Equation 62 · Part 1 · The Bend an Elevator Cannot Fake
Symbol W
What this part means
the because.
Its job in the formula
W is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol W→Article meaning
Where the article explains it
Because W is a smooth, single-valued function of position in the corotating frame for any fixed , folding it into the node potential := W/ preserves exact loop closure for any network of clocks that are themselves at rest relative to the rotating Earth — precisely the convention already standard in relativistic geodesy [ 4 , 3 ] .
The passage around this formula
A loop opens, instead, whenever some edge’s own realization is not simply a difference of two corotating nodes’ W . The clearest documented case is the relativistic Sagnac effect: a synchronization or comparison signal that does not itself corotate with the network — a one-way satellite time transfer, or any path analyzed against a non-rotating inertial frame — picks up an explicit timing correction …
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
- [10] Relativity in the Global Positioning System ↗
- [7] Test of Special Relativity Using a Fiber Network of Optical Clocks ↗
- [2] A Lab-Based Test of the Gravitational Redshift with a Miniature Clock Network ↗
These citations provide research context; check each source for the exact claim it supports.