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

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

Equation 27 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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

Meanings in this article

  • TT: the associated Killing time.
  • CC: their dimensionless decohering flux.
  • κ\kappa: surface gravity with inverse-time units in the chosen normalization.
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