Equation 6 · Part 5 · The Bend an Elevator Cannot Fake

Symbol t

U(\mathbf x) := d\tau/dt

t

What this part means

t is an input to the expression that computes the quantity on the left.

Its job in the formula

t is an input to the expression that computes the quantity on the left.

Full expressionSymbol tArticle meaning

The passage around this formula

…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 path connecting them, is not an approximation: because $\partial$ / $\partial$ t generates a genuine symmetry of a…

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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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