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Formal Framework for Recursive Expansion Architecture (REA) Math 101

  • 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.

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