Equation 139 · 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 phi_,zz
phi_,zz is part of the quantity the equation computes from the expression on the right.
Symbol sigma_y
sigm is an input to the expression that computes 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.
superscript
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
See an illustrated explanation →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
σ y . Setting signal equal to noise, \, = \, , gives
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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