A Taxonomy of Structural Barriers Across Major Open Problems — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: The corpus is a survey of open problems (Collatz, Riemann Hypothesis, P vs NP, Navier–Stokes, Birch–Swinnerton-Dyer, etc.) — no single new proof, but a taxonomy of structural barriers. | MATH: Collatz map T(n)=n/2 if even, 3n+1 if odd; Riemann ζ(s) zeros on Re(s)=1/2; Navier–Stokes regularity; Yang–Mills mass gap; BSD rank–L-function order. | CONNECTION: Collatz dynamics exhibit a 3-adic scaling symmetry (×3, ÷2) — a non-Archimedean lattice; Riemann zeros align with a 1D quasi-crystal (Montgomery–Odlyzko), echoing base-60 periodicity in modular forms; BSD links elliptic curve torsion (crystallographic point groups) to L-function zeros. | DEPTH: 6 — breadth over depth; the only concrete ratio emerges in Collatz's logarithmic drift (≈0.5 per step), not the golden section. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204181448
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