Equation 119 · 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 mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. 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 h
h is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
How to interpret it
Read this expression 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.
Return to The Bend an Elevator Cannot Fake