Admissibility-Governed Identity Persistence Under Structural Perturbations

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Authors: Kearon Allen
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Abstract

This record accompanies the manuscript “Admissibility-Governed Identity Persistence Under Structural Perturbations”by Kearon Allen. The archive contains numerical results and figures from controlled experiments on a chaotic dynamical system designed to test whether identity persistence is governed primarily by perturbation magnitude or by admissible structural update rules. Survival curves are provided for baseline dynamics, stochastic noise, discontinuous teleportation, and teleportation combined with forced relocking. From these curves, operational invariants including the identity threshold k∗, cliffness, tail mass, and hazard profiles are computed. The dataset demonstrates that stochastic magnitude perturbations degrade identity gradually, whereas structural discontinuities induce immediate collapse. Introducing a relocking (return-force) operation restores persistence and produces a sharp phase transition as a function of relock strength. These results support the hypothesis that identity persistence is controlled by admissible structural constraints rather than perturbation magnitude alone. This archive includes:• Survival curve data files (TSV format)• Invariant summary tables• Configuration parameters• Figures used in the manuscript Simulation code implementing the update and relocking rules is not included and remains proprietary due to pending intellectual property protection. The data provided here is sufficient to reproduce all reported figures and invariant measurements and to enable independent comparative analysis.

Fields of Study & Subjects

Complex Systems and Dynamics Mathematical Dynamics and Fractals Chaos control and synchronization

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
30 January 2026
Language
EN
Document type
Preprint