Equation 28 · How Fast Can a Horizon Learn Which Path You Took?
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.
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Symbol kappa
surface gravity with inverse-time units in the chosen normalization.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →Denominator: 2
The complete quantity below the fraction bar; it must be nonzero for this division.
How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
so the adapter into the exponential ledger is . Here C is their dimensionless decohering flux, is surface gravity with inverse-time units in the chosen normalization, and T is the associated Killing time. Their calculation fixes the numerical factor absent from earlier scaling estimates and evaluates C for an observer on the symmetry axis of a Kerr black hole [ 3 ] . The information equations above neither alter C nor derive . They translate a verified overlap into operational thresholds.
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