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

D. J. Kapner·T. S. Cook·E. G. Adelberger·J. H. Gundlach·B. R. Heckel·C. D. Hoyle·H. E. Swanson
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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 $λ_{\rm d}=\sqrt[4]{\hbar c/ρ_{\rm d}}\approx 85 μ$m. We find with 95% confidence that the inverse-square law holds ($|α| \leq 1$) down to a length scale $λ= 56 μ$m and that an extra dimension must have a size $R \leq 44 μ$m.

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D. J. Kapner, T. S. Cook, E. G. Adelberger, J. H. Gundlach, B. R. Heckel, C. D. Hoyle, H. E. Swanson. 2006-11-14. Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale. https://doi.org/10.1103/physrevlett.98.021101

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