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One of the first experiments claiming to demonstrate gravitational time dilation on Earth was an interferometer, somewhat similar to the double-slit experiment.A coherent beam with a very short wavelength was split into two and then recombined. By rotating the apparatus, it was possible to have the two beams separated vertically, or equidistant from the center of the Earth. A phase shift was detected between the two positions.The double-slit experiment should be able to be rotated in the same way, showing a small shift between the positions of the dark and light bars (it would not be apparent with visible light, and the apparatus would need to be very rigid or mechanical sagging would affect the result).Presumably the phase shift would be less if the experiment were done in deep space, far from a gravitational mass, and greater if done on a neutron star.Technically, this is a measure of gravitational gradient (ie tidal force), rather than absolute gravitational strength.
Gravity does not affect double slit experiment. As all the photons are accelerated equally by gravity , it would show almost same results in outer space unless you go near black hole and perform double slit experiment