A novel mathematical framework for bidirectional recursive feedback systems

A recursive feedback system using a universal equation for achieving stabilization and symmetry across diverse domains. The properties of boundedness, symmetry, and convergence are rigorously analyzed, demonstrating their applicability to fields such as physics, biology, artificial intelligence, economics, and computational systems. By generalizing the system’s dynamics, this work introduces a mathematical foundation for understanding equilibrium in complex systems, with wide-ranging practical applications.