Hilbert's 6th Problem and AI Proof Discovery Dominate 2025–2026 Progress — E8 Intelligence Research

FINDING: 2025–2026 progress is dominated by Hilbert's 6th problem (axiomatization of physics) and AI-assisted proof discovery (OpenAI Astra solving 10 open problems), but no new universal constants or geometric ratios are reported in the provided sources. | MATH: Hilbert's 6th problem — formal axiomatization of statistical mechanics/quantum field theory; AI proof search — no specific equations given in the search results. | CONNECTION: None directly stated; however, Hilbert's 6th problem historically connects to lattice models (Ising, Potts) whose partition functions exhibit critical exponents related to 0.618 (golden ratio) in 2D Ising (β=1/8, but correlation length exponent ν=1 exactly; golden ratio appears in 3D Ising via ε-expansion at ε=1: ν≈0.63, close to 0.618). | DEPTH: 3 — the findings are meta-mathematical (progress announcements) rather than new mathematical content; no equations, constants, or ratios are extractable from the given text. The MOASEI report is AI-agent benchma Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23179610
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Hilbert's 6th Problem and AI Proof Discovery Dominate 2025–2026 Progress — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Hilbert's 6th Problem and AI Proof Discovery Dominate 2025–2026 Progress — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: 2025–2026 progress is dominated by Hilbert's 6th problem (axiomatization of physics) and AI-assisted proof discovery (OpenAI Astra solving 10 open problems), but no new universal constants or geometric ratios are reported in the provided sources. | MATH: Hilbert's 6th problem — formal axiomatization of statistical mechanics/quantum field theory; AI proof search — no specific equations given in the search results. | CONNECTION: None directly stated; however, Hilbert's 6th problem historically connects to lattice models (Ising, Potts) whose partition functions exhibit critical exponents related to 0.618 (golden ratio) in 2D Ising (β=1/8, but correlation length exponent ν=1 exactly; golden ratio appears in 3D Ising via ε-expansion at ε=1: ν≈0.63, close to 0.618). | DEPTH: 3 — the findings are meta-mathematical (progress announcements) rather than new mathematical content; no equations, constants, or ratios are extractable from the given text. The MOASEI report is AI-agent benchma Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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Hilbert's 6th Problem and AI Proof Discovery Dominate 2025–2026 Progress — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS