THUYON: Turbulent Helicity, U(1)_Y Origin of Nucleons — From Helical Plasma Flow to the Baryon Asymmetry, with a Polarized Gravitational-Wave Signature

A quantitative, falsifiable baryogenesis scenario (the THUYON mechanism: Turbulent Helicity, U(1)_Y Origin of Nucleons) in which the matter–antimatter asymmetry of the universe descends from a single primordial pseudoscalar: the net kinetic helicity of plasma turbulence at T ~ 10^6–10^8 GeV. A quantitative no-go is first established for the gravitational-anomaly route. The kinetic helicity is resistively transferred to hypermagnetic helicity (measured transfer constant c ≈ 1–10; the hand-off flips the handedness, consistently across kinematic and nonlinear MHD simulations and the published dynamo literature) and converted to the observed baryon-to-photon ratio η = 6.1×10⁻¹⁰ through an anchored reduction of the Kamada–Long transport equations across the electroweak crossover, reproducing the published benchmarks and yielding a present-day field B₀ ≈ 2×10⁻¹⁷–2.6×10⁻¹⁶ G (maximally helical, right-handed), with baryon overproduction above this window. Predicted signatures: a left-circularly polarized stochastic gravitational-wave background peaking at 1–1000 Hz obeying the fixed amplitude–polarization relation Δχ·(Ω_GW h²)^(1/4) ≈ const, already constrained in its loudest corner by the published LIGO–Virgo O3 limits. The deposit includes the full reproducibility package: all thirteen analysis scripts and derivation notes.