LANA Project Formalizes IUT; ABC Conjecture Unresolved, 2026 Interim — E8 Intelligence Research

Abstract

FINDING: The ABC Conjecture remains unresolved globally; Mochizuki's IUT theory is being formalized via the LANA computer-verification project, with interim results due July 2026; no new proof or disproof has emerged. | MATH: ABC conjecture: for ε>0, there exists C(ε) such that for coprime a+b=c, c < C(ε)·rad(abc)^(1+ε). IUT involves inter-universal Teichmüller theory — anabelian geometry, Frobenioids, and Θ-links (multiplicative vs. additive structures). No new constants or ratios reported. | CONNECTION: IUT's core is a "multiradial" symmetry between additive and multiplicative monoids — a structural duality reminiscent of root system duality (e.g., A_n vs. D_n) and the golden-ratio-like tension between addition and multiplication (logarithmic vs. exponential scales). However, no explicit 0.618/1.618 ratio appears in the findings. | DEPTH: 3/10 — This is a status update, not a mathematical discovery. The LANA project is computational verification, not new theory. The knot theory resul Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com