Resonance-Based Subspace Dynamics (RBS-D) — Publication No. 31: Stress Test 1.0 with Four Null Models — Mechanism Analysis, Transition Dynamics, and Persistent States

RBS-D Framework 2 Resonance-Based Subspace Dynamics (RBS-D) — Publication No. 31: Mechanism / Transition Analysis This publication develops a research programme based on RBS-D Stress Test 1.0, focusing on structural dynamics, ordered event sequences, and persistent numerical states. The research examines differences between radial, tangential, and combined structures, variation in robustness across seeds and target configurations, and the temporal organisation of transitions. The event sequence C → E → S → N is treated as a central candidate rule within the existing research programme. The publication formulates concrete research questions concerning component ablation, coupling metrics, null models, perturbations, and predictive methods. It also identifies criteria under which the proposed hypotheses may be supported, narrowed, or falsified. A central objective is to distinguish observed numerical patterns from possible dynamical mechanisms and future physical interpretations. The longer-term research directions involving ATM-15, ATM-31, ATM-63, and antiparallelogram-like structures are presented as theoretical questions rather than established physical findings. The documented seed-stability analysis covered 32 common cases involving twelve seeds and three target configurations. Ten cases were classified as robust. These results motivate further investigation of initial-condition dependence and the conditions associated with persistent states. This publication does not claim that a general physical mechanism has already been demonstrated. Instead, it organises the findings and open questions arising from Stress Test 1.0 into a focused and falsifiable research agenda. Language: English.Corresponding German-language edition: https://doi.org/10.5281/zenodo.23689706 The broader RBS-D research archive, planned at approximately 5 GB, is intended to be made available as a separate supplementary deposit. Independent review and reproduction of individual analyses remain separate verification steps. Manuscript research status: 27 October 2026. Tobias Wolfelspergeer