Superset Determinations in Modal Triplet Theory

We present the Tier-3 results of Modal Triplet Theory (MTT): a geometry-free, calibratable determination of latent high-scale parameters using MTT as a superset of gauge and gravitational effective field theory. At a chosen matching scale, the Standard Model gauge couplings are expressed in terms of a single overall scale and three dimensionless normalization weights. We show that the ratios of these weights are uniquely and algebraically extractable from experimental data once a renormalization-group scheme is specified, independent of internal geometry. The overall scale is fixed by any single coupling, and two independent combinations of internal volume and fundamental couplings are fixed by gauge and gravitational overlaps. A single additional non-geometric closure condition then suffices to determine all remaining absolute quantities. We provide executed renormalization-group running to identify matching scales, a minimum-norm threshold diagnostic, a cross-prediction consistency check for the strong coupling, and explicit uncertainty accounting. These results require no internal metric solution and provide the calibratable bridge between topology/inequality tiers and explicit geometric realization.