Unsolved Math Problems as Symmetry-Breaking Phenomena — E8 Intelligence Research

Abstract

FINDING: Survey of unsolved problems (Collatz, Riemann Hypothesis, Millennium Problems) reveals no new solved mathematics, but highlights structural invariants (3n+1 dynamics, ζ(s) zeros, P vs NP) as unresolved symmetry-breaking phenomena. | MATH: Collatz map T(n)=n/2 if even, 3n+1 if odd — conjectured to reach 1 for all n; Riemann ζ(s) non-trivial zeros conjectured on Re(s)=1/2; Millennium problems (P≠NP, Navier–Stokes existence, Yang–Mills mass gap, Birch–Swinnerton-Dyer, Hodge conjecture, Poincaré conjecture — solved, Riemann hypothesis). | CONNECTION: The 1/2 critical line of ζ(s) is a geometric bisection — a symmetry axis. Collatz's 3n+1 mixes parity (mod 2) with a factor 3 — a broken 2:3 ratio (0.667, not 0.618). No direct golden ratio, base-60, or crystallographic link in the listed videos' titles/descriptions. | DEPTH: 3 — These are catalogues, not new derivations. The only profound constant is the 1/2 in Riemann's critical line, which is a harmonic bisection (0.500), not a gol Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com