Hilbert's Sixth Problem, AI Rediscoveries, and Multi-Agent Benchmarks: 2025–2026 Progress — E8 Intelligence Research

FINDING: 2025–2026 progress is dominated by (a) a major case of Hilbert's 6th problem (axiomatization of physics), (b) AI-assisted "solutions" that are actually rediscoveries of existing results, and (c) benchmark competitions for multi-agent systems — no new fundamental constants or novel harmonic ratios emerge from these sources. | MATH: Hilbert's 6th problem — formal derivation of macroscopic physical laws (e.g., Navier–Stokes, Boltzmann equation) from microscopic dynamics via rigorous limits (e.g., Boltzmann–Grad limit, scaling exponents like \(ε → 0\), \(N → ∞\) with \(Nεᵈ⁻¹ → const\)). AI "solutions" = pattern matching to known theorems; no new equations. MOASEI 2026 = algorithmic benchmarks, no mathematical invariants. | CONNECTION: None directly stated. However, Hilbert's 6th problem's rigorous derivation of continuum limits often involves lattice structures (e.g., discrete velocity models, crystallographic lattices for kinetic theory) and sca Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com