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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Curvature tensor of the surface or of spacetime though? Idk how one would measure the curvature tensor of the surface directly but I assume you could construct it from studying the curvature tensor of spacetime, as that’s much easier to observe.
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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.
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It depends how you’re asking.. like practically or in principle? You could measure the radius by just measuring shadows
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