Modeling an Experiment to Measure the Speed of Gravity in Short Distances Using Rotating Masses: Frequency Optimization

Abstract

An experiment to measure the speed of gravitational signals using rotating masses in short distances has been developed with the intention to study its behaviour when a medium different from air is allocated between the emitter and the detection and check if the speed of the interaction changes. The experiment is composed of two masses rotating at incredible rotation (the goal is rotate the masses at rotation speed higher than 600,000 RPM, that excites a saphire bar called the detector. The amplitude of the central device (detector) is monitored by an ultralow phase noise microwave signal using resonance in the whispering gallery modes and cooled down at 4.2 K. Between the rotating masses and the detector, a different medium will be placed, and then the speed is measured and compared with the case where the medium is pure air. The modelling of the experiment is made assuming the detector as a spring-mass system. The results show that the detection is achievable.