Equation 27 · How Fast Can a Horizon Learn Which Path You Took?
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol V
V is part of the quantity the equation computes from the expression on the right.
Symbol kappa
surface gravity with inverse-time units in the chosen normalization.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →Denominator: 2
The complete quantity below the fraction bar; it must be nonzero for this division.
How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Gralla and Wei calculate the large-holding-time overlap for nonextremal bifurcate Killing horizons in electromagnetic and Klein–Gordon analogues. In their natural-unit convention, . so the adapter into the exponential ledger is
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 give research context. Read each source to check which claims it supports.
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