Pedagogical Videos on Leech Lattice and Spectral Graph Theory, No Novel Theorem — E8 Intelligence Research

FINDING: The search results are mostly pedagogical videos (SRG eigenvalues, Leech lattice construction, linear algebra projections, spectral graph theory, norm basics) — no primary research paper or novel theorem is presented. The only substantive mathematical anchor is the Leech lattice construction video and the SRG eigenvalue characterization video. MATH: - Leech lattice Λ₂₄: even unimodular lattice in ℝ²⁴, minimal norm 4 (i.e., shortest nonzero vector has squared length 4). Its kissing number is 196,560. - Strongly regular graph (v, k, λ, μ): eigenvalues are k (trivial) and the two roots of x² − (λ−μ)x − (k−μ) = 0, i.e., r, s = [(λ−μ) ± √((λ−μ)² + 4(k−μ))]/2, with multiplicities determined by v, k, r, s. - Projection of a vector onto a subspace: P = A(AᵀA)⁻¹Aᵀ, norm preservation ∥Pv∥ ≤ ∥v∥. CONNECTION: - The Leech lattice is deeply tied to the Golay code (binary [24,12,8] code), which has weight enumerator involving 0, 8, 12, 16, 24 — and its automorphism group is Con 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23358586
Primary Topic
Finite Group Theory Research
Type
preprint
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preprint

Pedagogical Videos on Leech Lattice and Spectral Graph Theory, No Novel Theorem — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Finite Group Theory Research
preprint

Pedagogical Videos on Leech Lattice and Spectral Graph Theory, No Novel Theorem — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are mostly pedagogical videos (SRG eigenvalues, Leech lattice construction, linear algebra projections, spectral graph theory, norm basics) — no primary research paper or novel theorem is presented. The only substantive mathematical anchor is the Leech lattice construction video and the SRG eigenvalue characterization video. MATH: - Leech lattice Λ₂₄: even unimodular lattice in ℝ²⁴, minimal norm 4 (i.e., shortest nonzero vector has squared length 4). Its kissing number is 196,560. - Strongly regular graph (v, k, λ, μ): eigenvalues are k (trivial) and the two roots of x² − (λ−μ)x − (k−μ) = 0, i.e., r, s = [(λ−μ) ± √((λ−μ)² + 4(k−μ))]/2, with multiplicities determined by v, k, r, s. - Projection of a vector onto a subspace: P = A(AᵀA)⁻¹Aᵀ, norm preservation ∥Pv∥ ≤ ∥v∥. CONNECTION: - The Leech lattice is deeply tied to the Golay code (binary [24,12,8] code), which has weight enumerator involving 0, 8, 12, 16, 24 — and its automorphism group is Con Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Finite Group Theory Research
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