Equation 14 · Part 6 · The Bend an Elevator Cannot Fake

Symbol x_j

y_{ij} := \ln(\nu_j/\nu_i) = \phi(\mathbf x_i) - \phi(\mathbf x_j).

x_j

What this part means

$x_j$ is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

$x_j$ is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol x_jArticle meaning

The passage around this formula

…d $\tau$ /dt , the local rate of proper time relative to coordinate time. Two clocks compared through any phase-coherent link that depends only on their respective proper frequencies report the ratio $\nu_j$ / $\nu_i$ = U( $\mathbf x_j$ )/U( $\mathbf x_i$ ) — a fact about stationary spacetimes that follows from the timelike Killing vector generating t -translations, and one on which the standard treatments of relativity in a geodetic or navigational setting already rely [ 10 , 14 ] . The dependence on endpoints only, never on the…

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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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