Equation 121 · The Bend an Elevator Cannot Fake
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol y_2
is part of the quantity the equation computes from the expression on the right.
Symbol phi
phi is one of the signed contributions combined to compute the quantity on the left.
Symbol h
h is one of the signed contributions combined to compute the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
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 = - and = - . Their difference is an exact finite-difference identity up to a Taylor remainder of order :
Sources cited in the article section
- [15] Physical Geodesy ↗
- [8] Atomic Clock Performance Enabling Geodesy Below the Centimetre Level ↗
- [9] Geopotential Measurements with Synchronously Linked Optical Lattice Clocks ↗
- [6] Geodesy and Metrology with a Transportable Optical Clock ↗
- [5] Test of General Relativity by a Pair of Transportable Optical Lattice Clocks ↗
These citations give research context. Read each source to check which claims it supports.
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