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

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arxiv hep-ph/0611184 v1 pith:PUW2NPT6 submitted 2006-11-14 hep-ph gr-qc

classification hep-phgr-qc
keywords inverse-squarelengthscaledark-energygravitationallambdaalphaapprox
verification ladder T0 review T1 audit T2 compute T3 formal

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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 $\lambda_{\rm d}=\sqrt[4]{\hbar c/\rho_{\rm d}}\approx 85 \mu$m. We find with 95% confidence that the inverse-square law holds ($|\alpha| \leq 1$) down to a length scale $\lambda = 56 \mu$m and that an extra dimension must have a size $R \leq 44 \mu$m.

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