Research

The Intelligence Ratchet: A Theoretical Framework for Self-Stabilizing Artificial Superintelligence

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Preprint Conceptual framework Zenodo  February 4, 2026

By Michael Harris

This is conceptual work — a framework we are proposing, not a demonstrated result. Read our assessment of what it does and does not establish

Abstract

Current paradigms in Artificial Intelligence face a seemingly intractable trade-off between Capability and Safety. Systems capable of recursive self-improvement (the "Singularity") risk unbounded instability, while systems with provable safety guarantees ("Bounded Optimality") are mathematically prevented from generating novel solutions. This paper introduces the General Interaction Dynamics Engine (GIDE), a theoretical framework that resolves this paradox. We present a mechanism for Finite Recursive Growth—an "Intelligence Ratchet"—that allows an AI system to exhibit transient bursts of superintelligent creativity while remaining rigorously bounded by physical and information-theoretic safety constraints. We formally define the Predictability Horizon (T_pred) for chaotic cognition and the Semantic Grounding Invariant that couples learning rates to physical verification.

DarcStar commentary

This is conceptual work, and it should be read as such. The field usually treats capability and safety as a straight trade: the more freely a system can rebuild itself, the less you can promise about where it ends up. We think that trade is worth attacking rather than accepting, and the "ratchet" is a proposal for how — letting a system take real, transient bursts of creativity while holding it inside physical and information-theoretic bounds it cannot argue its way out of. Whether it survives contact with a working system is the open question here, not a settled one.

We published it as a theorem-only disclosure — that is the status printed on the paper itself. It states results and names the theorems they come from; it contains no proofs, no experiments and no code. It is the frame the rest of our GIDE work has to earn, and we would rather argue it in the open than sit on it until it is finished.

Technical status and limitations

Proposed, not demonstrated. The ratchet cycle itself — burst, capture, grounding — is a mechanism we are proposing. It has not been run, simulated or benchmarked, and the paper ships no artifact.

Machine-checked, with debt. The results this paper leans on are mechanized to the standard set out on our proof methodology page — not uniformly, and not all of them inside the figures published there. The paper states them; it does not prove them.

Not evidence. Nothing on our evidence pages rests on this paper, by design — the guarantees published there are a separate body of work with its own proof and benchmark record.

Two lines are stronger than the work behind them, and it is better to say so here than to let a careful reader find them. The conclusion calls the framework a rigorous mathematical proof that recursive self-improvement and asymptotic stability are compatible; it is not one. The abstract says that systems with provable safety guarantees are mathematically prevented from generating novel solutions; read that as the framing of the trade-off we set out to investigate, not as an established result. A revised version of the record is the right place to fix both.