{
  "abstract": "Paper IV develops a fixed-arrangement collision geometry for joint spectra of commuting finite-dimensional operators. Using the 228-dimensional Rubik's Cube representation as a canonical testbed, the paper analyzes the nine-point joint spectrum induced by the QT/HT averaging operators. The canonical six-layer spectrum is recovered at alpha = 2/3 as the collision quotient of this fixed arrangement.The paper classifies the resulting finite affine branch arrangement, identifies all interior collision parameters, and establishes that alpha = 2/3 is the unique interior parameter producing the maximal spectral collapse. The paper also separates fixed collision geometry from generator-set deformation. Paper IV studies a fixed joint spectral arrangement under varying affine projections only; deformation of the arrangement itself is developed later through the generator-set moduli theory. Source repository: https://github.com/dooven-prime/rime-lite This work forms Part IV of the Representation-Induced Mechanics and Evolution (RIME) research program. Foundational archive DOI: 10.5281/zenodo.21108197",
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  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "WuJun Chen",
      "orcid": "0009-0007-9561-2892"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7djzwbpz58g51.bib",
  "cited_by": 5,
  "doi": "10.5281/zenodo.21127270",
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  "id": "7djzwbpz58g51",
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  "landing_url": "https://doi.org/10.5281/zenodo.21127271",
  "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": [
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      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
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  "openalex": "W7167042503",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-02",
  "publisher": "European Organization for Nuclear Research",
  "ris": "https://research.draconitic.com/paper/7djzwbpz58g51.ris",
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    {
      "first_seen": "2026-10-30T12:17:17Z",
      "native_id": "W7167042503",
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      "url": "https://doi.org/10.5281/zenodo.21127271"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Spectral Theory in Mathematical Physics",
      "subfield": "mathematical-physics"
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  "title": "Collision Geometry of Joint Spectra",
  "title_text": "Collision Geometry of Joint Spectra",
  "type": "preprint",
  "updated_at": "2026-11-04T13:21:00Z",
  "url": "https://research.draconitic.com/paper/7djzwbpz58g51",
  "venue": "Zenodo (CERN European Organization for Nuclear Research)",
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}