IS THE GRAVITATIONAL FORCE ELEMENTARY

The gravitational force is assumed to be mediated by spin 2 gravitons which are composed of four spin 1/2 (sub-) fermions. The dynamics is g overned by a nonlinear spinorfield equation with nonperturbative Pauli -Villars regularization and canonical quantization. On the quantum lev el the fermion dynamics is expressed by a functional equation for alge braic state functionals, and the ''graviton'' (functional) states are defined to be solutions of the diagonal part of this equation. The eff ective interaction between such graviton states and fermions is studie d by means of a weak mapping between the original functional equation and an effective functional equation for gravitons and fermions. In th e low energy limit this mapping produces for the effective fermion dyn amics (apart from selfinteractions) a Dirac equation in anholonomic co ordinates coupled to the anholonomic connections of a gravitational fi eld, i.e. the usual phenomenological expression for a gravitational fo rce acting on spin 1/2 fermions.