Abstract
A nonlinear complex scalar field theory associated with a "squared" Heisenberg-Pauli-Weyl nonlinear spinor equation is considered. We numerically calculate static and radially localized solutions of the resulting Heisenberg-Klein-Gordon equation both in flat space-time and under the influence of the effective potential produced by an external Schwarzschild geometry of strong gravity. The semiclassical energy spectrum for "solitonlike" solutions with quantized charge is analyzed with respect to the various free parameters of our model. Finally, some speculations are presented with the aim of relating these results to particle physics.
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