{
  "abstract": "We explore a dynamic vacuum energy scenario within the Weyl Integrable Spacetime (WIS) framework and provide the Friedmann--Lema\\^itre (FL) cosmology equations under a metric endowed with a lapse function. We pay particular attention to the implications of inflationary dynamics. We show that the explicit vacuum decay source cancels in the FL acceleration equation, where the Hubble slow-roll parameter is controlled by the non-vacuum sector alone, while the dynamic vacuum defined in proper time $\\Lambda(\\tau)$ itself continues to enter the observables through the expansion rate. We identify the warm inflation (WI) dissipation coefficient with one half of the logarithmic decay rate of the vacuum energy, $\\Upsilon=-\\tfrac{1}{2} d\\ln\\Lambda/d\\tau$, hence the phenomenological friction coefficient is tied to the vacuum sector rather than computed from explicit inflaton--bath microphysics. Notably, we show that the dissipation ratio $(Q)$ is not a free parameter: the cosmological constant hierarchy constrains it through $Q N_{e,\\mathrm I}\\simeq46$, where $N_{e,\\mathrm I}$ is the total number of e-folds of expansion during vacuum decay. For a moderate pre-observable transient, this robustly gives $Q=\\mathcal O(1)$. The graceful exit and the observable parameters are obtained and are in line with cosmological observations. These results indicate that our model is viable and provide a well-posed starting point for a subsequent numerical analysis.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Florian Millo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3bzx7ssnwr2w7.bib",
  "cited_by": 0,
  "doi": "10.1140/epjc/s10052-026-16529-8",
  "fulltext_url": null,
  "id": "3bzx7ssnwr2w7",
  "issns": [
    "1434-6052"
  ],
  "landing_url": "https://hal.science/hal-05802739v1",
  "language": "en",
  "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": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.math.math-mp"
    ],
    [
      "hal",
      "1.phys.grqc"
    ],
    [
      "hal",
      "1.phys.hthe"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7223459202",
  "pdf_url": "https://hal.science/hal-05802739/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": "Springer",
  "ris": "https://research.draconitic.com/paper/3bzx7ssnwr2w7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:58Z",
      "native_id": "hal-05802739",
      "source": "hal",
      "url": "https://hal.science/hal-05802739v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-mp",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "hal:1.phys.grqc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "hal:1.phys.hthe",
      "subfield": "high-energy"
    }
  ],
  "title": "Dynamic Vacuum Energy in Weyl Integrable Spacetime Part I: Implications for Inflationary Cosmology",
  "title_text": "Dynamic Vacuum Energy in Weyl Integrable Spacetime Part I: Implications for Inflationary Cosmology",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:58Z",
  "url": "https://research.draconitic.com/paper/3bzx7ssnwr2w7",
  "venue": "The European Physical Journal: C, Particles and fields",
  "versions": []
}