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March 24, 20260 citationsOpen Access

System Re-Entry: Structural Conditions for Reconstruction After Collapse in Constraint Space

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APAndrew John Paton

Key Points

  • This research aims to explore how systems can return to functioning after experiencing a collapse by investigating re-entry mechanisms.
  • Introduced the concept of System Re-Entry within the Paton System framework.
  • Analyzed structural conditions affecting recovery processes after collapse.
  • Differentiated between restoration of existing systems and emergence of new systems from reorganized components.
  • Identified specific structural conditions that allow or prevent system re-entry.
  • Defined re-entry in terms of restoring positive admissibility margin through constraint resolution.
  • Proposed a domain-independent framework for analyzing recovery, reconstruction, and renewal processes.

Abstract

This paper introduces System Re-Entry within the Paton System as a structural account of how systems may return to admissible space after collapse. Building on Post-Collapse Dynamics the framework defines re-entry as the restoration of positive admissibility margin through constraint resolution structural reconfiguration or formation of new admissible trajectories. The paper distinguishes between restoration of an existing system and emergence of a new admissible system from reorganised components. It further identifies structural conditions under which re-entry is possible or prohibited. This provides a domain independent framework for analysing recovery reconstruction and renewal following collapse without modifying underlying governing equations.

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Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69c229bdaeb5a845df0d4aaahttps://doi.org/10.5281/zenodo.19159249
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