Experiments measuring the Newtonian gravitational constant $G$ can offer uniquely sensitive probes of the test of the gravitational inverse-square law. An analysis of the non-Newtonian effect in two independent experiments measuring $G$ is presented, which permits a test of the $1/r^2$ law at the centimeter range. This work establishes the strongest bound on the magnitude $\alpha$ of Yukawa-type deviations from Newtonian gravity in the range of 5–500 mm and improves the previous bounds by up to a factor of 7 at the length range of 60–100 mm.

• Received 6 January 2021
• Accepted 4 May 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.211101