves increases. For the same reason, when the observer is far away from the wave source, the number of complete waves received by the observer in a unit time is reduced, that is, the frequency received is reduced.

The Doppler effect applies not only to sound waves, but also to all types of waves, including electromagnetic waves. Scientist Edwin Hubble uses the Doppler effect to conclude that the universe is expanding. He found that the frequency of light emitted by celestial bodies far from the galaxy became lower, that is, they moved to the red end of the spectrum, which is called redshift. The faster the celestial bodies leave the galaxy, the greater the redshift. Conversely, if the celestial body is moving towards the Milky Way, the light will be blue-shifted.

In mobile communication, when the mobile station moves to the base station, the frequency becomes higher, and when it moves away from the base station, the frequency becomes lower, so we must fully consider the Doppler effect in mobile communication.

This effect also occurs with volatile light, it is also known as the Doppler-Fizeau effect. Because the French physicist Fizeau (1819 ~ 1896) independently shifted the wavelength from stars in 1848 Explained and pointed out the method to use this effect to measure the relative speed of stars. The difference between light waves and sound waves is that changes in the frequency of light waves make people feel a change in color. If a star moves away from us, the spectrum of light The line moves in the direction of red light, called red shift; if the stars move towards us, the spectrum of light moves in the direction of purple light, called blue shift.

You have been using the classic Doppler effect to calculate celestial motion data. But you are constantly negating the Doppler effect. In mobile communication technology, we have never used anything special relativity, we use the classic Doppler effect.

If you still don't understand what is the classic Doppler effect, please google.

paddoboy