$$U^2 \approx 1$$

Equation 104 · Evolutionary Physics

The Bend an Elevator Cannot Fake

This equation gives an approximation: it relates the quantities while allowing an approximation.

a symmetric rank-two tensor in the local spatial frame of the static observers, with units of inverse time squared — the Eötvös units already standard in gravity-gradient surveying, where 1\,$\mathrm E$ = 10^{-9}\,$\mathrm{s^{-2}}$ . Under a rotation of the local spatial axes it transforms as an ordinary rank-two tensor; under a change of which node is used as the additive reference for $\phi$ it is unchanged, because it depends only on derivatives of $\phi$ , never its value; and up to the factor $U^2$ $\approx$ 1 negligible at the one-part-in- 10^9 level for any terrestrial network, it is $c^2$ times the frame component $R^i${}_{0j0} of the Riemann tensor in the static observers’ own rest frame — a…

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