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Equation 27 · Part 4 · How Fast Can a Horizon Learn Which Path You Took?

Symbol kappa

V(T)=exp⁡ ⁣(−CκT2),V(T)=\exp\!\left(-\frac{C\kappa T}{2}\right),
κ\kappa

What this part means

surface gravity with inverse-time units in the chosen normalization.

Its job in the formula

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

Where the article explains it

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.

The passage around this formula

Gralla and Wei calculate the large-holding-time overlap for nonextremal bifurcate Killing horizons in electromagnetic and Klein–Gordon analogues. In their natural-unit convention, V(T)=exp⁡ ⁣(−CκT2)V(T)=\exp\!\left(-\frac{C\kappa T}{2}\right). so the adapter into the exponential ledger is

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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