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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\,E = 10^{-9}\,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 ϕ it is unchanged, because it depends only on derivatives of ϕ , never its value; and up to the factor U2 ≈ 1 negligible at the one-part-in- 10^9 level for any terrestrial network, it is c2 times the frame component Ri{}_{0j0} of the Riemann tensor in the static observers’ own rest frame — a…
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Equation 105 · Evolutionary Physics
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
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\,E = 10^{-9}\,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 ϕ it is unchanged, because it depends only on derivatives of ϕ , never its value; and up to the factor U2 ≈ 1 negligible at the one-part-in- 10^9 level for any terrestrial network, it is c2 times the frame component Ri{}_{0j0} of the Riemann tensor in the static observers’ own rest frame — a…
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