Equation 35 · Part 2 · How Fast Can a Horizon Learn Which Path You Took?
Symbol T
What this part means
the associated Killing time.
Its job in the formula
T is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol T→Article meaning
Where the article explains it
Here C is their dimensionless decohering flux, is surface gravity with inverse-time units in the chosen normalization, and T is the associated Killing time.
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 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.
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.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the article section
- [3] Decoherence from Horizons: General Formulation and Rotating Black Holes ↗
- [2] Killing Horizons Decohere Quantum Superpositions ↗
- [4] Decoherence by Warm Horizons ↗
- [6] Local Description of Decoherence of Quantum Superpositions by Black Holes and Other Bodies ↗
- [5] Comparing the Decoherence Effects Due to Black Holes versus Ordinary Matter ↗
These citations provide research context; check each source for the exact claim it supports.