Equation 46 · A Horizon Is a Toll Booth, Not a Loophole
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol E_rm loc
m loc is part of the quantity the equation computes from the expression on the right.
Symbol E_0
is an input to the expression that computes the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
That second identity is the entire resolution in miniature, and it is worth deriving [] both ways to see it operate. Hold the local energy budget fixed at =' (a battery physically at the processor, delivering a fixed amount of locally measured energy) over a proper interval :
For background, read the article’s source list.
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