Modal Triplet Theory: Parameters, Closure, and Structural Falsifiability

Modal Triplet Theory (MTT) derives quantum mechanics, quantum field theory, spacetime geometry, irreversibility, and cosmology from a projection-based architecture with finite admissibility. This paper provides a unified accounting of all parameters and degrees of freedom appearing in MTT and establishes a falsifiability framework appropriate to projection-based physics. We classify quantities into non-tunable structural control data, bounded geometric/coherence quantities that collapse into a single invariant margin (coherence capacity), a small set of continuous superset latent variables, and a discrete gauge–flavor bottleneck. We show that apparent parameter freedom is largely bookkeeping and that cross-sector closure overconstrains the remaining variables. Falsifiability is organized by templates—exact no-go results, inequality violations, superset closure failures, and near-term physical discriminators—rather than parameter exclusion. The paper does not extend MTT dynamics; it makes explicit where freedom remains, why proxy tuning is forbidden, and precisely how the existing formulation would fail. Few parameters thus imply many independent falsifiers, yielding strong predictive discipline despite minimal tunability.