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Equation 35 · Part 1 · How Fast Can a Horizon Learn Which Path You Took?

Symbol Gamma

ΓT\Gamma T
Γ\Gamma

What this part means

Gamma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

Gamma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Clock discipline matters near a horizon. A static laboratory’s proper time and the asymptotic Killing time differ by the lapse. Affine parameters on the horizon enter the mode decomposition differently again. The product Γ\Gamma T must be dimensionless after the rate and duration have been expressed in the same convention. The planned code carries a clock identifier with every rate object and refuses to multiply mismatched clocks. Relabeling an asymptotic rate as a local proper-time rate can create an apparent redshift enhancement or suppression without changing the physics.

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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 article section

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