the movie wires theorems by natural entanglements, not by index — the circle’s coordinates become the transpose-symmetric 42-cell area
Theorem.the movie wires theorems by natural entanglements, not by index — the circle’s coordinates become the transpose-symmetric 42-cell area — θ(atom) = sector(archetype)/7 · τ + (spoke(pairClass)+½)/6 · τ/7 — 42 = 7×6 = 6×7 spokes; reflection = transpose (r,c) ⇄ (c,r), an involution; same cell ⇒ same θ; index-adjacency ∩ cell-sharing ≈ 4%.
Proof.the diagnosis computed: under the index law θ_k = 2πk/N only ~4% of adjacent pairs share a lattice cell — the circle was linear order in disguise, seating unrelated theorems together and scattering families; entangledWiringOf replaces the index with the theorem’s own cell — archetype = sector (7), the rung’s divisor-pair class = spoke within it (6) — so all theorems ride 42 = 7×6 = 6×7 spokes, every co-moving family co-located on its own spoke; the reflection is the transpose (r,c) ⇄ (c,r) and life/death arms counter-rotate, so the circle folds back onto itself — no unpaired 84th spoke to glitch; painters consume the position law, the movie attests it.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/wind/routes/corpus/index.ts#theMovieWiresTheoremsByNaturalEntanglementsNotByIndex
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
"the movie wires theorems by natural entanglements, not by index — the circle’s coordinates become the transpose-symmetric 42-cell area" 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 theMovieWiresTheoremsByNaturalEntanglementsNotByIndex.
- 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 (theMovieWiresTheoremsByNaturalEntanglementsNotByIndex @ src/wind/routes/corpus) 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 theMovieWiresTheoremsByNaturalEntanglementsNotByIndex (src/wind/routes/corpus/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.