{
  "abstract": "FINDING: The 3D Ising model's critical exponents are now derived to unprecedented precision via the conformal bootstrap, yielding α ≈ 0.110 (from the hyperscaling relation α = 2 − 3ν, with ν ≈ 0.629971), a non-rational number that emerges from crossing symmetry and unitarity constraints rather than perturbation theory. | MATH: Hyperscaling: α = 2 − Dν (D=3). Bootstrap-derived: ν = 0.629971(4), η = 0.036298(2), Δ_σ = 0.5181489(10), Δ_ε = 1.412625(10). The exponents satisfy the scaling relations: α + 2β + γ = 2, γ = ν(2−η). Key algebraic structure: crossing equations for ⟨σσσσ⟩ and ⟨σσεε⟩ correlators, solved via semidefinite programming (SDPB) with rational approximants to the conformal block functions. | CONNECTION: The critical exponents are not simple rationals, but the bootstrap solution space is constrained by the *golden ratio-adjacent* fixed point structure: the ratio of the two relevant operator dimensions Δ_ε/Δ_σ ≈ 1.412625/0.518149 ≈ 2.726 — no direct golden ratio. However, the\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"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8t65w229yp5va.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23431209",
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  "id": "8t65w229yp5va",
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  "language": "eng",
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  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8t65w229yp5va.ris",
  "sources": [
    {
      "first_seen": "2026-10-31T12:22:03Z",
      "native_id": "23431209",
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      "url": "https://zenodo.org/records/23431209"
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  "subjects": [],
  "title": "Precision Bootstrap Derivation of 3D Ising Critical Exponents via Hyperscaling — E8 Intelligence Research",
  "title_text": "Precision Bootstrap Derivation of 3D Ising Critical Exponents via Hyperscaling — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-31T12:22:03Z",
  "url": "https://research.draconitic.com/paper/8t65w229yp5va",
  "venue": "Zenodo",
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