Skip to content
DraconiticResearch
Search Sources API
203,952 studies31 sourcesUpdated 25 min ago
PreprintCC BY 4.0Zenodo

Nodes and Arcs: Integer, Fraction, the Next-Ring Rule and the Rational Substrate

  • Paul Rodgers1
  1. 1University of Kentucky
Open at sourcePDFDOICite

Abstract

The foundational architecture, geometric intuitions, and motivating philosophy of this framework originated independently with the author prior to and separate from any AI involvement. Subsequent mathematical derivation, connection to established physics literature, computational verification, and error-checking were conducted through extended technical work with AI systems (Anthropic’s Claude and Google’s Gemini). The author directed this process, evaluated and selected among proposed derivations, and takes full responsibility for the accuracy and originality of the final work.

Related

  1. Nodes, Arcs and the Reader: A Structural Map of Art and Aesthetics
    Paul Rodgers
    ZenodoPreprintCC BY 4.0Full textZenodo
  2. A minimal model for the Weyl nodes and Fermi arcs of PtBi2
    Tobias Cristófoli, Manuel Alonso Lemos, Jorge I. Facio +1
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  3. Evaluation of a Metaverse-Based Refracture Prevention Education Program for Nurses Applying the ARCS Model: A Quasi-Experimental Study
    Bona Park, Myung Sook Park
    Healthcare (Basel, Switzerland)Peer-reviewedCC BYFull textEurope PMC
  4. Metaheuristic physics-informed extreme-learning machine for initial orbit determination of near-Earth asteroids from too-short arcs
    Congrui He, Kai Tang, Yezhi Song +1
    Astronomy & AstrophysicsPeer-reviewedPublisher termsSolar & stellar physicsCrossref
  5. Ultramafic weathering in tropical volcanic arcs: Geochemistry and inverse modeling of rivers draining the Zambales Ophiolite Complex (ZOC), Philippines
    Manuel Justin Custado, Daniel Enrique Ibarra, Hannah Tompkins +4
    EarthArXivPreprintPublisher termsFull textGeology & geochemistryEarthArXiv

Cite

BibTeXRIS
BibTeX
@misc{rodgers2026nodes,
  title = {{Nodes and Arcs: Integer, Fraction, the Next-Ring Rule and the Rational Substrate}},
  author = {Paul Rodgers},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23607819},
  url = {https://zenodo.org/records/23607819},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nodes and Arcs: Integer, Fraction, the Next-Ring Rule and the Rational Substrate
AU  - Paul Rodgers
PY  - 2026
DA  - 2026/10/24
PB  - Zenodo
DO  - 10.5281/zenodo.23607819
UR  - https://zenodo.org/records/23607819
AB  - The foundational architecture, geometric intuitions, and motivating philosophy of this framework originated independently with the author prior to and separate from any AI involvement. Subsequent mathematical derivation, connection to established physics literature, computational verification, and error-checking were conducted through extended technical work with AI systems (Anthropic’s Claude and Google’s Gemini). The author directed this process, evaluated and selected among proposed derivations, and takes full responsibility for the accuracy and originality of the final work.
ER  -