The Theory of Universal System Balance: A Tensor Network Approach to Interconnected Systems, Feedback Dynamics, and Stability

Key Points

• The central aim is to develop a framework for modeling complex systems through tensor network mathematics.
• Introduced a comprehensive framework for modeling using tensor network mathematics.
• Integrated four universal principles: system integrity, universal balance, universal feedback, and interconnected nodes.
• Provided mathematical formulations, tensor diagrams, and simulation placeholders for analysis.
• Demonstrated the predictive capabilities of the framework in analyzing stability in complex systems.
• Showed applications across various domains including ecosystems and artificial intelligence.
• Illustrated defect propagation and emergent equilibrium dynamics within interconnected systems.

Abstract