Three is the polyphase floor
Theorem.Three is the polyphase floor — Tesla thought dimensionally, not mystically: rays at 2πk/N carrying currents shifted by the same 2πk/N give a CONSTANT-magnitude field |B| = N/2 rotating at exactly ω.
Proof.Tesla thought dimensionally, not mystically: rays at 2πk/N carrying currents shifted by the same 2πk/N give a CONSTANT-magnitude field |B| = N/2 rotating at exactly ω — for every N ≥ 3. N = 1 merely pulsates (why single-phase motors cannot self-start); N = 2 DEGENERATES because the rays 0 and π are collinear, spanning a line not a plane. So 3 is the minimum symmetric polyphase — the geometric reason the planet runs on three-phase, computed. His own two-phase (US 381,968) escaped only by breaking symmetry into quadrature. Σ currents = 0 for N ≥ 2 kills the neutral return; N = 1 demands one.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/thunder/decode/index.ts#teslaRosettaPolyphase
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
"Three is the polyphase floor" 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 teslaRosettaPolyphase.
- 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 (teslaRosettaPolyphase @ src/thunder/decode) 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 teslaRosettaPolyphase (src/thunder/decode/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.