Absence of Golden-Ratio Decoherence Factor in Cubic Root Isolation Literature — E8 Intelligence Research
FINDING: Search results are dominated by generic algebra tutorials and a parametric cubic root isolation paper — no direct evidence of a decoherence suppression factor tied to golden ratio or cubic root. | MATH: The only substantive mathematical content is the monic cubic \\(p(x)=x^3+ax^2+bx+c\\) with root isolation intervals expressed via \\(-a\\), \\(-a/3\\), \\(-c/b\\), \\(\\pm\\sqrt{-b}\\) (for \\(b<0\\)), and auxiliary roots. No decoherence formula, no golden ratio, no exponential spatial separation factor appears in any result. | CONNECTION: None supported. The cubic's discriminant \\(\\Delta = a^2b^2 - 4b^3 - 4a^3c - 27c^2 + 18abc\\) and its root structure do not inherently link to 0.618 or 1.618; the golden ratio emerges only if \\(a,b,c\\) are specifically chosen (e.g., \\(x^3-x-1=0\\) has a root \\(\\approx 1.3247\\), not golden). No base-60, no crystallographic symmetry, no lattice connection in the provided abstracts. | DEPTH: 1 — The search query returned irrelevant pedagogical videos and one arX Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-19
- DOI
- https://doi.org/10.5281/zenodo.22841075
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint