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Equation 47 · Part 2 · How Fast Can a Horizon Learn Which Path You Took?

Symbol T

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

What this part means

T is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

T is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

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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Learn the underlying idea

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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