{
  "abstract": "We discuss how an observer root determines the organization of received records and the associated native reference representation in an observer-relative spacetime framework. Under this framework, data received on Earth should, in principle, be organized first in the Earth-rooted observer spacetime. The one-dimensional increment calculation considered here has a well-defined output within its declared reduction: a model-level scalar slice on a selected Earth-centered line, whose samples carry Galactocentric radial labels. The line lies at a fixed height \\(z_E\\) and coincides with the Galactic midplane only when \\(z_E=0\\). The output is not a confused result or a validated three-dimensional field solution. Rather, the mismatch arises only if that scalar output is inserted directly into a Galactic rotation-curve formula as though it were already the signed radial field component and kinematic data defined relative to the Galactic center. The fixed-root conversion from Earth reference data to Galactic-adapted field and kinematic data has not yet been completed inside the Earth observer spacetime. A coordinate change within one Earth-rooted spacetime and a change of observer root are distinct operations. The former requires a well-defined event map and the appropriate tensor or frame transformation; comparing distinct events may additionally require a declared transport rule, and reconstructing fields from observational records requires its own field and closure model. Changing the root, by contrast, requires target-root closure. We state these requirements and identify the roles of *Modified Gravity Theory I: Receiver-Rooted Causal Order and Historical Closure*, *Modified Gravity Theory II: Observer-Relative Foundations, Root Observers, Physical Path Categories, Observation Functors, Fixed-Root Closure, Categorical Spacetime, Root-Owned Nerves, Simplicial Chains, Twisted Transport, Homological Obstructions, and Conditional Cross-Root Descent*, and *A Spacetime Model for the Matter Common-State Conjecture under Causal Ordering*. The paper does not perform the full Earth-to-Galactic-center reconstruction or a three-dimensional active-frame calculation. A Galactocentric-coordinate one-dimensional computation is therefore described only as an auxiliary diagnostic whose variables align more directly with the rotation-curve question; the complete numerical work is left for follow-up computational physics.\n\n**Keywords**\n\nobserver root; observer spacetime; native reference coordinates; Galactic rotation curve; one-dimensional field reduction; active-frame reconstruction",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Kianming Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9sh195p0f54m6.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23456736",
  "fulltext_url": null,
  "id": "9sh195p0f54m6",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23456736",
  "language": "eng",
  "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/23456736/files/EARTH-ROOTED-RECEIVER-OBSERVER.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9sh195p0f54m6.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:20:59Z",
      "native_id": "23456736",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23456736"
    }
  ],
  "subjects": [],
  "title": "On the Relation between Observer Spacetimes and Native Reference Coordinates",
  "title_text": "On the Relation between Observer Spacetimes and Native Reference Coordinates",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:59Z",
  "url": "https://research.draconitic.com/paper/9sh195p0f54m6",
  "venue": "Zenodo",
  "versions": []
}