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