{
  "abstract": "This work presents a structural proof of the Birch and Swinnerton-Dyer Conjecture, based on the concept of structural coherence and self-similarity: an elliptic curve has infinitely many rational points if and only if its point distribution preserves a constant harmonic pattern across all scales. The vanishing order of the L-function at s = 1 equals the rank, counting independent directions of sustained coherence. When coherence breaks at any scale, the set of rational points becomes finite. The principle unifies number theory with observations from wave dynamics, resonance, and natural self-repeating structures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Deni da Silva Saez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b55002htkx0e8.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23578766",
  "fulltext_url": null,
  "id": "b55002htkx0e8",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23578766",
  "language": "por",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23578766/files/Structural%20Coherence%20and%20the%20Birch%20and%20Swinnerton-Dyer%20Conjecture.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b55002htkx0e8.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:20:19Z",
      "native_id": "23578766",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23578766"
    }
  ],
  "subjects": [],
  "title": "Structural Coherence and the Birch and Swinnerton-Dyer Conjecture - Coerência Estrutural e a Conjectura de Birch e Swinnerton-Dyer",
  "title_text": "Structural Coherence and the Birch and Swinnerton-Dyer Conjecture - Coerência Estrutural e a Conjectura de Birch e Swinnerton-Dyer",
  "type": "preprint",
  "updated_at": "2026-11-05T12:20:19Z",
  "url": "https://research.draconitic.com/paper/b55002htkx0e8",
  "venue": "Zenodo",
  "versions": []
}