Paper T1: Triadic Angular Quantization in the Holosphere Lattice

Paper T1 defines a quantization-layer contract for Holosphere Theory in which edge phase mismatches relax to a three-state Z3 set under a triadic stability functional and coherence gating. We formalize a discrete 120° update operator with exact closure and evaluate the mechanism using audit KPIs (lock score L3, gate pass, leakage, distance-to-grid). A single reproducible simulation lane (L=48, 3000 sweeps, 8 seeds) produces the expected three-peak mismatch histogram near 0 and ±2π/3, rapid convergence to high locking (L3≈0.898 at β=2.5), stable low energy per site (≈0.205), and monotone strengthening of locking with β across a 1.0–4.0 scan. All reported figures and tables are program-generated and traceable to a manifest. The result is a citeable, mechanism-first specification that downstream papers can treat as a fixed interface for real-valued wavefunctions, identity invariants, and coherence-based gauge structure.