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ΓT\Gamma T

Why this formula appears here

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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Γ\Gamma

Symbol Gamma

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

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Published contexts (1)

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ΓT\Gamma T

Equation 35 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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.

Meanings in this article

  • TT: the associated Killing time.
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