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

Key Points

• The research aims to address geometric limitations in contemporary AI systems by proposing a new theoretical framework.
• Introduction of the Geometric Capacity Bottleneck concept.
• Development of a Unified Geometric Field Theory based on the Geometric Control Manifold.
• Identification of critical thresholds for Integration, Coherence, and Differentiation in self-organizing systems.
• Proposal for a hybrid classical-quantum architecture for effective topological measurement.
• Proven that architectural scaling alone cannot resolve geometric limitations in AI.
• Demonstrated that a self-organizing system induces a Riemannian manifold when certain informational dynamics thresholds are met.
• Highlighted the potential of hybrid classical-quantum architectures to advance measurement at scale.

Abstract