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March 26, 20260 citationsOpen Access

Constrained Informational Systems: A Structural Framework for Lawful Emergence Under Constraint

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DND.S. Nelson

Key Points

  • The aim is to introduce a framework for understanding how constraints shape system behavior in informational contexts.
  • Developed a structural framework analyzing constrained systems.
  • Characterized semantic entropy in meaning-bearing systems.
  • Identified failure modes caused by varying constraint regimes.
  • Proposed signatures to observe system-level dynamics.
  • Highlighted identifiable failure modes like over-coherence and irreversible collapse.
  • Demonstrated how constraint influences the behavior of information systems.

Abstract

This preprint introduces Constrained Informational Systems (CIS), a structural framework for analyzing how structure and system behavior emerge under constraint in meaning-bearing systems. The framework treats constraint as a primitive structural feature shaping allowable transformations within informational state spaces, rather than as a normative rule, control mechanism, or agent-driven influence. CIS characterizes semantic entropy as dispersion in interpretive alignment across a system and shows how varying constraint regimes produce identifiable failure modes, including over-coherence, paralysis, and irreversible collapse. The paper proposes observable system-level signatures of these dynamics and delineates conditions under which semantic phase transitions occur, without appeal to belief change, persuasion, or subjective intent. This work is intentionally domain-agnostic and structurally defined rather than metaphorical. Formal mathematical instantiation, domain-specific application, and empirical modeling are deliberately deferred to subsequent volumes. This preprint represents the first public component of a staged research program concerned with lawful emergence in constrained informational systems.

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Cite This Study

D.S. Nelson (2026) studied this question.

synapsesocial.com/papers/69c4cc85fdc3bde448917cafhttps://doi.org/10.5281/zenodo.19210132
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