The fundamental axiom of future, Einstein-free physics:

The wavelength of light is constant (for a given emitter).

Is the axiom correct? Judging from the three scenarios below, it is:

(A) The observer starts moving relative to the emitter https://www.youtube.com/watch?v=bg7O4rtlwEE. The wavelength (distance between light pulses) obviously remains constant while the frequency and the speed of the pulses vary proportionally for the moving observer, in violation of Einstein's relativity.

(B) The emitter starts moving relative to the observer https://www.youtube.com/watch?v=xsVxC_NR64M. It is universally taught that the wavelength of light varies with the speed of the emitter, as shown in the video, but this contradicts the principle of relativity. If the wavelength varied, the emitter would measure it regularly, inside his spaceship, and so he would be able to calculate his speed without looking outside. The wavelength of light is constant, independent of the speed of the emitter.

(C) Light falls in a gravitational field. The frequency and the speed of falling light vary proportionally, and accordingly the wavelength remains constant. This is clearly shown he

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

"To see why a deflection of light would be expected, consider Figure 2-17, which shows a beam of light entering an accelerating compartment. Successive positions of the compartment are shown at equal time intervals. Because the compartment is accelerating, the distance it moves in each time interval increases with time. The path of the beam of light, as observed from inside the compartment, is therefore a parabola. But according to the equivalence principle, there is no way to distinguish between an accelerating compartment and one with uniform velocity in a uniform gravitational field. We conclude, therefore, that A BEAM OF LIGHT WILL ACCELERATE IN A GRAVITATIONAL FIELD AS DO OBJECTS WITH REST MASS. For example, near the surface of Earth light will fall with acceleration 9.8 m/s^2." http://web.pdx.edu/~pmoeck/books/Tipler_Llewellyn.pdf

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