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-gravity coupling and gravity-induced quantum phases
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abstract
External gravitational fields induce phase factors in the wave functions of particles. The phases are exact to first order in the background gravitational field, are manifestly covariant and gauge invariant and provide a useful tool for the study of spin-gravity coupling and of the optics of particles in gravitational or inertial fields. We discuss the role that spin-gravity coupling plays in particular problems.
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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.