The proposed model is based on Wheeler’s geometrodynamics of fluctuating topology and its further elaboration based on new macro-analogies. Micro-particles are considered here as particular oscillating deformations or turbulent structures in non-unitaty coherent two-dimensional surfaces. The model uses analogies of the macro-world, includes into consideration gravitational forces and surmises the existence of closed structures, based on the equilibrium of magnetic and gravitational forces, thereby supplementing the Standard Model. This model has perfect inner logic. The following phenomena and notions are thus explained or interpreted: the existence of three generations of elementary particles, quark-confinement,“Zitterbewegung”, and supersymmetry. Masses of leptons and quarks are expressed through fundamental constants and calculated in the first approximation. The other parameters — such as the ratio among masses of the proton, neutron and electron, size of the proton, its magnetic moment, the gravitational constant, the semi-decay time of the neutron, the boundary energy of the beta-decay— are determined with enough precision.