QST E8 to Standard Model

The Quantum –Spin–Torsion (QST) E₈ framework represents the latest formulation of the unified field hypothesis proposed within the Quantum Spin Torsion (QST) theory family. In QST E₈, the Standard Model gauge group SU(3)_C \times SU(2)_L \times U(1)_Y is embedded as a low-energy shadow projection of a higher-symmetry E₈ principal bundle, whose curvature and connection fields are defined over a discrete–scale–invariant (DSI) fractal manifold. A single fundamental field Φ undergoes spontaneous self-organization, generating four coherent subfields — ψ_{CQF}, ψ_{SE}, D(x), V_{eth} — which interact through three tunable “spin-torsion couplers” (κ, gₛ, σ). The resulting effective theory reproduces the Standard Model particle spectrum, flavor hierarchies, and gauge couplings as emergent geometrical effects of DSI quantization. A defining feature of QST E₈ is its zero-calibration principle: all Yukawa hierarchies and CKM/PMNS mixings originate from discrete integer charges on the E₈ lattice and a single geometrical scaling constant \varepsilon = \phi^{-3} = 0.2360679… , where φ is the golden ratio. This report documents the computational verification of that claim by constructing explicit Yukawa textures from integer charge assignments, performing a large-scale grid search, and subsequently optimizing order-one prefactors. The optimized configurations reproduce the full quark mass spectrum and CKM matrix within experimental precision — without introducing any continuous fine-tuning parameters.