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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19696004 |
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| _version_ | 1866901151324045312 |
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| author | Hoskins, James |
| author_facet | Hoskins, James |
| contents | <p>This work proposes a relational geometry framework derived from the primitive constraint ℰ ≠ 0, interpreted as exclusion of terminal null resolution and therefore as a requirement of nonzero continuation. From this starting point, the manuscript develops a structured derivation chain in which continuation produces mismatch, mismatch produces relational structure, relational structure yields local reference, and path-dependent transport yields geodesic organization.\n\nThe central interaction law introduced is Geodesic Reference Alignment (GRA), defined as bounded divergence of co-transported local references along least-mismatch paths. On this basis, curvature is defined operationally as the rate at which reference alignment fails under admissible transport, rather than through a predefined metric tensor.\n\nThe manuscript is theory-first but includes an initial governed prototype implemented as a weighted relational graph. This prototype demonstrates separation between corridor formation, transition regimes, and decoupling behavior using observables such as alignment divergence, transport residual, and operational curvature.\n\nThis work does not claim a completed metric geometry or established physical law. It is presented as a structured conceptual and operational framework intended for scrutiny, formal refinement, and testing against simulation and extended models</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19696004 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Persistence and Near-Floor Dynamics Hoskins, James <p>This work proposes a relational geometry framework derived from the primitive constraint ℰ ≠ 0, interpreted as exclusion of terminal null resolution and therefore as a requirement of nonzero continuation. From this starting point, the manuscript develops a structured derivation chain in which continuation produces mismatch, mismatch produces relational structure, relational structure yields local reference, and path-dependent transport yields geodesic organization.\n\nThe central interaction law introduced is Geodesic Reference Alignment (GRA), defined as bounded divergence of co-transported local references along least-mismatch paths. On this basis, curvature is defined operationally as the rate at which reference alignment fails under admissible transport, rather than through a predefined metric tensor.\n\nThe manuscript is theory-first but includes an initial governed prototype implemented as a weighted relational graph. This prototype demonstrates separation between corridor formation, transition regimes, and decoupling behavior using observables such as alignment divergence, transport residual, and operational curvature.\n\nThis work does not claim a completed metric geometry or established physical law. It is presented as a structured conceptual and operational framework intended for scrutiny, formal refinement, and testing against simulation and extended models</p> |
| title | Persistence and Near-Floor Dynamics |
| url | https://doi.org/10.5281/zenodo.19696004 |