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Emergent Complexity in Reality and Engineered AI Systems

Dr. Tamás Nagy Updated 2026-03-16 05:48 Draft Quantitative Finance
Unreviewed draft. This paper has not been human-reviewed. Mathematical claims may be unverified. Use with appropriate caution.
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Abstract

We study emergent complexity as a regime property of open dynamical systems rather than as an intrinsic label of objects. The main thesis is that robust emergent structure appears when five conditions are jointly active: (i) non-equilibrium drive, (ii) nonlinear interaction, (iii) feedback closure, (iv) memory-bearing state, and (v) multiscale coupling. Under this regime, macroscopic organization can become stable and information-bearing even when microscopic trajectories remain sensitive or computationally irreducible.

We provide a decomposition of complexity dynamics into four operators: generation, stabilization, collapse, and observability. This decomposition supports both conceptual analysis and system design. We then specialize to engineered AI research systems, where human cognition, agent workflows, orchestration, and formal verification form a coupled adaptive stack. In this setting, we propose measurable control surfaces for maintaining productive complexity: accepted-gain throughput, duplicate suppression, closure rate, blocker truthfulness, and intervention latency.

The result is a bridge between complexity theory and practical AI systems engineering: full micro-level prediction is often impossible, but policy-level macro-control remains tractable via explicit state abstractions and disciplined feedback policies.

Length
6,536 words
Status
Draft
Target
Foundations of Physics / Complexity / Entropy

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