{
  "abstract": "We examine a minimal helical ansatz for microscopic spatial structure in which a primitive transverse radius is calibrated from the measured gravitational constant and the helix shape is subsequently fixed by a one-cycle phase-closure condition. The construction originates in the broader Emergent Frame (TEF) proposal, which treats spacetime as an emergent physical entity rather than a structureless pre-existing background, but the present paper is deliberately restricted to one concrete geometry and its quantitative consequence. Inspired mathematically by Euler's representation of planar rotation, a spatial line is modeled as a right-handed helix with radius R, axial advance per radian a, and dimensionless pitch ratio q = a/R = tan beta. A gravity-geometry calibration relation, using G as an empirical input, gives R_G = sqrt(hG/(8 pi c^3)) = l_P/2. The model then distinguishes the axial extension generated in one turn from the helical arc length traversed internally: the former sets the cycle energy through the gravitational line-tension scale c^4/G, while the latter sets the cycle time. Requiring one complete primitive cycle to close its quantum phase, E_cyc T_cyc/hbar = 2 pi, yields q sqrt(1 + q^2) = 2/pi, so that q approximately 0.556324, beta_G approximately 29.088 degrees, and sin^2(beta_G) approximately 0.236348. No electroweak observable enters this calculation. The resulting angle is therefore proposed only as a candidate primitive geometric reference for weak mixing, not as a completed derivation of the Weinberg angle. Its numerical proximity to the observed running weak-mixing parameter is presented as the reason this otherwise speculative spacetime ansatz merits further quantitative investigation.Release note: TEF Research Release 2026-001, version 5.1. This is a publicly released preprint and has not undergone peer review. Project website: https://theemergentframe.org",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Xiaodan Wu",
      "orcid": "0000-0003-4602-502X"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5s5cpsmhx4t50.bib",
  "cited_by": 6,
  "doi": "10.5281/zenodo.22100999",
  "fulltext_url": null,
  "id": "5s5cpsmhx4t50",
  "issns": [],
  "landing_url": "https://doi.org/10.5281/zenodo.22100999",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3109|Noncommutative and Quantum Gravity Theories"
    ]
  ],
  "openalex": "W7204191382",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-21",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/5s5cpsmhx4t50.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:26:43Z",
      "native_id": "W7204191382",
      "source": "openalex",
      "url": "https://doi.org/10.5281/zenodo.22100999"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3109|Noncommutative and Quantum Gravity Theories",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A Helical Spacetime Ansatz Linking the Planck Scale and Electroweak Mixing",
  "title_text": "A Helical Spacetime Ansatz Linking the Planck Scale and Electroweak Mixing",
  "type": "preprint",
  "updated_at": "2026-11-03T13:20:27Z",
  "url": "https://research.draconitic.com/paper/5s5cpsmhx4t50",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
  "versions": []
}