The LANA Project: Verifying IUT and the Contested ABC Conjecture Proof — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: The LANA Project is a computer-verification effort for Mochizuki's Inter-universal Teichmüller Theory (IUT), which underpins his claimed proof of the ABC Conjecture; status remains contested, with Japan's acceptance vs. global skepticism unresolved as of 2025–2026. | MATH: ABC Conjecture: for any ε>0, there exists C(ε) such that for coprime a+b=c, rad(abc)^(1+ε) > c. IUT involves Hodge–Arakelov theory, Frobenioids, and Θ-pilot/ q-pilot comparisons; key numerical output is a bound on the "log-volume" of the q-pilot relative to the Θ-pilot, yielding an effective ABC inequality. No new explicit constants or ratios are given in the sources. | CONNECTION: IUT's core is a deformation of number fields via "alien arithmetic holomorphic structures" — conceptually analogous to crystallographic symmetry breaking (e.g., moving between distinct lattice bases in a root system like A₂ or E₈). The "multiradial" encoding of Θ-values involves a 6-fold symmetry (anabelian geometry's S₃ and Galoi Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204228942
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