Equation 58 · Part 4 · The Bend an Elevator Cannot Fake

Symbol A_e

\Delta t_e = (2/c^2)\,\boldsymbol\Omega \cdot \mathbf A_e

A_e

What this part means

the area swept by that specific link’s path, projected onto Earth’s equatorial plane.

Its job in the formula

$A_e$ is one factor in the product that computes the quantity on the left.

Full expressionSymbol A_eArticle meaning

Where the article explains it

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 $\Delta$ $t_e$ = (2/ $c^2$ )\, $\boldsymbol\Omega$ $\cdot$ $\mathbf A_e$ , where $\mathbf A_e$ is the area swept by that specific link’s path, projected onto Earth’s equatorial plane.

The passage around this formula

…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 $\Delta$ $t_e$ = (2/ $c^2$ )\, $\boldsymbol\Omega$ $\cdot$ $\mathbf A_e$ , where $\mathbf A_e$ is the area swept by that specific link’s path, projected onto Earth’s equatorial plane. That expression carries units of time, while an edge datum is a dimensionless log frequency ratio, so what actually enters the edge is $s_e$ = $\Delta$ $t_e$ /T for the averaging interval T…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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