A Catalog of Unsolved Problems in Popular Mathematics Videos — E8 Intelligence Research

FINDING: Survey of unsolved problems (Collatz, Riemann Hypothesis, Navier-Stokes, P vs NP, Goldbach, twin primes, etc.) as presented in popular math videos; no new proof or discovery, but a structured catalog of open conjectures. MATH: Key recurring objects: Collatz map \( T(n) = n/2 \) if even, \( 3n+1 \) if odd; Riemann zeta \( ζ(s) \) zeros on \( (s)=1/2 \); Navier-Stokes regularity; Goldbach \( 2n = p+q \); twin prime gap \( (pₙ₊₁-p_n) = 2 \) (proven bounded by 246, not 2). No new constants or ratios emerge from the videos themselves. CONNECTION: Weak indirect — Collatz dynamics show no obvious modular or harmonic structure; Riemann zeros relate to prime distribution, which connects to \( ζ(s) \) functional equation symmetry \( s ↔ 1-s \) (reflection about \( (s)=1/2 \)) — a symmetry axis, but not a golden-ratio or base-60 link. No crystallographic or root-system structure appears in these expositions. DEPTH: 3/10 — These are educational Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com