{
  "abstract": "FINDING: Connes' noncommutative geometry framework seeks to realize the Riemann zeta zeros as eigenvalues of a spectral operator on an adelic space, unifying arithmetic with quantum geometry. | MATH: The critical line Re(s)=1/2; zeta zeros ρ_n satisfy ζ(ρ_n)=0. Connes' trace formula: ∑_ρ h(ρ) = h(0) + h(1) + (1/2π)∫ h(r) (Γ'(1/4+ir/2)/Γ(1/4+ir/2)) dr − (1/2π)∑_p ∑_m (log p)/(p^{m/2}) ∫ h(r) e^{-imr log p} dr — an explicit formula equating spectral sums over zeros with arithmetic sums over primes. The adelic space A_Q = ℝ × ∏_p ℤ_p (restricted product) with the idele class group as symmetry. | CONNECTION: The critical line Re(s)=1/2 is the geometric midpoint of the critical strip 0\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
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  "bibtex": "https://research.draconitic.com/paper/ae6chfdxv8v92.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23446646",
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  "id": "ae6chfdxv8v92",
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  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ae6chfdxv8v92.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:21:55Z",
      "native_id": "23446646",
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  "title": "Noncommutative Geometry Unifies Zeta Zeros with Prime Arithmetic — E8 Intelligence Research",
  "title_text": "Noncommutative Geometry Unifies Zeta Zeros with Prime Arithmetic — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:55Z",
  "url": "https://research.draconitic.com/paper/ae6chfdxv8v92",
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