Post-Collapse Dynamics: Structural Behaviour Beyond Admissibility in Constraint Space

This paper introduces Post-Collapse Dynamics within the Paton System as a structural description of system behaviour after admissibility has been lost. Building on Control Limits and the Point of No Return the framework defines post-collapse states as those with non-positive admissibility margin and characterises system behaviour within inadmissible regions of constraint space. The paper describes structural breakdown fragmentation and unconstrained motion arising from constraint violation and loss of coherence. It further identifies conditions under which re-entry into admissible space may occur through structural reconfiguration. This provides a domain independent account of system behaviour beyond admissibility without modifying underlying governing equations.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-22
DOI
https://doi.org/10.5281/zenodo.19159181
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Post-Collapse Dynamics: Structural Behaviour Beyond Admissibility in Constraint Space

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

Post-Collapse Dynamics: Structural Behaviour Beyond Admissibility in Constraint Space

Andrew John Paton
article en

Abstract

This paper introduces Post-Collapse Dynamics within the Paton System as a structural description of system behaviour after admissibility has been lost. Building on Control Limits and the Point of No Return the framework defines post-collapse states as those with non-positive admissibility margin and characterises system behaviour within inadmissible regions of constraint space. The paper describes structural breakdown fragmentation and unconstrained motion arising from constraint violation and loss of coherence. It further identifies conditions under which re-entry into admissible space may occur through structural reconfiguration. This provides a domain independent account of system behaviour beyond admissibility without modifying underlying governing equations.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 11%
Quantum Mechanics and Applications
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