Possible Gravitational Anomalies in Quantum Materials. Phase 1: Experiment Definition and Design

One of the authors MT recently published a paper, suggesting for the first time that a reported disagreement between experimental measurements and theoretical predictions for the magnetic field in rotating superconductors might arise from an anomalous high-order gravitomagnetic contribution also known as frame dragging or Lense-Thirring effect. In normal matter, the ratio between electromagnetic and gravitational fields is given by the difference in the respective permeabilities. However, magnetic fields generated as a consequence of the quantization of the canonical momentum in a superconductor do not depend on the permeability. Hence, there is the possibility that the ratio between those two fields might be different in a quantum material. This report summarizes the work carried out in Phase I the experiment definition, detailed analysis and design. According to the performed analysis, the experimental apparatus described in this report is be able to resolve the gravitational anomaly having an ultimate resolution of 0.3 956g and exceeding the required rotational speeds and angular accelerations.