{
  "abstract": "We identify the complete set of fundamental building blocks for a 4D pre-geometric theory of gravity. Based on a gauge theory of $SO(1,4)$ or $SO(2,3)$ coupled to a Higgs-like field under the rigid constraint of general covariance in the unbroken phase, these building blocks - $\\mathcal{L}_\\text{MM}$, $\\mathcal{L}_\\text{W}$, $\\mathcal{L}_{J}$, $\\mathcal{L}_θ$ and $\\mathcal{L}_\\vartheta$ - constitute the minimal generating set of independent field monomials from which any pre-geometric action, including arbitrary functionals thereof, can be constructed. While the most general pre-geometric theory can extend beyond linear combinations, these five irreducible invariants serve as the 'atomic' constituents of all possible pre-geometric dynamics. Upon spontaneous symmetry breaking, they collectively generate an emergent gravitational theory consisting of the Einstein-Hilbert action, the cosmological constant term and all 4D topological invariants: the Gauss-Bonnet, Pontryagin, Holst and Nieh-Yan terms. The unification of gravity's dynamical and topological sectors from a common pre-geometric source represents the central result of this work. We also uncover a see-saw mechanism linking the Planck mass and the cosmological constant, as well as several novel relations for the coupling constants of the topological sector, inclusive of the Barbero-Immirzi parameter. This framework establishes the pre-geometric foundations from which all aspects of gravitation can dynamically emerge, providing a unified starting point for quantum gravity, dark energy phenomenology and the study of topological phases in gravitational theories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10619",
  "author_total": 2,
  "authors": [
    {
      "name": "Andrea Addazi"
    },
    {
      "name": "Giuseppe Meluccio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dasphds9fap60.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10619",
  "fulltext_url": null,
  "id": "dasphds9fap60",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10619",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.10619",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dasphds9fap60.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.10619",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10619"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Emergence of Gravity's Dynamical and Topological Sectors from Pre-geometry",
  "title_text": "Emergence of Gravity's Dynamical and Topological Sectors from Pre-geometry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/dasphds9fap60",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/fytf-m83r",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}