{
  "abstract": "FINDING: Entanglement formation time measured in attoseconds; hybrid quantum circuits show universal statistical laws via random-matrix theory. | MATH: Attosecond scale = 10⁻¹⁸ s; entanglement entropy growth follows S(t) ~ t (linear) for volume-law phases, S(t) ~ log(t) for area-law phases; random-matrix ensembles (GUE/GOE/GSE) with spectral statistics governed by Wigner-Dyson distributions; hybrid circuits parameterized by measurement rate p with phase transition at critical p_c. | CONNECTION: Random-matrix universality classes map to Dyson's threefold way — orthogonal (β=1), unitary (β=2), symplectic (β=4) — which correspond to root systems of Lie algebras (A_n, B_n/C_n, D_n) and crystallographic reflection groups. The critical measurement rate p_c in hybrid circuits often emerges near values consistent with percolation thresholds on lattices (e.g., p_c ≈ 0.5 for 1D, related to golden ratio conjugates in some mappings). | DEPTH: 7 — solid mathematical structure (RMT, phase transition\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/cy388tssbzh0t.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23587144",
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  "id": "cy388tssbzh0t",
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  "landing_url": "https://zenodo.org/records/23587144",
  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cy388tssbzh0t.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:21:52Z",
      "native_id": "23587144",
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  "title": "Attosecond Entanglement Dynamics and Universal Statistics in Hybrid Quantum Circuits — E8 Intelligence Research",
  "title_text": "Attosecond Entanglement Dynamics and Universal Statistics in Hybrid Quantum Circuits — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:52Z",
  "url": "https://research.draconitic.com/paper/cy388tssbzh0t",
  "venue": "Zenodo",
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}