GOD Programme IX: Disruptions in Tokamaks as Geometric Phase Transitions

We present Article IX of the GOD Programme, which applies the algebraic
and geometric machinery developed in Articles I–VIII to the problem of plasma
confinement and disruption in tokamaks. Two independent algebraic routes—
Route A and Route B— converge on a single geometric object: the Torrado

manifold M. Route A derives the H-confinement factor directly from the en-
rollment tensor Uij , obtaining the exact value H0 =5/2 without free parameters.

Route B treats disruption as the collapse of the projection ΠK4

when the system crosses the algebraic coupling threshold Eβ(K1, K4) = C(4)/C(1) = 1/35.

The hierarchy of intermediate thresholds produces a machine-independent se-
quence of disruption precursors with energy ratios 1/3 : 1/10 : 1/35. All

results are elements of L(M) with unique fold assignments guaranteed by the
Torrado Classification Theorem (TCT). Six falsifiable predictions are stated,
four consistent with existing JET, ASDEX Upgrade and W7-X data, and two
open to direct experimental test.