La Profilée - The Strong Nuclear Force as a Persistence Bound: The M-Condition and Composite Hierarchy Depth

The Fine-Tuning of the strong nuclear force is standardly framed as a condition for nuclear stability. This paper derives a structurally prior result: the strong force constrains M(θ), the transformation-processing capacity, via the depth of achievable composite hierarchy. The admissible range of the strong force is not merely "nuclei exist" — it is "the full composite ladder from nucleons to atoms to molecules is sustainable." LP adds a non-obvious prediction: the M-Hierarchy Depth Prediction — the composite depth achievable in a universe is a monotone function of proximity to the M-admissible range. Universes near the boundary of M-admissibility achieve shallower composite hierarchies. This is distinct from the standard binary "stable nuclei yes/no."