Gravitationally Induced Collapse as an Effective Limit of Modal Triplet Theory

We show that gravitationally induced collapse of the Penrose and Diósi–Penrose type arises as a controlled effective limit of coherence breakdown in Modal Triplet Theory (MTT). Starting from deterministic modal dynamics and projection onto the coherent sector, we derive a reduced nonunitary evolution valid on bounded-geometry time slabs. In a curvature-dominated regime, the leading contribution reduces to the familiar Newtonian double-commutator kernel, yielding the Penrose collapse timescale τ∼ℏ/EG /EGτ∼ℏ/EG. We then prove that this regime is nongeneric: outside it, the reduced dynamics necessarily exhibits additional structure, including finite-strength threshold behavior, protocol dependence, and Zeno/anti-Zeno crossovers. We establish no-go results showing that gravity-only collapse models depending solely on mass density cannot reproduce this behavior without introducing state-dependent stabilization mechanisms equivalent to projection and basin structure. Finally, we show that the parameters governing collapse dynamics are tied to the same spectral and stability bottlenecks that control gravitational dynamics and effective field theory in MTT. These results identify Penrose-type collapse as a valid shadow law in a restricted universality class rather than a fundamental principle.