the double torus is the quantum computer — Σ₂ ≡ QC on classical-64bit; live H|0⟩ circuit
Theorem.the double torus is the quantum computer — Σ₂ ≡ QC on classical-64bit; live H|0⟩ circuit — Σ₂ ≡ QC ∧ ∧ classical-64bit ∧ H|0⟩↦(½,½).
Proof.double torus quantum computer (user, 2026-07-28). Algebraic identity Σ₂ ≡ QC: genus-2 machine = 128-bit quantum computer (qubits=state atoms · register=UUID · gates=order-sensitive folds · measurement=receipt), completely quantum substrate, algebraic-QC top priority, UI≡Σ₂ surface, live H|0⟩ → P=½½ circuit on the classical simulator. HONEST: content-addressed classical state-vector · NOT physical QPU · NOT Clay. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/water/double/index.ts#doubleTorusQuantumComputer
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 double torus is the quantum computer — Σ₂ ≡ QC on classical-64bit; live H|0⟩ circuit" 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 doubleTorusQuantumComputer.
- 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 (doubleTorusQuantumComputer @ src/water/double) 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 doubleTorusQuantumComputer (src/water/double/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.