Where Did the First Magnetism Come From? THUYON · Volume III

Where Did the First Magnetism Come From? (THUYON · Volume III), version 1. Volume II (DOI 10.5281/zenodo.24042864) found that a magnetic helper field is needed for the walls to make the twist, and left its origin open. This volume asks whether the same left–right transition that makes the walls also makes that field. Every formula is listed in the proof file of the reproducibility package: each one is derived with a test that can fail, cited to an equation checked against its source, or labelled as an assumption. Every number in the paper is filled in by a script from the result files. Abstract. THUYON II found that the walls of a left–right symmetric transition can supply the chiral asymmetry for baryogenesis from hypermagnetic helicity, provided a nearly non-helical magnetic field of about 10⁻¹⁰ G (comoving) is already present at 10⁵ GeV. Here we ask whether the same transition makes that field. We compute the one-loop finite-temperature potential of the minimal left–right model along the right-handed triplet, with resummed zero modes, and solve for bubble nucleation. The transition is first order with φ_c/T_c > 1 when the right-handed Higgs is lighter than about 0.75 M_WR, and mostly so up to 0.9 M_WR. With Δ_L as light as the Higgs it releases little energy, α = 1.3×10⁻³ – 3.0×10⁻², in small bubbles, β/H = 439–11038. At THUYON II's own couplings it is too weak to trust. THUYON II's walls, re-solved at the lighter Higgs, still deposit up to ε_w = 4.6×10⁻³ if Δ_L is light too; an exact wall solution shows why. If a share f_dyn of the bubble-driven flow energy becomes field, the field left at 10⁵ GeV lies in THUYON II's working range for any f_dyn from 10⁻⁴ to 1, and 12%–18% of THUYON II's settings then give the observed baryon asymmetry and pass the isocurvature, energy and helicity bounds. The net helicity is bounded by the chirality bubble walls can leave. The gravitational waves of the transition are far below current limits. Every formula is derived with a test or cited to a checked equation; f_dyn, the decay law and the wall speed are assumptions and are scanned. The mechanism is viable on a condition on the scalar spectrum, not established. Files: Paper3_THUYON_III_v1.pdf (the paper, 12 pages); Paper3_THUYON_III_v1_package.zip (all scripts, result files, the proof file and the literature checks; it includes the THUYON II scripts it builds on).