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Equation 27 · Part 6 · How Fast Can a Horizon Learn Which Path You Took?

fraction

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

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

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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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 article section

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