Classifying Mathematical Mysteries: Simple Statements, Intractable Depths — E8 Intelligence Research

FINDING: The corpus is a survey of unsolved problems (Collatz, Millennium Problems, Riemann Hypothesis, etc.), not a single discovery. The key structural insight is the *classification* of open problems by their deceptive simplicity vs. intractable depth. | MATH: No new equations. Core recurring constants: Collatz iteration \( T(n) = n/2 \) (even), \( 3n+1 \) (odd); Riemann zeta \( ζ(s)=0 \) non-trivial zeros on \( (s)=1/2 \); Navier–Stokes regularity; Yang–Mills mass gap; P vs NP. | CONNECTION: Weak but present — the Collatz map's orbit structure relates to base-2/3 dynamics (binary/ternary representations), echoing base-60's mixed-radix arithmetic. The Riemann critical line \( (s)=1/2 \) is a symmetry axis, but no golden-ratio or crystallographic link is evidenced. | DEPTH: 3 — these are catalogs, not breakthroughs; the depth lies in the *meta-pattern* that all these problems resist simple geometric or algebraic closure, suggesting the universe's arithmetic is not reducible Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com