We call attention to a feasible laboratory experiment with an outcome that depends necessarily on both Planck's constant and the gravitational constant. A neutron interferometer for which the two beams enclose an area of ~ 6 cm² can be cut from a single crystal of silicon. A shift of ~ 10 fringes is anticipated when the interferometer is rotated 180^∘{} about an axis parallel to both the earth's surface and the incident neutron beam.
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Overhauser et al. (1974) studied this question.
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