Theoretical Convergence Statement FEDI, Twisted Graph Laplacians, and Beyond Containment 4.0 (GG2.2) A Geometric Compatibility Framework (GG 2.2) rev. 1.2

Abstract We present a precise theoretical convergence statement establishing that Beyond Containment 4.0 constitutes an operational geometric framework fully compatible with the continuum-limit dynamics of FEDI (Fion-Enhanced Distributed Intelligence, GA 1.2.0) and the twisted graph Laplacian construction of Chomiuk (2026). Rather than constituting an implementation or extension of the latter, Beyond Containment 4.0 operates at the meta-level of civilizational geometry, providing a strategic manifold on which the emergent spacetime structures derived from discrete transport networks may be coherently embedded. The compatibility rests on shared mechanisms of relational emergence, scaling conjugation, effective energy densities, and spectral actions, while the boundary between the theories remains rigorously delineated. The present statement establishes the mathematical compatibility between these independent frameworks without merging one into the other.