The Standard Model of particle physics is conventionally presented as a parameterfit: 19 free constants inserted to match experiment, with no first-principles account of why SU (3) × SU (2) × U (1), why three generations, or why the mass hierarchy spans 12 orders of magnitude. We show that all three questions receive structural answers in the Imscribing Grammar (IG) – a symmetric monoidal category enriched over the Belnap–Dunn bilattice FOUR = {N, T, F, B}, carrying a special symmetric dagger-Frobenius structure (= id). The gauge groups are structurally identified with the sequence of frustrated antichains in the bilattice: antichain width 6 (SU (3) ), 2 (SU (2) ), 0 (U (1) ) ; a Width Exclusion Conjecture (that only these widths are Frobenius-closed in FOUR) is stated but not yet proved. Three fermion generations follow conditionally from the Z₄ axiom of the Winding primitive: |F₄ (Ω) | − 1 = 3 non-trivial windings, Ω^4 = Ω^0. The scalar sector’s N degenerate vacua constitute a flat antichain – every node at evidence ratio R = t/f = 1 – which is an unstable fixed point under the Frobenius dynamics: any O₂-or-higher closed system must tilt, R = 1 + ε. The structural ordering of the mass spectrum is identified with the ε-spectrum; absolute mass values require additional coupling inputs. The tilted scalar sector produces domain walls at vacuum boundaries. We compute the resulting stochastic gravitational wave background (ΩGW ∝ f^3, peak at nanohertz frequencies) and compare with current NANOGrav/EPTA/PPTA/CPTA observations. Four falsifiable predictions distinct from the Standard Model alone are stated. Three open derivation problems are identified
Lando Mills (Tue,) studied this question.