{
  "abstract": "Research Title: Separating Visual Perspective from Earth's Curvature: A Geometric Study of the Apparent Horizon\n\nAuthor: Sami Ullah\n\nAbstract\n\nThis preliminary theoretical study investigates the relationship between Earth's curvature, visual perspective, and the apparent horizon. The research originated from a personal observation made in 2024 concerning why distant objects appear progressively smaller and why the ground seems to meet the sky at the horizon.\n\nThe manuscript examines these observations using established principles of geometric optics, angular size, spherical geometry, and line-of-sight tangency. It distinguishes the reduction in apparent object size caused by perspective from the geometric limitations on visibility caused by Earth's curvature.\n\nMathematical relationships are used to illustrate how observer height affects geometric horizon distance and how an object's angular size changes with distance. The study also propose",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Sami Ullah"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f8n43vztm0p3g.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23614707",
  "fulltext_url": null,
  "id": "f8n43vztm0p3g",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23614707",
  "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": null,
  "pdf_url": "https://zenodo.org/api/records/23614707/files/Sami_Ullah_Physics_Academic_Manuscript_.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f8n43vztm0p3g.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T12:20:41Z",
      "native_id": "23614707",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23614707"
    }
  ],
  "subjects": [],
  "title": "Separating Visual Perspective from Earth's Curvature: A Geometric Study of the Apparent Horizon",
  "title_text": "Separating Visual Perspective from Earth's Curvature: A Geometric Study of the Apparent Horizon",
  "type": "preprint",
  "updated_at": "2026-11-07T12:20:41Z",
  "url": "https://research.draconitic.com/paper/f8n43vztm0p3g",
  "venue": "Zenodo",
  "versions": []
}