Authors: Eric Su
The interference pattern from a Fizeau interferometer is conserved in all inertial reference frames. Its constructive pattern requires the wavelength to be proportional to the width of the interferometer at the point of interference. The length contraction from Lorentz transformation assumes the interferometer to be contracted in the direction of the relative motion. The wavelength is contracted as well. For two observers moving at the same speed, the contracted wavelength appears to be identical for both of them. If one of them moves in the opposite direction, they will observe an identical wavelength but two different frequencies due to the Doppler effect. Consequently, they observe two different speeds from the same light.
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[v1] 2019-09-01 14:18:42
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