I read somewhere that if the center of mass of two twelve ton elephants was one meter apart then the space they curve would be one nanometer longer. (Though I doubt elephants come that dense)
This got me thinking though. Could an olympic swimming pool which contains about 2500 tons of water be used to observe and measure the curvature of space? (It could be filled with mercury if a higher density is needed)
Would the full swimming pool be about 100 nanometers longer than the empty swimming pool?
Has anyone tried an experiment along these lines?
(On hindsight and from answers to other questions I think the two elephants may be referring to neutron star material or even black holes, as the increased diameter caused by curvature from 12 tons at Earth densities is 20 or 30 orders of magnitude smaller than a nanometer.)
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