| _version_ | 1866901741848494080 |
|---|---|
| author | Hermes, Andreas |
| author_facet | Hermes, Andreas |
| contents | <p>This paper introduces a relational and model-independent formulation for open systems within the Hermes Structural Framework (HSF). Building on the minimal structural operator set, we define the structural divergence</p> <p>\Delta_\Lambda(\Phi) = \nabla\cdot\Phi + (\nabla\Lambda / \Lambda)\cdot\Phi</p> <p>and derive a universal three-regime classification of structural stability: fixed points, structural flow regimes, and divergence-driven transition regimes.</p> <p> </p> <p>The formulation is purely mathematical and independent of physical interpretation, geometry, or energetic assumptions. It provides a general operator-level foundation for analysing open systems and is fully compatible with previously published HSF papers on operator algebra, computational structural analysis, and structural field formulations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17731632 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Structural Stability Regimes for Open Systems (Hermes Structural Framework – Paper II) Hermes, Andreas Hermes structural Framework HSF structural divergence Open Systems structural stability Regimes Relational calculus operator dynamics structural Field Theory Mathematical physics <p>This paper introduces a relational and model-independent formulation for open systems within the Hermes Structural Framework (HSF). Building on the minimal structural operator set, we define the structural divergence</p> <p>\Delta_\Lambda(\Phi) = \nabla\cdot\Phi + (\nabla\Lambda / \Lambda)\cdot\Phi</p> <p>and derive a universal three-regime classification of structural stability: fixed points, structural flow regimes, and divergence-driven transition regimes.</p> <p> </p> <p>The formulation is purely mathematical and independent of physical interpretation, geometry, or energetic assumptions. It provides a general operator-level foundation for analysing open systems and is fully compatible with previously published HSF papers on operator algebra, computational structural analysis, and structural field formulations.</p> |
| title | Structural Stability Regimes for Open Systems (Hermes Structural Framework – Paper II) |
| topic | Hermes structural Framework HSF structural divergence Open Systems structural stability Regimes Relational calculus operator dynamics structural Field Theory Mathematical physics |
| url | https://doi.org/10.5281/zenodo.17731632 |