{
  "abstract": "FINDING: The abc conjecture implies infinitely many non-Fibonacci-Wieferich primes; Wall-Sun-Sun primes (Fibonacci-Wieferich) are conjecturally nonexistent, and their rarity is tied to deep congruences modulo p². | MATH: Wieferich prime condition: 2^(p−1) ≡ 1 (mod p²). Wall-Sun-Sun prime condition: p² | F_p (Fibonacci number at prime index p). abc conjecture (Masser–Oesterlé–Szpiro): for ε>0, rad(abc)^(1+ε) ≥ c_ε·c, where rad(n)=∏_{p|n} p. Key result (arXiv:1511.01210): abc ⇒ infinitely many primes p with p ∤ F_p (non-Fibonacci-Wieferich). Heuristic density: ~log(log x) such primes below x — extremely sparse. | CONNECTION: The Fibonacci sequence itself encodes the golden ratio φ = (1+√5)/2 ≈ 1.618, and its inverse φ⁻¹ ≈ 0.618. The condition p² | F_p links prime structure to the Fibonacci lattice — a 1D projection of the 2D square lattice along slope φ. The abc conjecture's radical function rad(n) is multiplicative over prime factors, echoing the prime lattice of Z — but the Fibonacci-W\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"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/dmk823ykzbdtb.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635565",
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  "id": "dmk823ykzbdtb",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dmk823ykzbdtb.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:52Z",
      "native_id": "23635565",
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  "title": "abc Conjecture Implies Infinite Non-Fibonacci-Wieferich Primes — E8 Intelligence Research",
  "title_text": "abc Conjecture Implies Infinite Non-Fibonacci-Wieferich Primes — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:52Z",
  "url": "https://research.draconitic.com/paper/dmk823ykzbdtb",
  "venue": "Zenodo",
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