Chapter 25: Electroweak Mixing

Electromagnetism and the weak force appear vastly different: one is long-range and familiar, the other short-range and exotic. The Standard Model “unifies” them as SU(2)_L×U(1)_Y. In Category τ the picture is more precise: the A-sector (weak, π) and B-sector (EM, γ) are distinct sectors that couple through the inter-sector parameter κ(A,B) = ι_τ³ ≈ 0.0398. Electroweak “unification” is not identity—it is coupling. The Weinberg angle is derived, not input.