Polymath Collaboration and AI Accelerate Bounded Prime Gap Breakthroughs — E8 Intelligence Research

FINDING: Polymath collaboration demonstrates that large-scale, decentralized mathematical problem-solving can crack hard problems (e.g., bounded prime gaps), with AI now accelerating experimental mathematics. | MATH: Hₘ := n → ∞ (pₙ₊ₘ - pₙ); twin prime conjecture ⇔ H₁ = 2; Zhang's bound H₁ < 7×10⁷ → Polymath8 reduced to H₁ ≤ 246 (unconditionally), H₁ ≤ 6 under Elliott–Halberstam. | CONNECTION: Prime gaps Hₘ relate to the distribution of primes — a lattice-like structure in N; the reduction process (7e7 → 246) mirrors iterative refinement toward a fixed point, echoing contraction ratios (e.g., 0.618) in convergence, though no explicit golden ratio appears. | DEPTH: 7 — profound for methodology and number theory, but not a new universal constant or symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com