Version change: CDUFD Phenomenological Series II → ECF Gauge Field Emergence III (v3. 0) This version represents a major revision of the fermion mass paper, completing the transition from the CDUFD framework to the Emergence-Convergence Framework (ECF). Key changes include: Framework rename and series repositioning: Migrated from the CDUFD nomenclature to the ECF nomenclature. The paper is now positioned as the third in a three-paper series on gauge structure emergence in the ECF, with explicit connections to Papers I (gauge group selection) and II (fermion generations from SO (8) triality). The title has been simplified to "Fermion Masses as Fossil Records of Critical Dynamics. " Introduced B/C/D argumentative tiers: Added a comprehensive tier table assigning every key claim—critical scaling law, values of δ and ν, top quark anchoring, SO (8) weight formula, absolute baselines n₀ (g), integer ratio prediction, neutrino mass ratio, and δν = 0. 18—to B-tier (rigorous consequences), C-tier (construct choices or observational calibration), or D-tier (conjectural extensions). The critical scaling law itself is B-tier; the top quark anchoring and generation baselines are C-tier (empirically calibrated) ; δν = 0. 18 is D-tier (phenomenological parameter awaiting theoretical derivation). Refined generation deviation interpretation: The deviations Δn are now explicitly interpreted as overall baseline shifts of the three fermion generations—generation-wide relative relaxation offsets caused by the critical lag mechanism—rather than individual particle-level deviations. The integer ratio +1: −2: −1 corresponds to the relative proportions of the effective freeze-out degrees of the three generations. Enhanced critical lag derivation section: Significantly expanded Section 4 with detailed Lagrangian-level derivation of differential geometric coupling, explicit scaling analysis of relaxation rates from linear response theory, and a self-consistent freeze-out equation. The vector representation couples directly to the metric (ggeo ~ 1) ; spinor representations couple through the spin connection (ggeo ~ 1/ξ) ; gravitational anisotropy provides the left-right bias via an ε parameter. Upgraded sensitivity analysis: The parameter sensitivity table now includes a combined variation scenario, demonstrating that the integer ratio remains robust against simultaneous variations in δ and ν. Improved methodological precision on neutrino predictions: The predicted neutrino mass ratio m_νe/m_νμ = 1. 15 ± 0. 04 is now clearly positioned as a re-expression of current oscillation data within the ECF scaling framework. The effective critical order differences are empirically fitted from NuFIT 6. 0 data rather than derived from first principles. This honest qualification replaces the stronger "prediction" language of the previous version. Expanded neutrinoless double beta decay discussion: Clarified that the predicted absolute mass scale (~3 × 10⁻³ eV) lies significantly below current experimental sensitivity, with enhanced sensitivity in next-generation experiments such as LEGEND-1000, nEXO, and CUPID offering prospects for indirect testing. Updated references: All CDUFD series references replaced with corresponding ECF series DOIs. Added explicit references to the ECF core series (ECF I–VI) and the seesaw mechanism foundational papers (Minkowski, Yanagida, Gell-Mann et al. ).
Pengtai Huang (Wed,) studied this question.