Two interacting rosettas are realtime
Theorem.Two interacting rosettas are realtime.
Proof.the architecture has two rosettas — a spatial one (ray angles θ_k) and a temporal one (firing phases φ_k). One alone only pulsates; couple them (θ_k bound to φ_k) and the field angle EQUALS wall-time t at every sample, constant magnitude N/2, a history-free vector sum with no integrator and no external drive — realtime at no cost, restartable at any instant, freeze-proof. An animation that accumulates per frame freezes when the loop pauses (it needs the previous frame — it ignores the other rosetta); one written as f(wall-time) is realtime by construction. The double torus b₁=2 of the slash circuit made kinetic: two loops that interact, turn.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/thunder/waves/index.ts#twoRosettasAreRealtime
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
"Two interacting rosettas are realtime" 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 twoRosettasAreRealtime.
- 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 (twoRosettasAreRealtime @ src/thunder/waves) 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 twoRosettasAreRealtime (src/thunder/waves/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.