Absurdities in Physics: Variable Wavelength of Light

Is the fundamental axiom of Einstein-free physics

"For a given emitter, the wavelength of light is constant"

correct? Let us consider three scenarios:

(A) The observer/receiver starts moving: https://youtube.com/watch?v=bg7O4rtlwEE

(B) The emitter starts moving: https://youtube.com/watch?v=xsVxC_NR64M

(C) Light falls in a gravitational field.

In (A) the wavelength is obviously constant:

The University of Texas at Austin: "Thus, the moving observer sees a wave possessing the same wavelength [...] but a different frequency [...] to that seen by the stationary observer." http://farside.ph.utexas.edu/teachin...ml/node41.html

The video in (B) shows varying wavelength, but this contradicts the principle of relativity. If the wavelength varied with the speed of the emitter, the emitter would measure it from time to time, inside his spaceship, and so he would know his speed without looking outside. The wavelength of light is independent of the speed of the emitter.

In (C), the frequency and the speed of falling light vary proportionally, as shown by the Pound-Rebka experiment, which means that the wavelength remains constant. The text below unwittingly admits that:

University of Illinois at Urbana-Champaign: "Consider a falling object. ITS SPEED INCREASES AS IT IS FALLING. Hence, if we were to associate a frequency with that object the frequency should increase accordingly as it falls to earth. Because of the equivalence between gravitational and inertial mass, WE SHOULD OBSERVE THE SAME EFFECT FOR LIGHT. So lets shine a light beam from the top of a very tall building. If we can measure the frequency shift as the light beam descends the building, we should be able to discern how gravity affects a falling light beam. This was done by Pound and Rebka in 1960. They shone a light from the top of the Jefferson tower at Harvard and measured the frequency shift. The frequency shift was tiny but in agreement with the theoretical prediction. Consider a light beam that is travelling away from a gravitational field. Its frequency should shift to lower values. This is known as the gravitational red shift of light." https://courses.physics.illinois.edu...re13/L13r.html

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