The Unproven ABC Conjecture: Mochizuki's Contested Proof and Verification Efforts — E8 Intelligence Research

Abstract

FINDING: The ABC conjecture remains unproven; Mochizuki's 500-page proof is contested, with Faltings expressing skepticism, while the LANA project attempts formal verification. | MATH: ABC conjecture: For ε>0, there exists C(ε) such that for coprime a+b=c, c < C(ε)·rad(abc)^(1+ε). Equivalent to Szpiro's conjecture: discriminant Δ ≤ C·(rad(Δ))^(6+ε) for elliptic curves. No new constants or ratios emerge from these sources. | CONNECTION: None found — no explicit geometric ratios, base-60, or crystallographic symmetries appear in the search results. The conjecture itself relates to radical (product of distinct primes), which has multiplicative structure but no direct golden-ratio or lattice link. | DEPTH: 3 — The finding is about proof status, not new mathematics. The conjecture's depth is high (it implies Fermat's Last Theorem, Mordell, and Szpiro), but the search results add no new equations or constants. The LANA project's formal verification is a meta-mathematical advance, not a mathe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com