Equation 22 · How Fast Can a Horizon Learn Which Path You Took?
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Symbol Gamma
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Symbol T_rm dec
m dec is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
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Both are deterministic transformations of the assumed overlap law. Neither is a new field-theory result. Numerically inverting the two binary-entropy equations gives: . The table is an analytic computation performed for this proposal, not a simulation or an observation. It says that a common phrase such as “one decoherence time” is underspecified. At the 0.9-bit threshold, a Holevo ceiling appears at almost exactly one inverse rate, while the specified decision task needs about 1.49 inverse rates. At the 0.999-bit threshold the two clocks read about 3.29 and 4.13. The disagreement is finite and predictable.
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