Fizeau Experiment
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For a background on the Fritzeau experiment read the Fritzeau experiment page on Wikipedia.
Incompatibility with Special Relativity
Research Article: Optical Fizeau Experiment with Moving Water is Explained without Fresnel's Hypothesis and Contradicts Special Relativity
Abstract: "Fizeau experiment actually proves not partial, as the special relativity asserts, but complete dragging of the light by moving medium. The decrease of the fringe shift in the Fizeau's two-beam interferometer is explained not with wrong Fresnel's aether drag hypothesis but with the phase deviations arising in the interfering beams because of Doppler shift of the frequencies. Fizeau experiment does not prove but, on the contrary, refutes Einstein's theory of relativity."