Topology does not forbid counterdiffusion
Theorem.Topology does not forbid counterdiffusion — the circulation IS a double torus (pulmonary + systemic, b₁ = 2).
Proof.the circulation IS a double torus (pulmonary + systemic, b₁ = 2) — and isobaric counterdiffusion still computes on it: an N₂→He switch at constant 30 m drives tissue tension 0.298 bar ABOVE ambient with no pressure change, and ICD is documented in the very bodies carrying that topology (Lambertsen & Idicula 1975; Doolette & Mitchell 2003). What the torus proves instead is the coupling that the parallel-independent-compartment axiom denies — the false axiom whose fine-tuning was paid for in the DCS record.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/6/4/index.ts#counterdiffusionOnTheDoubleTorus
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
"Topology does not forbid counterdiffusion" 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 counterdiffusionOnTheDoubleTorus.
- 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 (counterdiffusionOnTheDoubleTorus @ src/6/4) 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 counterdiffusionOnTheDoubleTorus (src/6/4/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.