Scattered Educational Videos and One Paper: No Direct Link Found — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Search results are a scattered set of educational videos and one arXiv paper on polynomial root clustering; no direct discovery linking period polynomial roots, modular forms, or golden ratio is present. The arXiv paper (1906.04920) is the only substantive mathematical work, offering near-optimal subdivision algorithms for root isolation in complex regions.
MATH: - No explicit equations or constants extracted from the videos (titles only). - The arXiv paper concerns univariate polynomial P(z) with real/complex coefficients; algorithm complexity is nearly optimal in terms of input size and output (root count in ROI). No specific constants, ratios, or closed forms are given in the abstract. - The cyclotomic polynomial mention (video 4) hints at roots of unity e2π i k/n, but no explicit connection to golden ratio is shown.
CONNECTION: - **None directly supported.** The golden ratio ϕ = 1.618... and its relatives (0.618, 0.382, 0.786, 2.618) do not appear
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026scattered,
title = {{Scattered Educational Videos and One Paper: No Direct Link Found — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23490808},
url = {https://zenodo.org/records/23490808},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Scattered Educational Videos and One Paper: No Direct Link Found — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23490808
UR - https://zenodo.org/records/23490808
AB - FINDING: Search results are a scattered set of educational videos and one arXiv paper on polynomial root clustering; no direct discovery linking period polynomial roots, modular forms, or golden ratio is present. The arXiv paper (1906.04920) is the only substantive mathematical work, offering near-optimal subdivision algorithms for root isolation in complex regions. MATH: - No explicit equations or constants extracted from the videos (titles only). - The arXiv paper concerns univariate polynomial P(z) with real/complex coefficients; algorithm complexity is nearly optimal in terms of input size and output (root count in ROI). No specific constants, ratios, or closed forms are given in the abstract. - The cyclotomic polynomial mention (video 4) hints at roots of unity e^2π i k/n, but no explicit connection to golden ratio is shown. CONNECTION: - **None directly supported.** The golden ratio ϕ = 1.618... and its relatives (0.618, 0.382, 0.786, 2.618) do not appear Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -