λEnter Calculus CompanionRegistered manuscripts, kept distinct

Manuscript Oai265-A@2 · Oai265-A.tex · section · c0a34a45

The single active target

Stage 6: one active successor and exact completion ledger › The single active target · lines 1908–1945

Oai265-A@2#target:constant

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Keeping exactly (eq:H)–(eq:gap) and the stated boundary conventions, derive explicit functions of that supply the terminal entropy certificate, for example

in Theorem thm:terminal, with all earlier-stage constants and scale thresholds exposed.

A completion must:

  1. prove each quantitative implication from the frozen hypotheses without introducing a subsystem gap;

  2. preserve uniformity over all finite induced domains and cuts;

  3. price exceptional-site collars and the complete ordered information charges;

  4. identify whether the proposed scaling (eq:conjecture) is proved, replaced, or refuted.

The target remains unresolved here.

This target is closest to the external statement. It uses Theorem thm:terminal as a locally proved accounting interface, not a Cheung theorem as a premise of an external proof.

For this target, the standing refusal remains: 265-01 is not verified here; 265-02 is an existence record only; no Cheung comparison supplies its missing analytic estimates; no standing Enter-series problem or Page curve is solved.

Displayed formulas in this passage

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