← All parts of this equation

Equation 88 · Part 3 · A Horizon Is a Toll Booth, Not a Loophole

Symbol f

Eloc=E∞/fE_{\rm loc}=E_\infty/\sqrt f
ff

What this part means

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

Its job in the formula

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

The passage around this formula

…(ZAMO) observer is instead dragged around the hole at an angular rate fixed by the metric, with a redshift-like relation between locally measured and asymptotic energy that generalizes ElocE_{\rm loc}=E∞E_\infty/f\sqrt f to the appropriate lapse function of Boyer-Lindquist coordinates [ 13 ] . The ergosphere is also where the Penrose process operates: a particle split inside the ergosphere can send one fragment outward carrying more energy than the original particle possessed, with the deficit paid by the hole’s…

Read this part in the article →

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.

Open the illustrated variables: a letter stands for a value guide →

See this notation across published equations →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.