{
  "abstract": "FINDING: Polymath collaboration demonstrates that large-scale, decentralized mathematical problem-solving can crack hard problems (e.g., bounded prime gaps), with AI now accelerating experimental mathematics. | MATH: $H_m := \\liminf_{n \\to \\infty} (p_{n+m} - p_n)$; twin prime conjecture ⇔ $H_1 = 2$; Zhang's bound $H_1 < 7\\times10^7$ → Polymath8 reduced to $H_1 \\le 246$ (unconditionally), $H_1 \\le 6$ under Elliott–Halberstam. | CONNECTION: Prime gaps $H_m$ relate to the distribution of primes — a lattice-like structure in $\\mathbb{N}$; the reduction process (7e7 → 246) mirrors iterative refinement toward a fixed point, echoing contraction ratios (e.g., 0.618) in convergence, though no explicit golden ratio appears. | DEPTH: 7 — profound for methodology and number theory, but not a new universal constant or symmetry.\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "affiliations": [
    "Independent Researcher, United Kingdom"
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  "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/05wf33qfjt7rx.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23553748",
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  "id": "05wf33qfjt7rx",
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  "language": "eng",
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  "published": "2026-10-22",
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  "ris": "https://research.draconitic.com/paper/05wf33qfjt7rx.ris",
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      "first_seen": "2026-11-05T12:21:19Z",
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  "title": "Polymath Collaboration and AI Accelerate Bounded Prime Gap Breakthroughs — E8 Intelligence Research",
  "title_text": "Polymath Collaboration and AI Accelerate Bounded Prime Gap Breakthroughs — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:19Z",
  "url": "https://research.draconitic.com/paper/05wf33qfjt7rx",
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