15871815_1865612207057628_4478300391244195649_nDecades ago I was struck by a summary a couple of hundred pages into my GR text. “Proper time intervals are invariant but not integrable; coordinate time intervals are integrable but not invariant.” When I reread the statement on page 167 that ANY NON-ZERO TERMS IN THE RIEMANN CURVATURE TENSOR RENDER THAT SPACE NON-INTEGRABLE, it bowled me over.

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