Intrinsic spin couples to gravity via rotation, producing a mass-independent gravitomagnetic Stern-Gerlach force that violates free-fall universality, but at an unmeasurably small level.
Spin - Rotation Coupling Observed in Neutron Interferometry
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abstract
Einstein's theory of general relativity and quantum theory form the two major pillars of modern physics. However, certain inertial properties of a particle's intrinsic spin are inconspicuous while the inertial properties of mass are well known. Here, by performing a neutron interferometric experiment, we observe phase shifts arising as a consequence of the spin's coupling with the angular velocity of a rotating magnetic field. The resulting phase shifts linearly depend on the frequency of the rotation of the magnetic field. Our results agree well with the predictions derived from the Pauli - Schr\"odinger equation.
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Inertia
Intrinsic spin couples to gravity via rotation, producing a mass-independent gravitomagnetic Stern-Gerlach force that violates free-fall universality, but at an unmeasurably small level.