Tsirelson Bounds via Geometric Algebra: CHSH Violation Ratio √2 — E8 Intelligence Research
FINDING: The only substantive result is the arXiv paper on Tsirelson bounds derived via geometric algebra — the rest are unrelated video titles (Python, lab software, condensed matter talks) with no mathematical content. | MATH: The paper (arXiv:2007.05301v3) re-derives the CHSH inequality and its quantum violation using geometric (Clifford) algebra. Key constants: classical CHSH bound = 2; quantum Tsirelson bound = 2√2 ≈ 2.828. The violation ratio is √2. No explicit golden-ratio or base-60 constants appear in the abstract. | CONNECTION: The Tsirelson bound 2√2 relates to the octonionic/E8 structure only if the paper explicitly links geometric algebra to root systems — the abstract does not state this. However, 2√2 = √(2·2) and its square = 8, which is the dimension of the octonions and the rank of E8. The ratio √2 is a crystallographic symmetry element (rotation by 45° in 2D, and appears in the Weyl group of B2/C2). No 0.382, 0.618, 0.786, 1.618, or 2.618 appear in the evidence. | DEP Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-30
- DOI
- https://doi.org/10.5281/zenodo.23052316
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- preprint