Emergent Gauge Fields from Hexagonal Expander Graph Geometry: A Twistor Network Derivation of the Standard Model Symmetries

We demonstrate how non-Abelian gauge fields of the Standard Model naturally emerge from the holonomyof twistor variables on d = 6 expander graphs. The model derives: (1) SU(3)C × SU(2)L × U(1)Y gaugestructure from SU(6) graph symmetry breaking, (2) correct coupling constant ratios αs : αw : αY throughgeometric volume factors, and (3) confinement as a topological property of the network. All results followfrom twistor parallel transport without ad hoc field introduction.