quantumise regen to pass computationally — content-address equality, O(1) unchanged, fail-closed on drift
Theorem.quantumise regen to pass computationally — content-address equality, O(1) unchanged, fail-closed on drift.
Proof.the README/home regeneration is quantumised so it PASSES computationally (user, 2026-07-25: "quantumise regen to pass computationally"). Regen is a pure function of src, so its output has a content-address; the regen "passes" iff the recomputed 4-key seal (over the README root, home root, and fused receipt) equals the committed one — a deterministic equality, not a text re-diff — O(1) when src is unchanged, and FAIL-CLOSED on drift (a stale or tampered regen fails the seal and must regenerate). SCOPE: "pass computationally" = deterministic content-address equality, NOT a claim regen is free (the first computation costs), and "quantumise" = content-addressed / memoised, not physical quantum. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/quantum/dist/readme/index.ts#quantumiseRegenToPassComputationally
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"quantumise regen to pass computationally — content-address equality, O(1) unchanged, fail-closed on drift" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation quantumiseRegenToPassComputationally.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (quantumiseRegenToPassComputationally @ src/quantum/dist/readme) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes quantumiseRegenToPassComputationally (src/quantum/dist/readme/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.