Golden Projection Model: E8 Root Projection Census (v1.0)

This dataset accompanies the forthcoming manuscript “The Golden Projection Model: A Parameter-Free Derivation of the Standard Model and Fundamental Constants from E₈ Geometry”, submitted to Symmetry (MDPI, 2025). It contains the full, stabilized 240-root projection dataset derived from the Golden Projection Model (GPM), a first-principles framework that explains the Standard Model’s particle spectrum, gauge symmetries, fermion mass hierarchies, mixing matrices, and fundamental constants from a single geometric postulate. The dataset provides: The quantized shell structure of the projected E₈ roots Particle content assignments for each shell (fermions, gauge bosons, Higgs candidates, and dark-sector states) Hypercharge values, SU(3)/SU(2) weights, and representation factors A complete mapping between the 240 projected root vectors and their roles in the emergent particle spectrum This dataset is critical for reproducing the paper’s results, enabling independent verification of the model’s derivations, and supporting future research on gauge unification, dark matter phenomenology, and quantum geometry.