{
  "abstract": "We investigate whether a multiflavor fermionic pregeometric framework can dynamically\n\nselect a single composite tetradic condensate from competing flavor channels. Within a\n\nleading projected ladder/large-N functional-renormalization-group truncation, we analyze a\n\nJ = 2 channel whose dimensionless coupling obeys βg = 4g − ATg2, with AT > 0 under\n\nthe physical transverse-traceless susceptibility prescription adopted in the truncation. The\n\ncorresponding critical separatrix is g∗ = 4/AT. A flavor-dependent splitting permits the win\n\ndow gS > g∗ >gA, so that the flavor singlet reaches the collective instability while a positive\n\nsubcritical adjoint branch remains below criticality. In the bosonized branch considered here,\n\nsinglet criticality is compatible with a nonzero tetradic condensate while the flavor-adjoint\n\ndirections retain positive quadratic curvature, yielding an operationally monometric phase\n\nwithin the truncation. For a Hermitian physical transverse-traceless spin-2 channel with\n\nnonzero spectral support and a well-defined subtracted dispersive representation, Källén\n\nLehmann positivity implies Zdisp\n\nTT > 0. This result fixes only the dispersive contribution;\n\nit does not determine local matching terms, the complete renormalized Planck coefficient,\n\nor the full pole structure of the theory. The construction therefore provides a conditional\n\ndynamical mechanism for selecting a single tetradic background from a multiflavor fermionic\n\nsystem rather than a derivation of complete general relativity. Full Ward identities, local\n\nmatching, torsional dynamics, ghost tests outside the TT sector, and nonlinear completion\n\nremain open problems for subsequent stages of the B-MECG research program",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, Lima, Peru"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Victor Barrantes",
      "orcid": "0009-0000-1661-0135"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/07z0qf3vy44z1.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23556292",
  "fulltext_url": null,
  "id": "07z0qf3vy44z1",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23556292",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23556292/files/B_MECG_v1_0_FINAL_EN.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/07z0qf3vy44z1.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:20:43Z",
      "native_id": "23556292",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23556292"
    }
  ],
  "subjects": [],
  "title": "Flavor-Singlet Tetrad Condensation and Monometric Emergent Geometry: A Large-N Functional-RG Framework",
  "title_text": "Flavor-Singlet Tetrad Condensation and Monometric Emergent Geometry: A Large-N Functional-RG Framework",
  "type": "preprint",
  "updated_at": "2026-11-05T12:20:43Z",
  "url": "https://research.draconitic.com/paper/07z0qf3vy44z1",
  "venue": "Zenodo",
  "versions": []
}