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 in a Rotating Universe
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abstract
The coupling of intrinsic spin with the nonlinear gravitomagnetic fields of Goedel-type spacetimes is studied. We work with Goedel-type universes in order to show that the main features of spin-gravity coupling are independent of causality problems of the Goedel universe. The connection between the spin-gravitomagnetic field coupling and Mathisson's spin-curvature force is demonstrated in the Goedel-type universe. That is, the gravitomagnetic Stern--Gerlach force due to the coupling of spin with the gravitomagnetic field reduces in the appropriate correspondence limit to the classical Mathisson spin-curvature force.
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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.