Where Did the Twist Come From? THUYON · Volume II
Year: 2026
Type: preprint
Abstract: Where Did the Twist Come From? (THUYON · Volume II), version 2, with Supplement S1 (the wall calculation). Volume I (DOI 10.5281/zenodo.24041692) obtained the baryon asymmetry from a net primordial twist whose origin it left open. This volume asks where the twist could come from. Every formula and headline number is listed in the proof ledger of the reproducibility package: each one is derived with a check that can fail, cited to an equation checked against its source, or labelled as an assumption. Abstract. Here we ask whether the transient domain walls of a parity-breaking left–right transition can supply the chiral asymmetry ε = μ5,Y/T instead, and we compute the answer link by link. Inherited rotation is excluded first, by more than 60 orders of magnitude. The chiral charge the plasma presents is then fixed exactly by the electron-Yukawa imbalance. Of four wall mechanisms, three fail: direct reflection of right-handed electrons, Majorana neutrino reflection (which leaves 10³–10⁵ times too much B−L), and bubble walls. The fourth works: Dirac reflection of the top quark from a bidoublet condensate in the wall builds a CP-odd potential that SU(2)_R sphalerons ahead of the wall turn into right-handed lepton number, with B−L conserved exactly. Walls solved from an explicit potential give up to ε_w = 5×10⁻³. That is not enough for the chiral plasma instability on its own. With the chiral magnetic coefficient corrected by a factor of 2 relative to the literature we followed, growth from thermal noise needs ε ≃ (0.7–1.4)×10⁻², and friction-limited walls move too slowly to approach even that. Three-dimensional runs with the plasma flow lower this requirement by less than 15%. A magnetic field already present in the plasma removes the problem. It converts the chirality into helicity before flips erase it once ⟨B²⟩ ≳ 1.2×10⁻⁷ T⁴, a known effect that we apply here to wall-injected chirality. Then walls at friction-limited speeds suffice. In a scan of 1.7×10⁴ parameter points, 19% satisfy the observed baryon asymmetry together with the isocurvature and energy bounds, for left–right scales of about 5×10⁶–6.5×10⁷ GeV (mostly above 10⁷ GeV) and gradual electroweak crossovers. Two conditions remain open: the origin of the catalyst field, and the near absence of net helicity in it, below 4.6×10⁻⁴ of maximal at the median passing point. The mechanism is therefore viable on these conditions but not established. Files: Paper2_THUYON_II_v2.pdf (the paper, 14 pages); Paper2_THUYON_II_v2_Supplement_S1.pdf (the wall calculation, 15 pages); Paper2_THUYON_II_v2_package.zip (every script, stored result, proof ledger and audit record).
Author: Baskar, Kalaikannan
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225465561