Dynamic Generation of the SU(n) Hierarchy from χ = 616

This work demonstrates that the entire hierarchy of special unitary groups SU(n) is generated by a single fundamental parameter χ = 616. A unique fourth-degree polynomial is proven to exist: n(k) = (69/8)k⁴ - (777/25)k³ + (63/8)k² + (2029/50)k with rational coefficients that reproduce all key groups of the hierarchy:SU(7) → SU(0) → SU(26) → SU(2) → SU(52) → SU(507) → SU(1905) → ... Key results:- All polynomial coefficients are exact rational fractions, indicating the discrete arithmetic nature of the hierarchy- Connections are found between coefficients and Fibonacci numbers: 63 = 3 × F₈- Approximate identities connect coefficients to χ = 616 and φ = (1+√5)/2- The canonical chain is established: χ ↔ SU(26) ↔ n(1) = 26 ↔ n(k) ↔ the entire hierarchy- χ acts as a dynamic parameter that fixes the entire infinite hierarchy of gauge groups This work is the second part of the Σ-Ω⁴ Omega Unified Physics trilogy. Contents:- dynamic_hierarchy_article_ru.pdf — Russian version- dynamic_hierarchy_article_en.pdf — English version- dynamic_hierarchy_article_ru.tex — LaTeX source (RU)- dynamic_hierarchy_article_en.tex — LaTeX source (EN)- DYNAMIC HIERARCHY GENERATION.py — Python implementation- dynamic_hierarchy_results.json — Complete analysis results License: Universal Academic Licence v1.0 (UAL-v1.0)Commercial use prohibited without author's written permission. Related work:- SU(0) Operator: Projection onto the Energy-Vacuum Condensate DOI: 10.5281/zenodo.20855845