Equation 120 · Part 4 · The Bend an Elevator Cannot Fake
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article 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 = - and = - . Their difference is an exact finite-difference identity up to a Taylor remainder of order :
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
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 provide research context; check each source for the exact claim it supports.