Cartan Decomposition of su(N) via Conjugate Partitions: A Rigorous Result Amidst Noisy Search — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The search results are largely noise — YouTube lectures on Feigenbaum constants, Fibonacci computation speed, bioinformatics, Chaitin's Omega, and asymptotic notation — with one substantive mathematical paper on Cartan decomposition of su(N). No direct result on Fibonacci anyons, SU(2) density, or braid group universality appears in the returned set. | MATH: The only rigorous item is the Cartan decomposition scheme for su(N), based on conjugate partitions and quotient algebras generated by a Cartan subalgebra. No explicit equations or constants are given in the abstract. Feigenbaum's constant δ ≈ 4.669201609… is mentioned implicitly via the lecture title, but not derived. Fibonacci numbers F_n = (φ^n − (−φ)^−n)/√5, φ = (1+√5)/2 ≈ 1.618, are referenced only as computational exercises. | CONNECTION: The Cartan decomposition of su(N) is intimately tied to root systems — the Lie algebra su(N) has rank N−1, with roots forming the A_{N−1} lattice, whose Weyl group is the symmetric g
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026cartan,
title = {{Cartan Decomposition of su(N) via Conjugate Partitions: A Rigorous Result Amidst Noisy Search — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635099},
url = {https://zenodo.org/records/23635099},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Cartan Decomposition of su(N) via Conjugate Partitions: A Rigorous Result Amidst Noisy Search — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635099
UR - https://zenodo.org/records/23635099
AB - FINDING: The search results are largely noise — YouTube lectures on Feigenbaum constants, Fibonacci computation speed, bioinformatics, Chaitin's Omega, and asymptotic notation — with one substantive mathematical paper on Cartan decomposition of su(N). No direct result on Fibonacci anyons, SU(2) density, or braid group universality appears in the returned set. | MATH: The only rigorous item is the Cartan decomposition scheme for su(N), based on conjugate partitions and quotient algebras generated by a Cartan subalgebra. No explicit equations or constants are given in the abstract. Feigenbaum's constant δ ≈ 4.669201609… is mentioned implicitly via the lecture title, but not derived. Fibonacci numbers F_n = (φ^n − (−φ)^−n)/√5, φ = (1+√5)/2 ≈ 1.618, are referenced only as computational exercises. | CONNECTION: The Cartan decomposition of su(N) is intimately tied to root systems — the Lie algebra su(N) has rank N−1, with roots forming the A_{N−1} lattice, whose Weyl group is the symmetric g Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -