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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.18074625 |
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| _version_ | 1866901100130467840 |
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| author | Raavi, Havish |
| author_facet | Raavi, Havish |
| contents | <p>A structural analysis of the Collatz cycle equation is presented, showing that all nontrivial positive cycles are incompatible with deterministic growth bounds, prime behavior, and internal divisibility constraints. The work eliminates all repeatable and isolated cycle mechanisms and reduces the Collatz conjecture to a finite Diophantine obstruction.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18074625 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Structural and Equation-Based Obstructions to Nontrivial Positive Collatz Cycles Raavi, Havish <p>A structural analysis of the Collatz cycle equation is presented, showing that all nontrivial positive cycles are incompatible with deterministic growth bounds, prime behavior, and internal divisibility constraints. The work eliminates all repeatable and isolated cycle mechanisms and reduces the Collatz conjecture to a finite Diophantine obstruction.</p> |
| title | Structural and Equation-Based Obstructions to Nontrivial Positive Collatz Cycles |
| url | https://doi.org/10.5281/zenodo.18074625 |