LANA Project: Computational Verification of IUT Theory for abc Conjecture — E8 Intelligence Research

FINDING: LANA project is a computational verification effort for the IUT theory (Inter-universal Teichmüller theory) underpinning Mochizuki's claimed proof of the abc conjecture; no new mathematical result is presented in these sources, only process updates and expository summaries. | MATH: The abc conjecture itself: for any ε > 0, there exists C(ε) such that for coprime positive integers a, b, c with a + b = c, we have c < C(ε) · rad(abc)^(1+ε), where rad(n) = ∏p|n p. The Szpiro ratio σ = log(c) / log(rad(abc)) is the operative constant; the conjecture implies σ < 1 + ε for all but finitely many triples. The IUT theory involves Hodge–Arakelov-theoretic evaluation, étale theta functions, and log-volume estimates — the key numerical output is a bound on the "log-volume" of a certain arithmetic line bundle, which yields the abc inequality with an explicit constant. | CONNECTION: The Szpiro ratio σ = log(c)/log(rad(abc)) is a logarithmic ratio — its critical threshold σ = 1 is the boun Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com