jeremyfiennes
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Sorry, I'm not there yet. In standard 3-d space dt2–dx2–dy2–dz2=0. Is ds2 as defined here then a measure of deviation from flatness, i.e. of curvature? But that seems to go against your "Minkowski spacetime is globally flat". And for that statement to make any sense to me, I have to know what 'Minkowski spacetime' is, i.e. how it is defined, which I still don't.