Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale

Abstract

We conducted three torsion-balance experiments to test the gravitational inverse-square law at separations between 9.53 mm and 55 micrometers, probing distances less than the dark-energy length scale ${\lambda }_{\mathrm{d}}=\sqrt[4]{\hslash c/{\rho }_{\mathrm{d}}}\approx 85\mu$m. We find with 95% confidence that the inverse-square law holds ($|\alpha |\le 1$) down to a length scale $\lambda =56\mu$m and that an extra dimension must have a size $R\le 44\mu$m.

4 pages, 6 figures

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