Polymath and AI Reshape Mathematical Discovery, Prime Gap Proofs Accelerate — E8 Intelligence Research

FINDING: Polymath collaboration accelerates proofs (e.g., bounded prime gaps) and AI is shifting mathematical practice toward experimental, collaborative discovery. | MATH: \(H_m := n → ∞ (pₙ₊ₘ - p_n)\); twin prime conjecture ⇔ \(H_1 = 2\). Zhang's breakthrough gave finite bound on \(H_1\); Polymath reduced it to \(H_1 ≤ 246\) (and \(H_1 ≤ 6\) under Elliott–Halberstam). No new constants or ratios appear in these results. | CONNECTION: None directly. Prime gaps are arithmetic, not geometric. However, the collaborative process itself mirrors lattice symmetry — many independent agents acting on a shared structure, producing emergent order (a meta‑mathematical analogy, not a mathematical one). The "Golden Square" episode title is a red herring; no evidence of φ or base‑60 in the findings. | DEPTH: 6 — The Polymath method is a profound meta‑discovery about how mathematics is done (crowdsourced proof verification), and the prime gap results are deep analytic number th Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com