In fractal space-time theory we built a superconducting model for generalized fields (electromagnetic and linear gravitation): generalized Maxwell and London's equations, generalized Meissner and shielding effects, oscillation modes in thin cylindrical gen eralized superconductors (generalized supertrons) and generalized superconductivity as a gauge theory. In such a context the atomic, planetary and double galaxies systems are self-organized as fractal superconducting structures. The Cantorian E-(infinity) structure of spacetime implies a two-dimensional cnoidal distribution of the particles concentration for the solid-liquid interface and allows the evaluation of the kinetic moment of a neutron star. (C) 2001 Elsevier Science Ltd. All rights reserved.