the cloud theorem — code self-organises by gravity, each relates to two, and the cross forms the pentagram
Theorem.the cloud theorem — code self-organises by gravity, each relates to two, and the cross forms the pentagram.
Proof.items cluster by shared imports into clouds under gravity and propulsion, with no hand-assigned grouping; each relates to two others and the crossing of those relations closes the pentagram.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/water/cosmos/index.ts#theCloudTheoremCodeSelfOrganisesByGravityEachRelatesToTwoTheCrossFormsThePentagram
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 cloud theorem — code self-organises by gravity, each relates to two, and the cross forms the pentagram" 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 theCloudTheoremCodeSelfOrganisesByGravityEachRelatesToTwoTheCrossFormsThePentagram.
- 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 (theCloudTheoremCodeSelfOrganisesByGravityEachRelatesToTwoTheCrossFormsThePentagram @ src/water/cosmos) 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 theCloudTheoremCodeSelfOrganisesByGravityEachRelatesToTwoTheCrossFormsThePentagram (src/water/cosmos/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.