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March 14, 20260 citationsOpen Access

Recursive Equilibrium v1.2: A Unified Framework for Epistemic, Ethical, Semantic & Relational-Structure Stability in AI Systems

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KLKon Lionis

Key Points

  • The aim is to develop a holistic framework that integrates multiple stability criteria for AI systems.
  • Introduced Recursive Equilibrium as a framework for AI stability.
  • Proposed coupling of four structures: epistemic calibration, ethical reflexivity, semantic coherence, and relational-structure preservation.
  • Illustrated multi-dimensional interactions through a machine learning-native translation.
  • Hypothesized that stability in one domain could influence others via feedback mechanisms.
  • Proposed that the framework can support testable predictions regarding AI stability.
  • Identified key open questions about validation and implementation across coupled layers.

Abstract

Recursive Equilibrium is a candidate unified framework for reasoning about AI system stability. It proposes that four constraint structures—epistemic calibration (RBE v3), ethical reflexivity (HBE), semantic coherence (MAF), and relational-structure preservation with cross-domain reconstruction (TSC)—may be recursively coupled to form a multi-dimensional stability architecture. Stabilization in one domain is hypothesized to propagate through conceptual feedback mechanisms to the others, producing coordinated low-drift behavior across inference, dialogue, and transformation under the framework’s internal criteria. Rather than treating uncertainty management, alignment, semantic coherence, and relational-structure preservation as independent objectives, Recursive Equilibrium presents a conceptual synthesis of four candidate frameworks, together with an ML-native translation illustrating how these layers could interact. It is intended to support understanding, hypothesis generation, and structured investigation, not to serve as an empirical benchmark, validated implementation, or prescriptive control recipe. The framework provides testable predictions and a research programme for investigating AI stability as a coupled equilibrium problem rather than a collection of isolated heuristics. It is presented as a candidate architecture for study, leaving open questions about empirical validation, cross-layer implementation, scalability, mechanistic grounding, and generalisation.

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Cite This Study

Kon Lionis (2025) studied this question.

synapsesocial.com/papers/69b4fb8db39f7826a300bcf3https://doi.org/10.5281/zenodo.18975175
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