The LANA Project: Verifying IUT and the Contested ABC Conjecture Proof — E8 Intelligence Research

Q: What does this research mean for the field?

The LANA Project is a computer-verification effort for Mochizuki's Inter-universal Teichmüller Theory (IUT), whose proof of the ABC Conjecture remains globally contested. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22105940

August 26, 2026Open Access

The LANA Project: Verifying IUT and the Contested ABC Conjecture Proof — E8 Intelligence Research

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Key Points

To formally evaluate and verify Shinichi Mochizuki's Inter-universal Teichmüller Theory using automated computer proof verification to assess the validity of the claimed ABC Conjecture proof.
Implemented computer verification algorithms through the LANA Project to formalize Inter-universal Teichmüller Theory.
Evaluated deformations of number fields using Hodge–Arakelov theory, Frobenioids, multiradial encodings, and comparisons between the Θ-pilot and q-pilot.
The proof status of the ABC Conjecture remains deeply contested, characterized by acceptance within Japan but persistent skepticism among the wider international mathematics community through 2025–2026.
The theoretical mechanism bounds the log-volume of the q-pilot relative to the Θ-pilot to generate an effective ABC inequality, without establishing new explicit constants or numerical ratios.

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Implication

Formal verification analysis uncovers computer validation of Mochizuki's theory in arithmetic geometry, highlighting unresolved global consensus surrounding the ABC Conjecture proof.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a91467bd15324a1df3aa1f4 https://doi.org/10.5281/zenodo.22105940

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The LANA Project: Verifying IUT and the Contested ABC Conjecture Proof — E8 Intelligence Research

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The LANA Project: Verifying IUT and the Contested ABC Conjecture Proof — E8 Intelligence Research

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