Multi-Scale Resonance Architecture and Hierarchical Subspace Organization

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Authors: Tobias Wolfelsperger
Cited by: 0

Abstract

Resonance-Based Subspace Dynamics (RBS-D) is a 24-part scientific framework that introduces a structural interpretation of physical systems based on coupled subspaces, resonance phenomena, and nonlinear dynamics. This publication (No. 08 / 24) develops the multi-scale architecture of the RBS-D framework by introducing a hierarchical organization of interacting subspaces across different structural levels. The focus lies on how resonance structures are not isolated phenomena but emerge within nested subspace hierarchies, where coupling mechanisms operate across multiple scales simultaneously. Within the RBS-D framework, physical systems are described in terms of: hierarchical subspace structures multi-scale resonance coupling scale-dependent interaction strengths nested phase coherence regimes This publication extends the nonlinear coupling framework (P05) by introducing a structural multi-scale interpretation of resonance systems.

Fields of Study & Subjects

Complex Systems and Dynamics Nonlinear Dynamics and Pattern Formation Advanced Mathematical Theories and Applications

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
5 February 2026