El Naschie’s superconductivity in the time dependent Ginzburg–Landau model

One obtain various interesting results if one introduces the hydrodynamic formulation of scale relativity theory (SRT), for a coherent quantum fluid, into the time dependent Ginzburg–Landau (TDGL) equation, which describes superconductivity. The London gauge and the zero momentum of the Copper pairs (i.e. the London equations) arise naturally from the imaginary parts of the computed system. One obtains a particular relation between the diffusion coefficient, the (dimensionless) friction coefficient and the (dimensionless) Ginzburg–Landau parameter which yields a new natural gauge for the TDGL equation (as postulated by some authors). If the value of the real velocity of the Copper pairs tends to zero, the imaginary velocity of the pairs becomes real. The subquantum potential is proportional to the density of the Copper pairs. Moreover, under special circumstances, the superconductor acts as a subquantum medium energy accumulator. In this context, we discuss a certain special coherence of the Cooper-pairs by means of ε(∞) space–time (El Naschie’s superconductivity).