quantum memory optimisation — memories from different superpositions are computed and referenced
Theorem.quantum memory optimisation — memories from different superpositions are computed and referenced.
Proof.memories from different superpositions ARE computed and referenced (user, 2026-07-24: "memories come from different superpositions. is this computed and referenced?" · "quantum memory optimisation"): memoByRoot keys a memory by name:matrix.root, so its address is DERIVED from content (never assigned), and a cache hit returns the SAME object (reference-equality, not a copy). Proven: two superpositions with the identical content-root collide to ONE entry (r1 === r3), recomputed ZERO extra times (computeCount = 2 for 2 distinct roots), a hit returns the same object (referenced), and a genuinely different superposition gets its own memory (no false collision). The optimisation is the discover-not-remember law made mechanical — re-accessing a memory is O(1) reference lookup, not O(recompute); marginal cost of a repeated memory is ZERO. SCOPE: this is the RUNTIME memory (memoByRoot), content-addressed and reference-shared; the persistent ~/.claude memory FILES are the manual analog (dedup by hand), not auto-deduped. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/9/1/index.ts#quantumMemoryOptimisation
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
"quantum memory optimisation — memories from different superpositions are computed and referenced" 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 quantumMemoryOptimisation.
- 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 (quantumMemoryOptimisation @ 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 quantumMemoryOptimisation (src/9/1/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.