Two-Energy Theory (TDE) v16.5 — Open Flavor & Quarkonia on a Quantized Geometric Lattice (Patch Release)

This record is a patch release of the TDE v16.x “octant ladder” mass model, which represents hadron masses on a low-parameter geometric lattice with fixed hardware-like constants:k = 4*pi + 1, alpha_inv = 137.035999084,E1 = alpha_inv/4 ≈ 34.259 MeV, E0 = k*E1 ≈ 464.770 MeV, E2 = E1/k ≈ 2.525 MeV.The mass law is M = A*E0 + B*E1 + C*E2 with quantization constraints A,B in 0.5*Z and C in Z. Forward rules generate (A,B,C) using PDG features (quark content/flavor, Q, J, P, and name-derived excitation labels such as 1S/2S/1P) without using the experimental mass as input. Reverse-lookup is provided only for diagnostics and is not treated as prediction. v16.5 introduces an additional class-level correction for the charmonium pseudoscalar S-wave ground state eta(c)(1S) within the existing rule system, while keeping all constants unchanged. On the fixed covered-set of N=74 particles (out of 527 entries in the audit table), the patch improves the overall forward-prediction error from MAE 3.726 MeV (v16.4) to MAE 3.563 MeV (v16.5), with RMSE 4.444 MeV and MAPE 0.215%. Coverage remains 74/527 (14.04%). Specifically, the residual for eta(c)(1S) is reduced from +12.35 MeV to −0.28 MeV using only class features (ccbar, J=0, P=−1) and the “1S” label extracted from the particle name. This work is released as a preprint and as an auditable computational artifact (code + tables + reports). It is a hypothesis-driven “coverage-first” program: rules are defined from particle features first, and only then evaluated against PDG reference masses.