Symbol r

The passage around this formula

Even a network that has cleared every check above owes one more: any fictitious, non-curvature contribution to a naive second difference has to be ruled out on its own terms, not merely assumed absent. A uniformly rotating platform’s centrifugal potential, -$\tfrac12$|$\boldsymbol\Omega$$\times$$\mathbf r$|^2 , has a nonzero Hessian too — for rotation about the z -axis, $\mathrm{diag}(-\Omega^2,-\Omega^2,0)$ — but that Hessian is exactly constant across any laboratory-scale network, tied to a rotation axis independently known from astrometry to extraordinary precision, and entirely absent from the trace-free, 2:{-1}:{-1} , 1/$r^3$ -falling pattern a genuine point-like or spherical mass produces. A real…

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