{
  "abstract": "We investigate slow-roll inflation in a modified cosmological framework inspired by a generalized mass-to-horizon relation (MHR), $M=γ{c^2 L^n}/{G}$, where $n$ is a real parameter and $γ$ a dimensional constant. Using Padmanabhan's emergence paradigm, we derive the modified Friedmann equations for a flat FRW universe and analyze the dynamics of a canonical scalar field (inflaton) under the slow-roll approximation. We study the resulting inflationary phenomenology for power-law and Starobinsky potentials. For power-law potentials, the MHR modification fails to reconcile these models with current CMB constraints on $r$ and $n_s$. In contrast, Starobinsky inflation exhibits significant sensitivity to deviations from $n=1$. A perturbative analysis ($n=1+Δ$) yields corrections to inflationary observables. We observe that the scalar power-spectrum normalization, under a fixed-Starobinsky prescription, imposes the stringent constraint $0.960 \\lesssim n \\lesssim 1.040$ for $N=60$ efolds. This is considerably tighter than spectral-index bounds. Our results establish inflation, particularly Starobinsky-like models, as a sensitive probe of generalized horizon thermodynamics and departures from standard MHR scaling.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11221",
  "author_total": 3,
  "authors": [
    {
      "name": "A. Sheykhi"
    },
    {
      "name": "G. G. Luciano"
    },
    {
      "name": "A. Benkrane"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0a6jnq7jvnq7j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11221",
  "fulltext_url": null,
  "id": "0a6jnq7jvnq7j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11221",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3103|Cosmology and Gravitation Theories"
    ]
  ],
  "openalex": "W7212316794",
  "pdf_url": "https://arxiv.org/pdf/2609.11221",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0a6jnq7jvnq7j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.11221",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11221"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Constraining Modified Mass-to-Horizon Cosmology Through Primordial Inflationary Observables",
  "title_text": "Constraining Modified Mass-to-Horizon Cosmology Through Primordial Inflationary Observables",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/0a6jnq7jvnq7j",
  "venue": "arXiv",
  "versions": []
}