It should be possible to detect the curvature of the surface of the earth locally. How could one do that? Is it related to the locally observed gravitational acceleration g?
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I know, but how do would you measure it locally? Even for spacetime, it seems that measuing curvature requires you to make use of nonzero intervals and therefore can only be expressed locally mathematically but not measured to be so.
It depends how you’re asking.. like practically or in principle? You could measure the radius by just measuring shadows
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Practically, same question applies to spacetime: how could I measure the curvature of a physical manifold like spacetime or the surface of the earth locally? And by locally I mean at a point, rather than by extending geodesics through the manifold.
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I assume something to do woth holonomy, but still, how would one measure this at a point?
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