Abstract
In color geometrodynamics fundamental spinor fields are assumed to obey a GL(2f,C)⊗GL(2c,C) gauge-invariant nonlinear spinor equation of the Heisenberg–Pauli–Weyl type. Quark confinement, assimilating a scheme of Salam and Strathdee, is (partially) mediated by the tensor ’’gluons’’ of strong gravity. This hypothesis is incorporated into the model by considering the nonlinear Dirac equation in a curved space-time of hadronic dimensions. Disregarding internal degrees of freedom, it is then feasible, for a peculiar background space-time, to obtain exact solutions of the spherical bound-state problem. Finally, these solutions are tentatively interpreted as droplet-type solitons and remarks on their interrelation with Wheeler’s geon construction are made.
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