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Equation 28 · Part 6 · How Fast Can a Horizon Learn Which Path You Took?

Numerator: Ckappa

Γ=Cκ2.\Gamma=\frac{C\kappa}{2}.
CκC\kappa

What this part means

The complete quantity above the fraction bar.

Its job in the formula

Ckappa occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

so the adapter into the exponential ledger is Γ=Cκ2\Gamma=\frac{C\kappa}{2}. Here C is their dimensionless decohering flux, κ\kappa 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 κ\kappa . They translate a verified overlap into operational thresholds.

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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