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Published equation contexts

V=0.5V=0.5

Why this formula appears here

That gap is not semantic. At V=0.5 , the Holevo ceiling is about 0.811 bits. The minimum-error binary decision yields about 0.646 bits. A sentence saying “the horizon contains 0.811 bits, therefore Bob can read 0.811 bits” has silently replaced an upper bound with a decoder.

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Published contexts (1)

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V=0.5V=0.5

Equation 14 · Evolutionary Physics

How Fast Can a Horizon Learn Which Path You Took?

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

That gap is not semantic. At V=0.5 , the Holevo ceiling is about 0.811 bits. The minimum-error binary decision yields about 0.646 bits. A sentence saying “the horizon contains 0.811 bits, therefore Bob can read 0.811 bits” has silently replaced an upper bound with a decoder.

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