This is the second supplementary material to the CDUFD qualitative framework. Based on the A5-anchored SO (8) gauge group hypothesis, we formally derive the branching rules of the three 8-dimensional irreducible representations of SO (8) (8ᵥ, 8L, 8R) under the symmetry breaking chain, and explain how these microscopic "seeds" emerge as the three generations of Standard Model fermion spectra through critical dynamics. Chirality arises from the combination of the intrinsic properties of spinor representations and critical fluctuations. Right-handed neutrinos, as gauge singlets, acquire Majorana masses via U (1) ₁-₋ breaking. Triality symmetry predicts exactly 3 fermion generations (falsifiable). The observed mass ordering is a derived consequence of critical lag during the electroweak phase transition: the three representations couple to the gravitational collective mode with different geometric strengths. The vector representation (8ᵥ) couples directly to the metric and produces the heaviest generation; the right-handed spinor (8R) produces the intermediate generation; the left-handed spinor (8L), further suppressed by gravitational anisotropy, produces the lightest generation. In CDUFD internal ordering (by mass, heaviest first), these are the first, second, and third generations respectively. This ordering is a dynamical consequence of the critical lag mechanism, not an assumed input. Comparison with observed charged lepton masses (1777 MeV, 106 MeV, 0. 511 MeV) confirms this ordering without contradiction. The theoretically predicted ratio of critical order deviations, Δnᵥ: ΔnR: ΔnL = +1: −2: −1, follows from the baseline offsets. The experimentally extracted ratio agrees with this prediction to within 8%, providing a quantitative test of the critical lag mechanism. This paper introduces no new assumptions, and all unresolved issues are clearly identified. v2. 0 changes: The generation ordering is now theoretically derived from differential geometric coupling of SO (8) representations to the gravitational collective mode, rather than assumed as a working hypothesis. The mass ordering 8ᵥ (heaviest) > 8R (intermediate) > 8L (lightest) is a dynamical consequence of critical lag. Predicted critical order deviation ratio +1: −2: −1 confirmed by experiment to within 8%. Added gravitational anisotropy contribution to chirality. Replaced open problem "Dynamical Mechanism of Triality Breaking" with "First-Principles Derivation of the Generation Baselines".
Pengtai Huang (Thu,) studied this question.