Gardner's Hypothesis and the Michelson-Morley Experiment

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WHEN Gardner's hypothesis (see preceding communication) is applied to the Michelson-Morley experiment, performed with an interferometer with horizontal rigid arms, carried on the rotating earth, it yields the following formula for fringe-shifts if we take the drag-point to be the centre of the earth: Here δ is the fringe-shift, w the fringe-width, D the arm-length of the interferometer, λ the wave-length used, E the velocity of the earth's surface due to the earth's rotation alone, c the velocity of light, ϕ the deviation of the plumb line, and θ the azimuth of the telescope arm, from the north eastward. If, on the other hand, the drag-point is near the interferometer, the predicted fringe-shift is below the limits of observation.

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