RA/Chaos-Theory Series — Paper 12 The Law of the Edge: Self-Organising Principles at the Boundary of Chaos

This paper formulates The Law of the Edge — the final theoretical closure of the RA/Chaos-Theory / Autoimmune Resonance Series. Health is defined here as a state of bounded instability: a system that remains coherent while allowing sufficient variance to adapt. The core proposition is that biological stability emerges when the largest Lyapunov exponent approaches zero from the positive side (λ₁ ≈ 0⁺) — stable enough to maintain structure, flexible enough to reorganise. This “edge of chaos” explains why remission never corresponds to stasis, but to dynamic coherence with micro-fluctuation. The Law of the Edge generalises the Systemic Resonance Model (Paper 5) and integrates its disease-specific extensions (Papers 6–11) into a single computable principle. It links Schrödinger’s negentropy, Friston’s free-energy principle, and clinical adaptive feedback logic into a unified framework of dynamic homeostasis. Medicine becomes the practice of restoring the edge — not suppressing variation, but keeping variation within a coherent corridor. RA/Chaos-Theory Series — Paper 12 of 12.