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The theorem aims to establish a framework for recursive governance continuity in self-preserving flow systems, extending previous findings.

May 29, 2026Open Access

Theorem 3: Recursive Governance Continuity Theorem in Self-Preserving Flow (SPF)

Key Points

The theorem aims to establish a framework for recursive governance continuity in self-preserving flow systems, extending previous findings.
Introduced a third-order governance operator Ψt governing admissible transformations.
Proved the necessity of recoverable state, constraint, and governance evolution for stability.
Analyzed the effects of governance lineage on meta-regression interpretation.
Establishes that without a recoverable governance lineage, systems face governance drift.
Highlights the risk of irreversible collapse in historical interpretability under instability.
Concludes that long-horizon stability relies on comprehensive recovery across operational dimensions.

Abstract

This theorem extends the SPF hierarchy from state continuity (Theorem 1) and constraint continuity (Theorem 2) to recursive governance continuity. We prove that longhorizon intelligent stability requires not only recoverable state evolution and recoverable constraint evolution, but also recoverable evolution of the governance operators that regulate semantic revision itself. The theorem introduces a third-order governance operator Ψt : Φt → Φt+1 which governs the admissible transformation of Meta-SCL revision dynamics. Without a recoverable governance lineage, recursive semantic systems inevitably enter governance drift, resulting in the irreversible collapse of historical interpretability across infinite meta-regression.

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Ali Mofradi (Wed,) studied this question.

synapsesocial.com/papers/6a192f1bfab5b468c441874f https://doi.org/https://doi.org/10.5281/zenodo.20405831

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