A Unified Geometric Field Theory of Self-Organizing Intelligence via Hybrid Classical-Quantum Topological Measurement

Contemporary AI systems face a limitation of geometry, not scale. We formalize theGeometric Capacity Bottleneck and prove it cannot be resolved by architectural scalingalone. We propose a Unified Geometric Field Theory grounded in the Geometric ControlManifold framework: a self-organizing system induces an effective Riemannian manifoldwhen its informational dynamics satisfy critical thresholds of Integration (I), Coherence (Γ),and Differentiation (∆). A hybrid classical-quantum architecture is proposed for topologicalmeasurement at scale.