Multiscale constraints on scalar-field couplings to matter: The geodetic and frame-dragging effects

The impact of light scalars coupled conformally and disformally to matter on the geodetic and frame-dragging precessions is calculated. For larger frequencies the disformal interaction becomes increasingly relevant. We use several satellite experiments and pulsar time of arrival measurements to derive bounds on the couplings, combining the Gravity Probe B, LARES, LAGEOS and GRACE results with pulsar timings. Forecasts for future constraints on the conformal and the disformal couplings based on the GINGER experiment, i.e. a future measurement of the Sagnac effect on Earth, the motion of <math display="inline"><mrow><mi>S</mi></mrow></math> stars around the Galactic Center and future pulsar timing observations are presented.