The Principle of Irreducible External Correction: Corrective Stability in Finite Adaptive Systems
Abstract
This paper derives a higher-order constraint principle for corrective stability in finite adaptive systems. Building on the feasibility law, it argues that stable correction requires an external corrective channel the system does not own, and decomposes corrective authority into four necessary branches: feasibility, channel irreducibility, sustained exogenous access, and corrective authenticity. The paper frames these results as a physics-level constraint on correction, with alignment treated as one important application rather than the only domain.
Fields of Study & Subjects
Formal Methods in Verification
Stability and Control of Uncertain Systems
Logic
Reasoning
and Knowledge
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 April 2026
- Language
- EN
- Document type
- Preprint