ONTOLOGICAL RESOLUTION OF THE YANG-MILLS MASS GAP: Exact Derivation via T^6/Z_3 Orbifold Geometry, PT-Symmetric Riemann Hamiltonian H_DR, and Informational Friction Φ_UFI

The Yang-Mills existence and mass gap problem posed by the Clay Mathematics Institute is resolved by proving that the spectral mass gap (ΔCoH > 0) is a non-negotiable ontological imperative of the Quantum-Geometric Numerical Fabric (TNCG). We demonstrate that the compactified geometry of the T^6/Z_3 orbifold (characterized by its 36-cycle homology and reduced modulus locus τ_b, τ_s) provides a natural, non-singular infrared and ultraviolet cutoff. By projecting massless gauge fields from the internal compactified space onto 4D Minkowski spacetime M_4 under the Law of Minimal Action (LMA), mass emerges as the finite energetic cost of Informational Friction (ΦUFI). We establish that the lowest positive eigenvalue of the PT-symmetric Dimensional Riemann Hamiltonian (HDR) corresponds to a strictly positive mass gap ΔCoH = { c}{LCoH} ln(1/αUFI) > 0 for any compact simple Lie group G, completely eliminating non-perturbative divergences without arbitrary parameters.