Survey of "Impossible" Problems Yields No New Math, Only Known Conjectures — E8 Intelligence Research

FINDING: Survey of "impossible" problems reveals no new mathematical discovery — only known open problems (Collatz, Riemann Hypothesis) and a classical optimization problem (Zermelo navigation) with a proposed quantum-annealing classical solution. | MATH: Collatz map: \(T(n) = n/2\) if even, \(3n+1\) if odd; Riemann Hypothesis: \(\zeta(s)=0 \Rightarrow \Re(s)=1/2\); Zermelo: minimize \(\int_0^T \|\dot{\mathbf{x}} - \mathbf{v}(\mathbf{x},t)\| \, dt\) subject to vessel speed bound. | CONNECTION: None directly — Collatz has no known geometric ratio; Riemann zeta zeros relate to prime distribution (no harmonic ratio); Zermelo problem involves geodesics in a flow field (curvature, but no golden-ratio or crystallographic link). | DEPTH: 2 — These are well-known, not new findings; the only novel item (Zermelo via Landau-Zener) is a computational technique, not a mathematical constant or symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-25
DOI
https://doi.org/10.5281/zenodo.22090779
Primary Topic
Benford’s Law and Fraud Detection
Type
preprint
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preprint

Survey of "Impossible" Problems Yields No New Math, Only Known Conjectures — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
preprint

Survey of "Impossible" Problems Yields No New Math, Only Known Conjectures — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Survey of "impossible" problems reveals no new mathematical discovery — only known open problems (Collatz, Riemann Hypothesis) and a classical optimization problem (Zermelo navigation) with a proposed quantum-annealing classical solution. | MATH: Collatz map: \(T(n) = n/2\) if even, \(3n+1\) if odd; Riemann Hypothesis: \(\zeta(s)=0 \Rightarrow \Re(s)=1/2\); Zermelo: minimize \(\int_0^T \|\dot{\mathbf{x}} - \mathbf{v}(\mathbf{x},t)\| \, dt\) subject to vessel speed bound. | CONNECTION: None directly — Collatz has no known geometric ratio; Riemann zeta zeros relate to prime distribution (no harmonic ratio); Zermelo problem involves geodesics in a flow field (curvature, but no golden-ratio or crystallographic link). | DEPTH: 2 — These are well-known, not new findings; the only novel item (Zermelo via Landau-Zener) is a computational technique, not a mathematical constant or symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
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