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In present paper we construct classical and quantum models of an extendedcharged particle. One shows that consecutive modelling can be based on thehollow thin-wall charged texture (in the hydrodynamical approach of a perfectfluid) which acquires gravitational mass due to Einstein-Maxwell interaction.We demonstrate that such a model has equilibrium states at the radius equal tothe established classical radius of a charged particle. Also we considerquantum aspects of the theory and obtain the (internal) Dirac sea conception ina natural way. Besides, the phenomenological unification on the mass level ofthe two families of elementary particles, charged pions and electrons andpositrons, evidently arises as the effect induced by classical and quantumgravity prior to Standard Model.  Finally, in the cosmological connection our model proposes the answer on theimportant question, what are the real sources of texture matter. Besides, thetexture hypothesis means that in the early Universe the topological texturefoam phase existed before the lepton-hadron one.Comment: I try to unitarily answer both the question "Can sub-lepton/hadron  matter be of topological nature" and "What is the origin of cosmic textures  and pre-lepton-hadron phase in the early Universe"; slightly shortened  version (v2) was published in IJMP

EXTENDED PARTICLE MODELS BASED ON HOLLOW SINGULAR HYPERSURFACES IN GENERAL RELATIVITY: CLASSICAL AND QUANTUM ASPECTS OF CHARGED TEXTURES