Emergent SU(2)×U(1) Geometry and Electroweak Symmetry Breaking From Chronon Holonomy to Gauge Fields, Vector Masses, and Chiral Structure

We extend the chronon framework to the electroweak sector by showing that a compact non-Abelian SU(2)×U(1) connection emerges as a composite holonomy of the chronon field Φµ and its gradients, without introducing new microscopic fields. The leafwise geometry of ∇Φ defines a local U(2) frame whose traceless Maurer–Cartan form yields the SU(2) connection on the emergent metric gµνΦ. Coarse-graining stabilized chronon fluctuations induces the Yang–Mills action, while internal phase dynamics generate vector-boson masses without a fundamental Higgs field—either through a Stückelberg-like realization or a composite amplitude mode of Φ. A residual U(1) combination remains unbroken, ensuring an exactly massless photon. Gauge consistency is confirmed through Ward and Slavnov–Taylor identities and tree-level unitarity of longitudinal vector scattering. Solitonic matter from Paper I couples minimally to the emergent connection, providing a geometric origin of electroweak interactions and setting the stage for the SU(3) extension developed in Paper III.