Cantorian space–time and the energy gap of high temperature superconductors

We develop a dynamics of the Cooper pair given by the complex action with ψ solution of the two-dimensional Ginzburg–Landau (GL) equation. The ‘motion energy’ admits discontinuities for the Cantorian sequences 1/3,1/5,1/7,…, and corresponds to the energy gap of high-temperature superconductors.