Nodal Coherence in Type II Vortices Structural Evidence for a TN Framework of Superconductivity

We present a structural formulation of Type II superconductivity based on the Nodal Theory (TN), extending the phenomenological Ginzburg–Landau framework through an emergent geometric curvature of the nodal manifold. Introducing a self-consistent nodal curvature Rnodal within a gauge-invariant E31 QED action, we derive field equations exhibiting geometric feedback absent in conventional models. Empirical consistency is demonstrated using scanning tunneling microscopy data for NbSe2 and a structural correlation analysis of the SPARC galaxy database, yielding a global correlation coefficient R2 = 0.954 for N = 524 observations. These results support the interpretation of coherence as an intrinsic structural property of nodal manifolds across physical scales.