$\bf{<30}$ 
95 
^{ 1} 


• • • We do not use the following data for averages, fits, limits, etc. • • • 


^{ 2} 

MICR 


^{ 3} 

MICR 


^{ 4} 




^{ 5} 




^{ 6} 




^{ 7} 




^{ 8} 




^{ 9} 




^{ 10} 




^{ 11} 




^{ 12} 




^{ 13} 


$<47$ 
95 
^{ 14} 




^{ 15} 


$<130$ 
95 
^{ 16} 




^{ 17} 


${ {}\lesssim{} }\text{ 200}$ 
95 
^{ 18} 


$<190$ 
95 
^{ 19} 




^{ 20} 


^{1}
KAPNER 2007 search for new forces, probing a range of $\alpha $ $≅$ $10^{3}  10^{5}$ and length scales $\mathit R$ $≅$ $10  1000$ $\mu $m. For $\delta $ = 1 the bound on $\mathit R$ is 44 $\mu $m. For $\delta $ = 2, the bound is expressed in terms of ${{\mathit M}_{{*}}}$, here translated to a bound on the radius. See their Fig. 6 for details on the bound.

^{2}
BERGE 2018 uses results from the MICROSCOPE experiment to obtain constraints on nonNewtonian forces with strengths $10^{11}{ {}\lesssim{} }$ $\vert {{\mathit \alpha}}\vert { {}\lesssim{} }$ $10^{7}$ and length scales $\mathit R$ ${ {}\gtrsim{} }10^{5}$ m. See their Figure 1 for more details. These constraints do not place limits on the size of extra flat dimensions.

^{3}
FAYET 2018A uses results from the MICROSCOPE experiment to obtain constraints on an EPviolating force possibly arising from a new U(1) gauge boson. For $\mathit R$ ${ {}\gtrsim{} }10^{7}$ m the limits are $\vert {{\mathit \alpha}}\vert $ ${ {}\lesssim{} }$ a few $10^{13}$ to a few $10^{11}$ depending on the coupling, corresponding to $\vert {{\mathit \epsilon}}\vert $ ${ {}\lesssim{} }$ $10^{24}$ for the coupling of the new spin1 or spin0 mediator. These constraints do not place limits on the size of extra flat dimensions. This extends the results of FAYET 2018 .

^{4}
HADDOCK 2018 obtain constraints on nonNewtonian forces with strengths $10^{22}{ {}\lesssim{} }$ $\vert {{\mathit \alpha}}\vert { {}\lesssim{} }$ $10^{24}$ and length scales $\mathit R$ $≅$ $0.01  10$ nm. See their Figure 8 for more details. These constraints do not place limits on the size of extra flat dimensions.

^{5}
KLIMCHITSKAYA 2017A uses an experiment that measures the difference of Casimir forces to obtain bounds on nonNewtonian forces with strengths $\vert \alpha \vert $ $≅$ $10^{5}  10^{17}$ and length scales $\mathit R$ = $0.03  10$ $\mu $m. See their Fig. 3. These constraints do not place limits on the size of extra flat dimensions.

^{6}
XU 2013 obtain constraints on nonNewtonian forces with strengths $\vert \alpha \vert $ $≅$ $10^{34}  10^{36}$ and length scales $\mathit R$ $≅$ $1  10$ fm. See their Fig. 4 for more details. These constraints do not place limits on the size of extra flat dimensions.

^{7}
BEZERRA 2011 obtain constraints on nonNewtonian forces with strengths $10^{11}{ {}\lesssim{} }$ $\vert {{\mathit \alpha}}\vert { {}\lesssim{} }$ $10^{18}$ and length scales $\mathit R$ = $30  1260$ nm. See their Fig. 2 for more details. These constraints do not place limits on the size of extra flat dimensions.

