ABC Conjecture Formal Verification Links to Non-Fibonacci-Wieferich Primes — E8 Intelligence Research

FINDING: ABC conjecture remains unverified; Mochizuki's proof contested; LANA project attempts formal verification; new heuristic links ABC to non-Fibonacci-Wieferich primes. | MATH: ABC conjecture: For any ε > 0, there exists C(ε) such that for all coprime integers a, b, c with a + b = c, rad(abc)^(1+ε) > c, where rad(n) = product of distinct primes dividing n. Wall's Conjecture: p^2 ∤ F_{p - (p|5)} for prime p (F_n Fibonacci). Heuristic: number of non-Fibonacci-Wieferich primes below X ~ log log X. | CONNECTION: No direct geometric ratios (0.382, 0.618, etc.) or crystallographic symmetries appear. The Fibonacci link touches the golden ratio (φ ≈ 1.618) but only via prime-indexed Fibonacci numbers, not a harmonic ratio. No base-60 or lattice structure. | DEPTH: 4 — The ABC conjecture is profound (depth 9-10 if proven), but this finding is a status update with a minor heuristic extension, not a breakthrough. The Wieferich-Fibonacci connection is niche. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com