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Equation 47 · Part 1 · How Fast Can a Horizon Learn Which Path You Took?

Symbol V

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

What this part means

V is part of the quantity the equation computes from the expression on the right.

Its job in the formula

V is part of the quantity the equation computes from the expression on the right.

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 function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

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