Is the gravitational force elementary?

Computer Science

Scientific paper

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Quantum Gravity: Gravitation Theory, Quantum Gravity: Elementary Particles

Scientific paper

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 governed by a nonlinear spinorfield equation with nonperturbative Pauli-Villars regularization and canonical quantization. On the quantum level the fermion dynamics is expressed by a functional equation for algebraic state functionals, and the "graviton" (functional) states are defined to be solutions of the diagonal part of this equation. The effective interaction between such graviton states and fermions is studied by means of a weak mapping between the original functional equation and an effective functional equation for gravitons and fermions.

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