Galileean relativity doesnt work for waves
All physicsist applied galillean relativity to waves, by using the rest frame of a moving observer as the frame of reference for the wave.
But that is wrong because waves have a preffered frame of refrence which is the rest fraem of its medium. So it is simply wrong to use the reference frame of the observer when measuring the speed of waves, and add the speed of the wave to the speed of the observer and then conclude that the moving observer measures a different speed of the wave. They only measure a different freqeuncy and wavelength, not a different speed.
And then they were shocked when experiments did not show the speed of light to be variant for moving observers ! Because they did not understand classical wave physics, where waves have a preffered frame of reference, the rest frame of their medium, and their speed is independent of the speed of source or observer. So the speed of the wave remains constant no matter how the source or observer are moving, and is always measured relative to the rest frame of the medium, and not to the rest frame of the observer. What the observer measures differently is the observed frequency and wavelength (which are Doppler shifted due to the relative speed between source and observer), and not the speed of the wave, which always remains constant because it is fixed by the medium and its speed is always v=flambda and f’lambda’=v, not v+vo or v-vo.
Here is how to correctly calculate the observed wave speed for a moving observer, by multiplying observed frequency and wavelength:
The product is v or c because the Doppler shifts cancel out when observed frequency is multiplied with the observed wavelength, which results in flambda=v. It is not v+vo, because the speed of the wave remains unchanged when the observer is moving, and only the observed frequency and wavelength change. And the claim that the observed wavelength remains unchanged for the moving observer is false, because it is obvious that if the observed frequency f’ changes, the observed period T’ of the wave also changes (T’=1/f’), and the observed wavelength must change since the speed of the wave remains constant: v=lambda’/T’ => lambda’=vT’.
The physicists who claim otherwise are wrong because they are mixing frames and confusing the relative speed between observer and wave (v+vo) with the speed of the wave, writing it as v+vo=f’lambda=lambda/T’. This equation is matematically correct but physically wrong because the speed of the wave is never v+vo, it is always v ! And uses the medium wavelength lambda which only an observer at rest measures, not the moving observer, which is mixing frames. The matematically and physically correct equation for determining the observed speed of the wave for a moving observer is: v=f’lambda’=lambda’/T’.
Note: the calculation for speed of light assumes the existence of the aether medium, as required and postulated by classical lightwave theory
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