Multi-Scale Resonance Architecture and Hierarchical Subspace Organization
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2026
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| _version_ | 1866901906560909312 |
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| author | Wolfelsperger, Tobias |
| author_facet | Wolfelsperger, Tobias |
| contents | <p>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.</p> <p>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.</p> <p>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.</p> <p>Within the RBS-D framework, physical systems are described in terms of:</p> <ul> <li>hierarchical subspace structures</li> <li>multi-scale resonance coupling</li> <li>scale-dependent interaction strengths</li> <li>nested phase coherence regimes</li> </ul> <p>This publication extends the nonlinear coupling framework (P05) by introducing a structural multi-scale interpretation of resonance systems.</p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18495419 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Multi-Scale Resonance Architecture and Hierarchical Subspace Organization Wolfelsperger, Tobias RBS-D, stability analysis, perturbation theory, eigenmode stability, nonlinear operator dynamics, resonance stability classification, linear stability analysis, spectral stability, eigenvalue analysis, dynamical perturbations, operator spectrum, stability regimes, metastable systems, instability growth, damping mechanisms, resonance robustness, system response theory, perturbative physics, stability boundaries RBS-D, Resonance-Based Subspace Dynamics, unified physics framework, subspace dynamics, resonance physics, nonlinear systems, structural coupling, emergent dynamics, theoretical physics model, multi-scale physics, cross-disciplinary physics, mathematical physics, system theory, operator dynamics, spectral analysis, experimental physics, astrophysics, plasma physics, fluid dynamics, stability theory, geometric physics <p>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.</p> <p>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.</p> <p>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.</p> <p>Within the RBS-D framework, physical systems are described in terms of:</p> <ul> <li>hierarchical subspace structures</li> <li>multi-scale resonance coupling</li> <li>scale-dependent interaction strengths</li> <li>nested phase coherence regimes</li> </ul> <p>This publication extends the nonlinear coupling framework (P05) by introducing a structural multi-scale interpretation of resonance systems.</p> <p> </p> |
| title | Multi-Scale Resonance Architecture and Hierarchical Subspace Organization |
| topic | RBS-D, stability analysis, perturbation theory, eigenmode stability, nonlinear operator dynamics, resonance stability classification, linear stability analysis, spectral stability, eigenvalue analysis, dynamical perturbations, operator spectrum, stability regimes, metastable systems, instability growth, damping mechanisms, resonance robustness, system response theory, perturbative physics, stability boundaries RBS-D, Resonance-Based Subspace Dynamics, unified physics framework, subspace dynamics, resonance physics, nonlinear systems, structural coupling, emergent dynamics, theoretical physics model, multi-scale physics, cross-disciplinary physics, mathematical physics, system theory, operator dynamics, spectral analysis, experimental physics, astrophysics, plasma physics, fluid dynamics, stability theory, geometric physics |
| url | https://doi.org/10.5281/zenodo.18495419 |