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A geometrical model of electric charge is proposed. This model has ``naked''charge screened with a ``fur - coat'' consisting of virtual wormholes. The 5Dwormhole solution in the Kaluza - Klein theory is the ``naked'' charge. Thesplitting off of the 5D dimension happens on the two spheres (null surfaces)bounding this 5D wormhole. This allows one to sew two Reissner - Nordstr\"omblack holes onto it on both sides. The virtual wormholes entrap a part of theelectrical flux lines coming into the ``naked'' charge. This effect essentiallychanges the charge visible at infinity so that it satisfies the real relation$m^2<e^2$.Comment: 10 pages, 1 figure, awarded Honorable Mention by Grav.Res.Found.,  199

MULTIDIMENSIONAL GEOMETRICAL MODEL OF THE RENORMALIZED ELECTRICAL CHARGE WITH SPLITTING OFF THE EXTRA COORDINATES