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

Plan-completion ledger

Stage 6: one active successor and exact completion ledger › Plan-completion ledger · lines 1987–2037

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StageCompleted deliverableExact ending
StageCompleted deliverableExact ending
0Frozen graph, interaction multiplicity, ground-state/gap package, logarithms, boundary conversions, and typed record.Definitions and local boundary lemmas constructed. External area law not assumed.
1Five-stage interface audit; exact spectral and replica identities; local proof of entropy cancellation.Audit completed on available material. Full source proof not independently verified.
2Explicit interaction count, scale invariance, benchmark lower bound, and terminal constant formula.Conditional pricing theorem proved. Universal quantitative inputs unresolved; scaling proposal explicitly unproved.
3PEPS cut and continuity estimates, Schmidt-tail bound, and energy-to-vector tolerance.Representability/production/contraction split established. No efficient PEPS algorithm claimed.
4Degeneracy, restricted-gap, strict-equality, Rényi, and mutual-information tests.Named counterexamples and elementary conditional consequences proved. Unmatched catalogue comparisons not transferred.
5Complete-channel recovery criterion, sharp constant-channel error, selected-spectrum counterexamples, stationary and variable histories, calibration obstruction.Separation theorem proved. No gravitational or radiation-history identification supplied.
6One active quantitative target and exact deferred-candidate contracts.Successor named, not solved. No simultaneous unproved theorem package is released.