Equation 120 · Part 2 · The Bend an Elevator Cannot Fake

Symbol phi

y_1 = \phi(0)-\phi(-h)

\phi

What this part means

phi is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

phi is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol phiArticle meaning

The passage around this formula

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 $y_1$ = $\phi(0)$ - $\phi(-h)$ and $y_2$ = $\phi(h)$ - $\phi(0)$ . Their difference is an exact finite-difference identity up to a Taylor remainder of order $h^4$ :

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the article section

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