^{8}
SUSHKOV 2011 obtain improved limits on nonNewtonian forces with strengths $10^{7}{ {}\lesssim{} }$ $\vert {{\mathit \alpha}}\vert $ ${ {}\lesssim{} }$ $10^{11}$ and length scales 0.4 ${{\mathit \mu}}$m $<$ ${{\mathit R}}$ $<$ 4 ${{\mathit \mu}}$m (95$\%$ CL). See their Fig. 2. These bounds do not place limits on the size of extra flat dimensions. However, a model dependent bound of ${{\mathit M}_{{*}}}$ $>$ 70 TeV is obtained assuming gauge bosons that couple to baryon number also propagate in (4 + ${{\mathit \delta}}$) dimensions.

^{9}
BEZERRA 2010 obtain improved constraints on nonNewtonian forces with strengths $10^{19}{ {}\lesssim{} }$ $\vert \alpha \vert { {}\lesssim{} }$ $10^{29}$ and length scales $\mathit R$ = $1.6  14$ nm (95$\%$ CL). See their Fig.$~$1. This bound does not place limits on the size of extra flat dimensions.

^{10}
MASUDA 2009 obtain improved constraints on nonNewtonian forces with strengths $10^{9}{ {}\lesssim{} }\vert \alpha \vert { {}\lesssim{} }10^{11}$ and length scales $\mathit R$ = $1.0  2.9$ $\mu $m (95$\%$ CL). See their Fig.$~$3. This bound does not place limits on the size of extra flat dimensions.

^{11}
GERACI 2008 obtain improved constraints on nonNewtonian forces with strengths $\vert \alpha \vert $ $>$ 14,000 and length scales $\mathit R$ = $5  15$ $\mu {\mathrm {m}}$. See their Fig. 9. This bound does not place limits on the size of extra flat dimensions.

^{12}
TRENKEL 2008 uses two independent measurements of Newton's constant $\mathit G$ to constrain new forces with strength $\vert \alpha \vert ≅10^{4}$ and length scales $\mathit R$ = $0.02  1$ m. See their Fig. 1. This bound does not place limits on the size of extra flat dimensions.

^{13}
DECCA 2007A search for new forces and obtain bounds in the region with strengths $\vert \alpha \vert $ $≅$ $10^{13}  10^{18}$ and length scales $\mathit R$ = $20  86$ nm. See their Fig. 6. This bound does not place limits on the size of extra flat dimensions.

^{14}
TU 2007 search for new forces probing a range of $\vert \alpha \vert $ $≅$ and length scales $\mathit R$ $≅$ $20  1000$ $\mu $m. For $\delta $ = 1 the bound on $\mathit R$ is 53 $\mu $m. See their Fig. 3 for details on the bound.

^{15}
SMULLIN 2005 search for new forces, and obtain bounds in the region with strengths $\alpha $ $\simeq{}$ $10^{3}  10^{8}$ and length scales ${{\mathit R}}$ = $6  20$ ${{\mathit \mu}}$m. See their Figs.$~$1 and 16 for details on the bound. This work does not place limits on the size of extra flat dimensions.

^{16}
HOYLE 2004 search for new forces, probing $\alpha $ down to and distances down to 10$\mu $m. Quoted bound on $\mathit R$ is for $\delta $ = 2. For $\delta $ = 1, bound goes to 160 $\mu $m. See their Fig. 34 for details on the bound.

^{17}
CHIAVERINI 2003 search for new forces, probing $\alpha $ above $10^{4}$ and $\lambda $ down to 3$\mu $m, finding no signal. See their Fig.$~$4 for details on the bound. This bound does not place limits on the size of extra flat dimensions.

^{18}
LONG 2003 search for new forces, probing $\alpha $ down to 3, and distances down to about 10$\mu $m. See their Fig.$~$4 for details on the bound.

^{19}
HOYLE 2001 search for new forces, probing $\alpha $ down to and distances down to 20$\mu $m. See their Fig.$~$4 for details on the bound. The quoted bound is for $\alpha $ ${}\geq{}$ 3.

^{20}
HOSKINS 1985 search for new forces, probing distances down to 4$~$mm. See their Fig.$~$13 for details on the bound. This bound does not place limits on the size of extra flat dimensions.
