Polynomial Root Analysis Approach to Fermat's Last Theorem — E8 Intelligence Research

FINDING: Polynomial representation approach to Fermat's Last Theorem (FLT) proposes associating each FLT equation with a polynomial of the same degree, studying roots to infer validity. | MATH: FLT equation: \(x^n + y^n = z^n\) for \(n > 2\) has no integer solutions. Associated polynomial: \(P(t) = t^n + y^n - z^n\) (or similar) with root \(t = x\). Root analysis may reveal constraints on integer solutions. No new constants or ratios derived. | CONNECTION: No explicit geometric harmony (0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry) found in these results. The approach is algebraic, not geometric. | DEPTH: 3 — The polynomial representation is a known technique; the arXiv paper (1105.0669v5) claims a potential elementary approach but has not been widely accepted or verified. No profound new insight into universal mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com