Modal Triplet Theory and the M-Theory Low-Energy Limit: A Conditional Eleven-Dimensional Encoding Contract

This paper asks when Modal Triplet Theory (MTT) realizes an eleven-dimensional low-energy sector of M-theory. Eleven-dimensional supergravity is not specified by a metric and a three-form alone: the full record includes an oriented Lorentzian spin manifold, vielbein, gravitino, shifted differential C-field, action and normalization, local supersymmetry, source and boundary data, and a declared quantum and derivative-order scope. M2- and M5-branes additionally require embeddings, normal bundles, worldvolume fields, kappa symmetry, self-duality data, and anomaly inflow. We package these ingredients as a typed eleven-dimensional record and define a partial map from an upper MTT state to that record. The main theorem is conditional: if one selected MTT state emits every required row, the lower record satisfies the standard consistency conditions at the declared order, and MTT evaluation factors through the eleven-dimensional effective theory, then MTT realizes that sector on the stated domain. We also prove that the axioms of a bounded projector or pullback alone do not select a unique spacetime, C-field, brane content, or action. The Cremmer–Julia–Scherk action, shifted flux law, supermembrane and five-brane systems, anomaly inflow, and type-IIA circle reduction are therefore used as standard lower targets, not re-derived from projection. Current q=79 arithmetic and heterotic Cech/Hermitian–Yang–Mills results are compatible contextual data, but they do not yet emit an eleven-dimensional spin geometry, M-theory circle, differential C-field, gravitino, brane sources, or connection-preserving action map. A nonperturbative definition of M-theory and four-dimensional phenomenological predictions remain outside the established result.