Paper T13: Gauge Interactions from Spin–Charge Coherence: A Unified Framework in the Holosphere Lattice

This paper develops a unified description of gauge interactions as emergent from internal angular coherence symmetries in the Holosphere lattice. By modeling spin–charge orientation as a triadic resonance structure, we derive natural analogs to SU(2) and U(1) gauge transformations as local rephasing operations constrained by coherence junction geometry. Weak interaction processes, including W and Z boson emission, are interpreted as coherence-switching events with quantized angular strain energy costs, while electromagnetic coupling arises from spin–phase locking under global U(1) coherence invariance. The triplet structure of Holospheres enables a geometric basis for charge quantization, coupling constants, and conserved currents. This framework establishes a pathway for interpreting electroweak unification and lattice-constrained gauge symmetry breaking in terms of discrete phase coherence, without requiring background spacetime fields. It extends the angular quantization formalism of Paper T12 and prepares the foundation for full QCD development in Papers 53–55.