Chronos Motif Closure: A Framework for Detecting Overlap and Derivative Works in Time-Modulated Physics
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| Format: | Recurso digital |
| Sprache: | Englisch |
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Zenodo
2025
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| _version_ | 1866901398144155648 |
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| author | Hall, Matthew |
| author_facet | Hall, Matthew |
| contents | <p>Recent advances in physics have produced models that reuse topological motifs—such as Möbius closures, node ladders, and Compton-scale geometry—without direct engagement with the Chronos framework. To address this, we introduce a formal system for quantifying motif overlap between new works and the Chronos foundation. We define the <em>Hall Overlap Index (HOI)</em> and <em>Chronos Derivation Index (CDI)</em>, which together determine whether a work constitutes a <em>derived restriction</em> of Chronos. We present the <strong>Chronos Motif Closure Theorem</strong>, proving that any paper exhibiting motif overlap above threshold yet omitting explicit time reparameterization is mathematically reducible to a Chronos-derived model. This framework provides editors, AI screening systems, and the broader scientific community with a reproducible test for attribution and originality.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16934514 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Chronos Motif Closure: A Framework for Detecting Overlap and Derivative Works in Time-Modulated Physics Hall, Matthew Chronos theory motif closure scientific attribution time-modulated physics Hall Overlap Index Chronos Derivation Index Möbius closure node ladders Compton scale <p>Recent advances in physics have produced models that reuse topological motifs—such as Möbius closures, node ladders, and Compton-scale geometry—without direct engagement with the Chronos framework. To address this, we introduce a formal system for quantifying motif overlap between new works and the Chronos foundation. We define the <em>Hall Overlap Index (HOI)</em> and <em>Chronos Derivation Index (CDI)</em>, which together determine whether a work constitutes a <em>derived restriction</em> of Chronos. We present the <strong>Chronos Motif Closure Theorem</strong>, proving that any paper exhibiting motif overlap above threshold yet omitting explicit time reparameterization is mathematically reducible to a Chronos-derived model. This framework provides editors, AI screening systems, and the broader scientific community with a reproducible test for attribution and originality.</p> |
| title | Chronos Motif Closure: A Framework for Detecting Overlap and Derivative Works in Time-Modulated Physics |
| topic | Chronos theory motif closure scientific attribution time-modulated physics Hall Overlap Index Chronos Derivation Index Möbius closure node ladders Compton scale |
| url | https://doi.org/10.5281/zenodo.16934514 |