.zenodo.json

{
  "upload_type": "publication",
  "publication_type": "preprint",
  "title": "The ℤ/9 Vortex Framework: reflections, division-by-zero as domain change, and a 7 = 6 + 1 correspondence with the Clay Millennium Problems (observation-based, recomputable)",
  "creators": [
    {
      "name": "Rouschev, Tsvetan",
      "orcid": "0009-0000-7312-9778",
      "affiliation": "PSG, Bulgaria"
    }
  ],
  "description": "A free, open, recomputable framework: an exact finite-arithmetic study on the ring Z/9 (the 'vortex') and the group (Z/7)* (the seven-ray Pliska 'rosette'), with a classical simulator of quantum algorithms (TypeScript, formalized in Lean 4, documented in VitePress). Observations: (1) division by zero is treated as a change of domain (n/0 := n^-1 mod 9 on units; 0 <-> infinity on the Riemann sphere); (2) inversion and ten's-complement reflection (10 - d) are involutions; (3) a 7 = 6 + 1 bijection maps the rosette (six units + center) onto the Clay set (six open problems + Poincare); (4) a mechanical entailment test reports 0/7. Conclusion (observed): the framework reflects/maps the Millennium Problems into one algebraic structure; it does NOT solve them and is not a physical theory. It is a proof of concept and a classical simulator. All results recompute from source.",
  "keywords": [
    "modular arithmetic", "Z/9", "group theory", "Pliska rosette",
    "Clay Millennium Problems", "recreational mathematics", "content-addressing",
    "Lean 4", "VitePress", "quantum algorithm simulation", "sacred geometry (interpretation)"
  ],
  "license": "cc-by-nc-4.0",
  "access_right": "open",
  "version": "1.3.5",
  "related_identifiers": [
    { "identifier": "10.5281/zenodo.21781603", "relation": "isNewVersionOf", "scheme": "doi" },
    { "identifier": "10.5281/zenodo.21787144", "relation": "isNewVersionOf", "scheme": "doi" },
    { "identifier": "10.5281/zenodo.21819217", "relation": "isNewVersionOf", "scheme": "doi" },
    { "identifier": "https://github.com/ceccec/millennium-solutions", "relation": "isSupplementTo", "scheme": "url" }
  ]
}