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Equation 28 · Part 4 · How Fast Can a Horizon Learn Which Path You Took?

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Γ=Cκ2.\Gamma=\frac{C\kappa}{2}.
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

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