Constraining Spacetime Nonmetricity with Neutron Spin Rotation in Liquid He-4
Abstract
General spacetime nonmetricity coupled to neutrons is studied. In this context, it is shown that certain nonmetricity components can generate a rotation of the neutron's spin. Available data on this effect obtained from slow-neutron propagation in liquid helium are used to constrain isotropic nonmetricity components at the level of 10-22\,GeV. These results represent the first limit on the nonmetricity ζ(6)2S000 parameter as well as the first measurement of nonmetricity inside matter.
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