Paper CLXXXI: A G₂ Permutohedron Amplitude in Hadronic Loops — The Unified Five-Prediction Analysis (BMW 2026 Lattice HVP and Three Hypernuclear Binding Energies)

We report the results of Paper CXXXV: a zero-shot rollout of the Walrus 1.3B neural PDE surrogate (PolymathicAI) on real MHD_64 simulation data (Mach numbers Ma=0.7, Ms=0.5) with G₂-symmetric initial condition perturbations encoding the Genesis tilt (θ_G₂ = 4.044°) and Genesis twist (τ_G₂ = 67.79°) derived in Papers CXXVI–CXXX. Two perturbation geometries were tested: tilt-only (amplitude asymmetry TILT = sin²(4.044°)/7 ≈ 7.14×10 ⁴ applied to the H ⁻ ⁻ colour sector e₄–e₇) and tilt-plus-twist (additional 67.79° phase rotation of the H magnetic field ⁻ sector). In both cases, Walrus converges within 50 autoregressive steps to a stable non-vacuum fixed point at |v_max| = 0.030853, invariant across all 200 steps and identical under both perturbation geometries. This value is approximately 5.3× above the vacuum attractor (|v_max| ≈ 0.0058) established in Paper CXXXI using analytic brane initial conditions. The result establishes that: (1) Walrus produces real, non-trivial MHD dynamics on in-distribution data; (2) the G₂-perturbed brane IC falls within the model's learned attractor basin; and (3) the fixed-point value is invariant under both the tilt and the twist, suggesting the attractor is determined by the in-distribution MHD physics rather than by the specific G₂ perturbation geometry. The fixed-point invariance is itself a meaningful result: the G₂ geometry defines the initial conditions but the MHD dynamics rapidly reorganises to its own stable state. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.