A Catalog of Unsolved Problems in Popular Mathematics Videos — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
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 ℜ(s)=1/2; Navier-Stokes regularity; Goldbach 2n = p+q; twin prime gap liminf (pn+1−pn) = 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 ℜ(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
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BibTeX
@misc{caldin2026catalog,
title = {{A Catalog of Unsolved Problems in Popular Mathematics Videos — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23490928},
url = {https://zenodo.org/records/23490928},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Catalog of Unsolved Problems in Popular Mathematics Videos — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23490928
UR - https://zenodo.org/records/23490928
AB - 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 ℜ(s)=1/2; Navier-Stokes regularity; Goldbach 2n = p+q; twin prime gap liminf (p_n+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 ℜ(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
ER -