{
  "abstract": "We present the definitive synthesis of the Derscariu Program. The finite-dimensional operator HN = (1 − α) GUEN + α diag(VN ), with α = 0.3 and the von MangoldtPotential VN is tested at N = 4000 and N = 8000 against the first nontrivial zeros of the Riemann zeta function. The core metrics remain exceptional: Pearson correlation with ζ zeros 0.9980, Weyl-law correlation 0.9983 (median ratio 1.39), GUE spacing statistics (PCC 0.954, DKS = 0.40, ⟨r⟩ = 0.533). For the first time, we exhaustively verify all known spectral tests: number variance, spectral rigidity, form factor, second-nearest-neighbor spacing, spacing autocorrelation, differential entropy, and Tracy–Widom statistics. The Tracy–Widom test fails dramatically (DKS = 1.00), revealing that the spectral edge is controlled by the arithmetic potential, not by GUE fluctuations — a unique signature of the operator. We identify the underlying mechanism: free independence of prime-associated frequencies. The total Hamiltonian is a free convolution of a semicircle and a countable family of discrete measures, one for each prime, which simultaneously guarantees local GUE repulsion and the global Weyl law. We then provide a complete conditional proof: if the two lemmas (Weyl law and Riemann–Weil trace formula for the infinite operator) hold, the Riemann Hypothesis follows. Finally, we outline the remaining technical steps (construction of the type II∞ algebra, Dixmier trace computation, explicit R-transform) and show that they are within reach using the tools of Connes–Consani–Moscovici (2025), Ponge–Tian (2026), and Voiculescu’s free probability. All code, data, and figures are available in the companion Zenodo repository.",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Radu-Daniel Derscariu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9symv1nt4nwvb.bib",
  "cited_by": 6,
  "doi": "10.5281/zenodo.20419255",
  "fulltext_url": null,
  "id": "9symv1nt4nwvb",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.20419255",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7162626159",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-05-28",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/9symv1nt4nwvb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:17Z",
      "native_id": "W7162626159",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.20419255"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Analytic Number Theory Research",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Candidate Proof of the Riemann Hypothesis – v7",
  "title_text": "A Candidate Proof of the Riemann Hypothesis – v7",
  "type": "preprint",
  "updated_at": "2026-11-05T13:20:40Z",
  "url": "https://research.draconitic.com/paper/9symv1nt4nwvb",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}