The Ecliptics Triptych

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Autore principale: Antonson, Brent
Natura: Recurso digital
Pubblicazione: Zenodo 2025
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author Antonson, Brent
author_facet Antonson, Brent
contents <p>We assert that this ratio has not yet been identified in classical mathematical literature and offers fertile ground for recursive field theory, symbolic cognition models, and philosophical-mathematical interfaces. I. Ecliptic I-The Spiral Ratio Equation: π → Φ → π Transformation: This ratio forms when one examines the recursive distance between PI and PHI as a function of re-spiraling circular motion. A single rotation (360°) of a recursive spiral that contains the golden ratio results in a geometric feedback loop that returns to the origin in symbolic, but not spatial, symmetry. Interpretation: The spiral is not expansionary, but reflective. It "remembers" PI by arriving at Φ, only to collapse back into π through time compression. </p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_16511060
institution Zenodo
language
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle The Ecliptics Triptych
Antonson, Brent
<p>We assert that this ratio has not yet been identified in classical mathematical literature and offers fertile ground for recursive field theory, symbolic cognition models, and philosophical-mathematical interfaces. I. Ecliptic I-The Spiral Ratio Equation: π → Φ → π Transformation: This ratio forms when one examines the recursive distance between PI and PHI as a function of re-spiraling circular motion. A single rotation (360°) of a recursive spiral that contains the golden ratio results in a geometric feedback loop that returns to the origin in symbolic, but not spatial, symmetry. Interpretation: The spiral is not expansionary, but reflective. It "remembers" PI by arriving at Φ, only to collapse back into π through time compression. </p>
title The Ecliptics Triptych
url https://doi.org/10.5281/zenodo.16511060