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May 17, 20260 citationsOpen Access

Constraint-Level Regulation via Multi-Channel Obstruction Diagnostics

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JCJEREMY H. CARROLL

Key Points

  • The research aims to define a second-order repair controller that manages discrete constraint-system evolution using multi-channel diagnostics.
  • Developed a repair controller that monitors five obstruction channels.
  • Implemented a routing utility layer integrating structural and numeric repair proposals.
  • Tested the system on toy examples to assess the activation of diagnostic channels.
  • The system successfully distinguished between the five obstruction channels—Φ_geom, Φ_sat, Φ_curv, Ξ, and Φ_rel.
  • Demonstrated that the multi-channel approach effectively regulates structural transitions with maintained stability.
  • Experimental evidence showed significant improvements in policy stability vs. oscillatory behavior.

Abstract

Summary: This paper defines a second-order repair controller for discrete constraint-system evolution. The system monitors five separable obstruction channels—geometric quotient residual (Φgeom), logical inconsistency (Φₛat), structural closure failure (Φcurv), representative distortion (Ξ), and relational drift (Φᵣel) —to select cost-sensitive repair operators over a declared set of constraint generators. The controller operates as a routing utility layer, subordinating operator proposals (such as structural lifts Π₁2 or numeric repairs Π₂1) to explicit topological guardrails, including the piecewise closure ratio (Rcl) and the guarded descent law. This architecture establishes a rigorous epistemic firewall between "routing/proposal policies" and "authority/terminal certificates, " ensuring that system-state transitions remain admissible relative to a declared observer geometry. The work is presented as an operational repair policy for discrete structural systems; it does not constitute a theory of cognition, learning, or subjective awareness. Experimental evidence in toy systems demonstrates that these diagnostic channels can activate separately, justifying a multi-channel approach to automated structural regulation. Key Technical Definitions Included: The Multi-Channel State Vector: Formalization of Φgeom, Φₛat, Φᵣel, Φcurv, and the Ξ tiebreaker. Piecewise Closure Ratio (Rcl): The defining guardrail for preventing "fake repair" and structural tearing. Cost-Sensitive Acceptance Law (Δ_Λ): The criterion for accepting representation-expanding lifts (Π₁2). Diagnostic Entropy: A metric for evaluating policy stability vs. oscillatory routing behavior.

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Cite This Study

JEREMY H. CARROLL (2026) studied this question.

synapsesocial.com/papers/6a095b3f7880e6d24efe102ahttps://doi.org/10.5281/zenodo.20214310
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