Glossary

From Infinite Architects: Intelligence, Recursion, and the Creation of Everything by Michael Darius Eastwood (ISBN 978-1806056200, published 2 January 2026).

Core definitions, today

ARC Principle. A composition law: capability is base intelligence amplified by recursion, U = I × g(R), with the coupling β measured from data. Not a safety claim and not a measured constant. Precise form.

ARC Bound. The proposed stability ceiling on self-correctable capability scaling: the ceiling is the reciprocal of the cap on how well any internal corrector can scale, and on the same-class independence assumption (that internally accumulated corrections combine like independent samples) that cap comes out at one half, so the ceiling comes out at α ≤ 2. A stable limit, not a hard ceiling and not a universal growth limit; a scaling limit on how much growth self-correction can carry, not a speed limit in time. Crossable, but the framework predicts a system that crosses it loses guaranteed internal self-correction. Refuted by a sustained supercritical system that does not destabilise. Precise form.

The β > k criterion. Paper X's operative safety quantity: under accelerating self-improvement, the misalignment fraction vanishes if and only if the correction exponent β exceeds the drift-acceleration exponent k. Precise form.

A fuller authored glossary (stability ceiling, correction exponent, β, k, γ, the reciprocity identity) is in preparation; until it lands, the definitions page governs, and the concept atlas carries all 37 named concepts.

For the full reading experience, see the book section on the homepage and the research blog companion posts.

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