Deriving Tokamak Stability Limits from Geometric First Principles: The ΞĐ (Seeth) Framework Applied to Plasma Confinement

Summary of Troyon derivation and shaping predictions Introduction — Context on fusion, Troyon limit, and ΞĐ framework DSO Framework — Mapping to plasma physics (E, D, Ω, O) 7D Geometric Encoding — Full GDBS dimension table and stability query methodology Results: Troyon limit derivation (βₙ ≈ 3.0 across all aspect ratios) L-R balance diagnosis (why circular geometry is limited) Shaping predictions (βₙ → 5.5 with κ = 2.0, δ = 0.5) Mechanism explanation (curvature dimension enhancement) Discussion — Physical interpretation, comparison with experiments, future predictions Conclusion — Summary of validated results References — Troyon, your Zenodo papers, ITER physics basis Appendix — Code availability (github.com/garrjo/gdbs)