Geometry as a Static System A Conceptual Critique of Form, Perspective, and Manifestation
This paper presents a conceptual critique of geometry as a static representational system applied to a dynamic, perspective‑dependent reality. Geometry assumes fixed forms, invariant relationships, and observer‑independent shapes. In contrast, physical existence is adaptive, shifting, and context‑dependent. Through the mechanisms of perspective collapse, scale‑dependent appearance, and a detailed case study of snowflake orientation, the paper argues that “shape” is not an intrinsic property of objects but a manifestation produced by environmental stabilisation and observer perspective. The analysis reframes geometry as a mapping tool rather than a fundamental descriptor of reality and proposes a behaviour‑first ontology in which form emerges only when motion, environment, and perspective align. This work contributes to foundational discussions in physics, philosophy of science, and systems theory.
Authors
- samuel james willoughby (ORCID: https://orcid.org/0009-0005-5792-3361)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-06-18
- DOI
- https://doi.org/10.5281/zenodo.20751160
- Primary Topic
- Philosophy and History of Science
- Type
- preprint