| _version_ | 1866901415564148736 |
|---|---|
| author | Torrado-Cano, Francisco |
| author_facet | Torrado-Cano, Francisco |
| contents | <p>We present Article IX of the GOD Programme, which applies the algebraic<br>and geometric machinery developed in Articles I–VIII to the problem of plasma<br>confinement and disruption in tokamaks. Two independent algebraic routes—<br>Route A and Route B— converge on a single geometric object: the Torrado</p> <p>manifold M. Route A derives the H-confinement factor directly from the en-<br>rollment tensor Uij , obtaining the exact value H0 =5/2 without free parameters.</p> <p>Route B treats disruption as the collapse of the projection ΠK4</p> <p>when the system crosses the algebraic coupling threshold Eβ(K1, K4) = C(4)/C(1) = 1/35.</p> <p>The hierarchy of intermediate thresholds produces a machine-independent se-<br>quence of disruption precursors with energy ratios 1/3 : 1/10 : 1/35. All</p> <p>results are elements of L(M) with unique fold assignments guaranteed by the<br>Torrado Classification Theorem (TCT). Six falsifiable predictions are stated,<br>four consistent with existing JET, ASDEX Upgrade and W7-X data, and two<br>open to direct experimental test.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19866655 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | GOD Programme IX: Disruptions in Tokamaks as Geometric Phase Transitions Torrado-Cano, Francisco Tokamaks God Programme <p>We present Article IX of the GOD Programme, which applies the algebraic<br>and geometric machinery developed in Articles I–VIII to the problem of plasma<br>confinement and disruption in tokamaks. Two independent algebraic routes—<br>Route A and Route B— converge on a single geometric object: the Torrado</p> <p>manifold M. Route A derives the H-confinement factor directly from the en-<br>rollment tensor Uij , obtaining the exact value H0 =5/2 without free parameters.</p> <p>Route B treats disruption as the collapse of the projection ΠK4</p> <p>when the system crosses the algebraic coupling threshold Eβ(K1, K4) = C(4)/C(1) = 1/35.</p> <p>The hierarchy of intermediate thresholds produces a machine-independent se-<br>quence of disruption precursors with energy ratios 1/3 : 1/10 : 1/35. All</p> <p>results are elements of L(M) with unique fold assignments guaranteed by the<br>Torrado Classification Theorem (TCT). Six falsifiable predictions are stated,<br>four consistent with existing JET, ASDEX Upgrade and W7-X data, and two<br>open to direct experimental test.</p> |
| title | GOD Programme IX: Disruptions in Tokamaks as Geometric Phase Transitions |
| topic | Tokamaks God Programme |
| url | https://doi.org/10.5281/zenodo.19866655 |