← Mathematical compendium

Published equation contexts

E∞=f E0′E_\infty = \sqrt{f}\,E_0'

Why this formula appears here

Now hold the asymptotic Killing energy fixed instead, at E∞E_\infty = f\sqrt{f}\,E0E_0' (the amount of energy it would cost a distant experimenter, at infinity, to deliver that same physical resource down to radius r ), and integrate over the corresponding coordinate interval Δ\Delta t = Δ\Deltaτ\tau/f\sqrt f :

Read the full article-specific guide →

Read the representative guide

E∞E_\infty

Symbol E_infty

EiE_infty is part of the quantity the equation computes from the expression on the right.

Read this term in its guide →

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

E∞=f E0′E_\infty = \sqrt{f}\,E_0'

Equation 49 · Evolutionary Physics

A Horizon Is a Toll Booth, Not a Loophole

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Now hold the asymptotic Killing energy fixed instead, at E∞E_\infty = f\sqrt{f}\,E0E_0' (the amount of energy it would cost a distant experimenter, at infinity, to deliver that same physical resource down to radius r ), and integrate over the corresponding coordinate interval Δ\Delta t = Δ\Deltaτ\tau/f\sqrt f :

Equation guide → · Article →