Gauge Symmetries U(1), SU(2), SU(3) as Topological Eversion Symmetries of DAS: Noether's Theorem from the Invariant G·Λ = const

Work XXXVIII of the DAS×GSV series. Central result: all three Standard Model gauge groups —U(1), SU(2), SU(3) — are topological symmetry groups ofDAS sphere eversions. All SM conservation laws follow fromthe single invariant G·Λ = const via Noether's theorem. U(1) ← S¹ eversion (1 generator → 1 photon → Q_em = const)SU(2) ← S³ ≅ SU(2), intermediate state of S² eversion (3 generators → W±Z⁰ → isospin = const)SU(3) ← CP², complex extension of S² (8 = 3²−1 generators → 8 gluons → color = const) All 12 SM force carriers (1+3+8) from three eversion topologies.sin²θ_W(M_GUT) = 3/8 from eversion mode count.Open question XXXVIII.1: derive sin²θ_W(M_Z) = 0.231 from DAS. First derivation of SM gauge groups from sphere hierarchytopology without postulating the groups.