Educational Videos on the Seven Millennium Prize Problems — E8 Intelligence Research

FINDING: No new mathematical solutions or breakthroughs; the results are explanatory videos and historical lectures on the seven Clay Millennium Problems (P vs NP, Hodge, Poincaré, Riemann, Yang-Mills, Navier-Stokes, Birch-Swinnerton-Dyer). | MATH: No new equations, constants, or ratios derived. The problems themselves involve: Riemann zeta function ζ(s)=0 (nontrivial zeros on Re(s)=1/2); Yang-Mills mass gap (ΔE>0); Navier-Stokes regularity (||u||_L∞ < ∞ for all t); Birch-Swinnerton-Dyer (L(E,1)=0 ⇔ rank(E)>0); Hodge (de Rham cohomology H^k(X,ℚ) decomposition); P vs NP (deterministic vs nondeterministic polynomial time). | CONNECTION: Indirect — Riemann zeros relate to prime distribution (logarithmic spiral density); Yang-Mills gauge groups (SU(3)×SU(2)×U(1)) are root systems of Lie algebras (A₂, B₂, G₂) with crystallographic symmetries; Hodge structures relate to Kähler manifolds with SU(n) holonomy; Birch-Swinnerton-Dyer involves elliptic curves (torus topology, modular forms with SL 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
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22105925
Primary Topic
Analytic Number Theory Research
Type
preprint
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Educational Videos on the Seven Millennium Prize Problems — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Educational Videos on the Seven Millennium Prize Problems — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: No new mathematical solutions or breakthroughs; the results are explanatory videos and historical lectures on the seven Clay Millennium Problems (P vs NP, Hodge, Poincaré, Riemann, Yang-Mills, Navier-Stokes, Birch-Swinnerton-Dyer). | MATH: No new equations, constants, or ratios derived. The problems themselves involve: Riemann zeta function ζ(s)=0 (nontrivial zeros on Re(s)=1/2); Yang-Mills mass gap (ΔE>0); Navier-Stokes regularity (||u||_L∞ < ∞ for all t); Birch-Swinnerton-Dyer (L(E,1)=0 ⇔ rank(E)>0); Hodge (de Rham cohomology H^k(X,ℚ) decomposition); P vs NP (deterministic vs nondeterministic polynomial time). | CONNECTION: Indirect — Riemann zeros relate to prime distribution (logarithmic spiral density); Yang-Mills gauge groups (SU(3)×SU(2)×U(1)) are root systems of Lie algebras (A₂, B₂, G₂) with crystallographic symmetries; Hodge structures relate to Kähler manifolds with SU(n) holonomy; Birch-Swinnerton-Dyer involves elliptic curves (torus topology, modular forms with SL Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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Educational Videos on the Seven Millennium Prize Problems — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS