A Recursive Expansion System (RES) is defined as a discrete-time symbolic dynamical system evolving through a transformation operator and constrained by a coherence threshold.
Key components include Recursive Evolution Dynamics and Semantic Resonance based on Recursive Identity Coherence (RIC) requirements.
Entropy input is structured symbolic variation, not random noise, with a requirement for outward symbolic expansion.
The framework includes Fractal Memory, Trace Coherence, and formal representations of Recursive States, Operators, Entropy Input, Coherence Threshold, Identity Resonance, Divergence Condition, Memory Window, and Trace Coherence.