RBS-D Framework 2 – Publication No. 28 Empirical Realization of the RBS-D Axioms through ATM-Model Dynamics

Resonance-Based Subspace Dynamics (RBS-D)Framework 2 – Publication No. 28 This publication presents the first comprehensive numerical realization of the axiomatic framework introduced in RBS-D Framework 1. The study demonstrates how independently developed ATM-Model simulations reproduce a wide range of structural and dynamical phenomena predicted by the RBS-D axioms without embedding the theoretical framework into the numerical implementation. A total of 39 independent numerical analyses are systematically compared with the RBS-D axioms, including: • radial mode hierarchies• Bessel-like eigenmodes• memory-field dynamics• emergent inertia and effective mass• extrinsic wave formation• resonance coupling• long-range field coherence• attractor formation• regime transitions• ladder structures• topological invariants• energy exchange• synchronization phenomena• nonlinear field interactions A central methodological aspect of this publication is the explicit separation between the axiomatic RBS-D framework, the independently developed ATM simulation code, and the resulting numerical plots. The observed structural correspondence between these independently developed components provides a systematic empirical evaluation of the RBS-D axioms within the ATM-Model framework. This publication serves as one of the principal empirical components of RBS-D Framework 2, extending the conceptual foundations established in Framework 1 toward numerical validation and interdisciplinary application.