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Published equation contexts

y1=ϕ(0)−ϕ(−h)y_1 = \phi(0)-\phi(-h)

Why this formula appears here

An exact analytic evaluation, not a simulation, fixes the scale this actually requires. Take three clocks stacked vertically at heights -h , 0 , and +h near Earth’s surface, giving two edges y1y_1 = ϕ(0)\phi(0)-ϕ(−h)\phi(-h) and y2y_2 = ϕ(h)\phi(h)-ϕ(0)\phi(0) . Their difference is an exact finite-difference identity up to a Taylor remainder of order h4h^4 :

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Published contexts (1)

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y1=ϕ(0)−ϕ(−h)y_1 = \phi(0)-\phi(-h)

Equation 120 · Evolutionary Physics

The Bend an Elevator Cannot Fake

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

An exact analytic evaluation, not a simulation, fixes the scale this actually requires. Take three clocks stacked vertically at heights -h , 0 , and +h near Earth’s surface, giving two edges y1y_1 = ϕ(0)\phi(0)-ϕ(−h)\phi(-h) and y2y_2 = ϕ(h)\phi(h)-ϕ(0)\phi(0) . Their difference is an exact finite-difference identity up to a Taylor remainder of order h4h^4 :

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