An array structure testing the micron-scale Yukawa Gravity

Exploring the specific manifestation of short-range gravity is an important experimental way to study dark matter and dark energy at laboratory scale. Existing techniques have achieved high accuracy at micron scale and above, however, for micron scale or smaller, existing experimental schemes still face the challenge that the large Newtonian gravitational background limits the accuracy of the measurements. We have found an array structure that achieves the goal of eliminating the Newtonian gravitational background at a certain frequency by nesting two sets of period structures, which in turn significantly improves the accuracy of non-Newtonian gravity measurements. Considering the available experimental parameters, this method is expected to achieve an improvement of six orders of magnitude in the parameter space near lambda=10um. As a result, by employing a novel fluid levitation method, our experiments outperform previous magnetic levitation methods and are highly promising to fill the gap in high-precision experiments at the 10um scale. Our proposed method allows further improvement of the accuracy through the integration of components.