Constructibility-Constrained Coherence Dynamics (CCCD)

We propose Constructibility-Constrained Coherence Dynamics (CCCD), a formal framework unifying three previously separate research programs: AI alignment theory, complex systems stability analysis, and information-geometric dynamics. The central claim is that these elds study dierent projections of a single underlying objectthe coherence-preserving evolution of cognitive systems on stochastic information manifolds. We introduce a formal axiom system dening cognitive manifolds, constructibility constraints, and coherence functionals, and derive conditions under which coherence-decreasing trajectories become dynamically unreachable. We further reinterpret contradiction metabolism as manifold re-projection, and reformulate alignment not as behavioral matching but as admissible trajectory selection under constructibility constraints. The framework yields falsiable predictions distinguishing CCCD-compliant from CCCD-violating systems, and provides a bridge to runtime monitoring via proxy observables including entropic drift, KL divergence load, and curvature proxies. Our primary operational focus is transformer-based articial cognitive systems.