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Equation 47 · Part 4 · How Fast Can a Horizon Learn Which Path You Took?

Symbol C

V(T)=(TT0)−C,V(T)=\left(\frac{T}{T_0}\right)^{-C},
CC

What this part means

C is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

C is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

The nonextremal exponential is not universal. Gralla and Wei find that at zero surface gravity a scalar/Klein–Gordon analogue can cross to power-law overlap, V(T)=(TT0)−CV(T)=\left(\frac{T}{T_0}\right)^{-C}. while in their electromagnetic extremal Kerr limit the relevant horizon flux is expelled: both the surface gravity and electromagnetic decohering flux vanish because the external field does not penetrate the horizon [ 3 ] . For a genuine power law with C>0 , a threshold clock scales as a power of the required overlap rather than a logarithm. For the screened electromagnetic case, no horizon record accumulates through that channel.

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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 surrounding passage

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