Alignment is Not Transferable Across Structural Discontinuity - A Structural Constraint on AI Alignment under Transformation

Every alignment method — RLHF, Constitutional AI, Red-teaming, preference optimization — operates on one assumption: that the system produced by alignment training is the system that is deployed. This assumption is not derived. It is presupposed. La Profilée establishes that a system under real transformation exists as a system if and only if it satisfies the persistence condition IR ≤ 1. If this condition is violated between alignment training and deployment, the aligned system and the deployed system are not the same system. Alignment is not a property of systems in general. It is a property of a specific system at a specific structural state. It is not transferable across structural discontinuity. This paper derives this consequence, specifies the structural condition under which alignment is preserved, and demonstrates the mechanism through the empirical case of catastrophic forgetting — reinterpreted as structural non-persistence rather than memory failure. The result is not a critique of alignment methods. It is the structural condition they have not yet addressed.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-24
DOI
https://doi.org/10.5281/zenodo.19735389
Primary Topic
AI-based Problem Solving and Planning
Type
article
Field-Weighted Citation Impact
0.00
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article

Alignment is Not Transferable Across Structural Discontinuity - A Structural Constraint on AI Alignment under Transformation

Marc Maibom
Zenodo (CERN European Organization for Nuclear Research)
AI-based Problem Solving and Planning
article

Alignment is Not Transferable Across Structural Discontinuity - A Structural Constraint on AI Alignment under Transformation

Marc Maibom
article en

Abstract

Every alignment method — RLHF, Constitutional AI, Red-teaming, preference optimization — operates on one assumption: that the system produced by alignment training is the system that is deployed. This assumption is not derived. It is presupposed. La Profilée establishes that a system under real transformation exists as a system if and only if it satisfies the persistence condition IR ≤ 1. If this condition is violated between alignment training and deployment, the aligned system and the deployed system are not the same system. Alignment is not a property of systems in general. It is a property of a specific system at a specific structural state. It is not transferable across structural discontinuity. This paper derives this consequence, specifies the structural condition under which alignment is preserved, and demonstrates the mechanism through the empirical case of catastrophic forgetting — reinterpreted as structural non-persistence rather than memory failure. The result is not a critique of alignment methods. It is the structural condition they have not yet addressed.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Openalex Percentile: Top 3%
AI-based Problem Solving and Planning
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