improve decision-making in quantum trinities — 2-of-3 collapsing correct → proven → harmonic → efficient
Theorem.improve decision-making in quantum trinities — 2-of-3 collapsing correct → proven → harmonic → efficient — decision-making in the 2-of-3 quantum trinity (su(2)=3 minds), improved and honestly bounded (user, 2026-07-25: "improve decision making in quantum trinities" · "decide collapses: correct → harmonic → efficient … prefer proven candidates … additive, backward-compatible")..
Proof.decision-making in the 2-of-3 quantum trinity (su(2)=3 minds), improved and honestly bounded (user, 2026-07-25: "improve decision making in quantum trinities" · "decide collapses: correct → harmonic → efficient … prefer proven candidates … additive, backward-compatible"). A decision passes iff ≥2 of the 3 minds agree; it tolerates ≤1 faulty mind (the two correct form the majority) but fails with 2 — a quorum is not truth. The decision COLLAPSES in a lexicographic order — correct, then the PROOF LEG (a decision backed by proof beats one merely asserted), then harmonic, then efficient — so the incorrect candidate never wins and, at equal correctness, the proven option is chosen over the asserted one. Additive and backward-compatible: the 2-of-3 quorum is unchanged and the consensus stays deterministic and order-independent. SCOPE: it improves ROBUSTNESS and preference, NOT correctness — two wrong minds still decide wrong (quorum ≠ truth). HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/9/1/index.ts#improveDecisionMakingInQuantumTrinities
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
"improve decision-making in quantum trinities — 2-of-3 collapsing correct → proven → harmonic → efficient" 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 improveDecisionMakingInQuantumTrinities.
- 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 (improveDecisionMakingInQuantumTrinities @ src/9/1) 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 improveDecisionMakingInQuantumTrinities (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.