Equation 55 · Part 6 · How Fast Can a Horizon Learn Which Path You Took?
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What this part means
Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.
Its job in the formula
Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.
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The passage around this formula
That motivates two access models. The global algebra score permits the optimal measurement on the entire declared horizon state. The causal collector score restricts the measurement to the world tube and duration of a modeled interior receiver. Their difference is an access gap, . This gap is another proposed observable. It prevents the phrase “information is in the horizon state” from becoming “one observer can gather it.” The global score is a capacity statement; the collector score is an engineering task constrained by causal geometry.
Learn the underlying idea
Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.
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