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If the technology for muon storage rings one day permits sensitivity toprecession at the order of $10^{-8}$ Hz, the local gravitational field of Earthcan be a dominant contribution to the precession of the muon, which, ifignored, can fake the signal for a nonzero muon electric dipole moment (EDM).Specifically, the effects of Earth's gravity on the motion of a muon's spin isindistinguishable from it having a nonzero EDM of magnitude $d_\mu \sim10^{-29}$ e cm in a storage ring with vertical magnetic field of $\sim$ 1 T,which is significantly larger than the expected upper limit in the StandardModel, $d_\mu \lesssim 10^{-36}$ e cm. As a corollary, measurements of Earth'slocal gravitational field using stored muons would be a unique test todistinguish classical gravity from general relativity with a bonafide quantummechanical entity, i.e., an elementary particle's spin.

Gravitational Effects on Measurements of the Muon Dipole Moments