This paper proposes a geometric model of electromagnetic interaction in which elementary particles are treated as localized spherical regions of spatial curvature. The main local characteristic of the model is the intensity of volumetric curvature of space, Delta K_v = 1- alpha^3 where alpha is the coefficient of linear curvature of space relative to the basic, unperturbed state. Inside each spherical region the volumetric curvature intensity is assumed to be constant, while outside the region the distribution remains spherically symmetric and satisfies a global compensation law over all space.A geometric charge is introduced as an integral characteristic of the external flux of spatial curvature, that is, as the integral of the divergence of the corresponding vector field over the external region. The interaction energy of two such sources is constructed through a bilinear potential in the parameter spaces of the two charges. This makes it possible to obtain the leading Coulomb term of the force and its geometric generalization. It is shown that long-range interaction is determined not by the full volumetric curvature intensity itself, but by a quantity proportional to the change in the Gaussian curvature of the boundary of the deformed region.On this basis, geometric formulas are derived for electric and magnetic-type interaction forces, as well as expressions for the creation energies of the electron and the proton, interpreted respectively as the energies required to compress and stretch space. The resulting formulas for radii and creation energies reproduce the classical electron radius in the linear approximation and set the correct scale for the proton radius and mass. Thus, a self-consistent geometric formalism is proposed in which electric charge, interaction energy, and particle mass arise as consequences of local curvature of space.