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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19826228 |
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| _version_ | 1866901774677311488 |
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| author | Schwartz, Rami |
| author_facet | Schwartz, Rami |
| contents | <pre><code class="language-text">We introduce the uCube framework, a universal three-dimensional state-space model for representing complex systems through three orthogonal dimensions: material (M), structural (R), and intentional (I). Complex systems are represented as points within the unit cube, with trajectories over time and systemic coherence quantified by the geometric mean O = (M × R × I)^{1/3}. Domain-specific cubes (economic, political, social) are integrated into a higher-order meta-cube. The framework is empirically validated using a panel dataset of nine countries (2014–2023), with detailed trajectory analysis of Switzerland, Mexico, and Argentina. Stable systems converge toward high-order regions, while volatile systems show discontinuities, particularly along the material dimension. All data, code, normalization formulas, and interactive 3D visualizations are openly available at https://ucube.com/model.</code></pre> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19826228 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Three-Dimensional State-Space Model for Complex Systems: The uCube Framework Schwartz, Rami uCube complex systems state-space model Systems Theory geometric mean trajectory analysis multi-domain modeling systemic coherence M-R-I Framework sociophysics <pre><code class="language-text">We introduce the uCube framework, a universal three-dimensional state-space model for representing complex systems through three orthogonal dimensions: material (M), structural (R), and intentional (I). Complex systems are represented as points within the unit cube, with trajectories over time and systemic coherence quantified by the geometric mean O = (M × R × I)^{1/3}. Domain-specific cubes (economic, political, social) are integrated into a higher-order meta-cube. The framework is empirically validated using a panel dataset of nine countries (2014–2023), with detailed trajectory analysis of Switzerland, Mexico, and Argentina. Stable systems converge toward high-order regions, while volatile systems show discontinuities, particularly along the material dimension. All data, code, normalization formulas, and interactive 3D visualizations are openly available at https://ucube.com/model.</code></pre> |
| title | A Three-Dimensional State-Space Model for Complex Systems: The uCube Framework |
| topic | uCube complex systems state-space model Systems Theory geometric mean trajectory analysis multi-domain modeling systemic coherence M-R-I Framework sociophysics |
| url | https://doi.org/10.5281/zenodo.19826228 |