{
  "abstract": "Quantum fields on a time-dependent geometry can undergo particle production, but this does not establish a self-amplifying response of the geometry. We study a conditional two-amplitude closure for a signed curvature perturbation and a signed renormalized stress response. The physical assumptions are specified through constrained projection, a low-frequency response expansion, and a stable single-pole approximation; none is asserted to hold for every semiclassical state. A quantitative memory-remainder estimate and a conditional scalar-field example make the scope of this approximation explicit. For the resulting cooperative reaction–diffusion system, a weighted spectral argument identifies the first loss of stability with the homogeneous mode. For the homogeneous cubic completion, a coercive gradient potential proves global existence and convergence to an equilibrium, including asymptotic stability at the critical parameter. We also establish the local spatial bifurcation, distinguish quintic corrections from a degenerate bifurcation, and classify a constant symmetry-breaking perturbation. Renormalization of the cosmological constant, conservation, higher-curvature terms, and the distinction between physical and effective-theory runaway solutions are treated explicitly. The contribution is a response-level diagnostic and its mathematical limitations, rather than a new microscopic theory or an observational cosmological prediction.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics and Education, Universidad a Distancia de Madrid (UDIMA), 28400 Madrid, Spain"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "José Luis Díaz Palencia",
      "orcid": "0000-0002-4677-0970"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4cv5z05q0kbpr.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100735",
  "fulltext_url": null,
  "id": "4cv5z05q0kbpr",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/735",
  "language": null,
  "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",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7171547247",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/4cv5z05q0kbpr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100735",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/735"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "openalex:3103|Cosmology and Gravitation Theories",
      "subfield": "cosmology"
    }
  ],
  "title": "Curvature–Matter Feedback in Semiclassical Cosmology: A Reduced Mathematical Framework for Geometry-Induced Quantum Matter Production",
  "title_text": "Curvature–Matter Feedback in Semiclassical Cosmology: A Reduced Mathematical Framework for Geometry-Induced Quantum Matter Production",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/4cv5z05q0kbpr",
  "venue": "Axioms",
  "versions": []
}