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2 σy\sqrt2\,\sigma_y

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Take each edge’s fractional-frequency comparison uncertainty to be σy\sigma_y = 1×\times10^{-18} , the stability optical clocks have already demonstrated is what centimetre-level geodesy requires [ 8 ] . The combined noise on the independent-edge difference y2y_2-y1y_1 is 2\sqrt2\,σy\sigma_y . Setting signal equal to noise, ϕ,zz\phi_{,zz}\,h2h^2 = 2\sqrt2\,σy\sigma_y , gives

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σy\sigma_y

Symbol sigma_y

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2 σy\sqrt2\,\sigma_y

Equation 138 · Evolutionary Physics

The Bend an Elevator Cannot Fake

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Take each edge’s fractional-frequency comparison uncertainty to be σy\sigma_y = 1×\times10^{-18} , the stability optical clocks have already demonstrated is what centimetre-level geodesy requires [ 8 ] . The combined noise on the independent-edge difference y2y_2-y1y_1 is 2\sqrt2\,σy\sigma_y . Setting signal equal to noise, ϕ,zz\phi_{,zz}\,h2h^2 = 2\sqrt2\,σy\sigma_y , gives

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