  We construct a world model consisting of a matter field living in 4
dimensional spacetime and a gravitational field living in 11 dimensional
spacetime. The seven hidden dimensions are compactified within a radius
estimated by reproducing the particle - wave characteristic of diffraction
experiments. In the presence of matter fields the gravitational field develops
localized modes with elementary excitations called gravonons which are induced
by the sources (massive particles). The final world model treated here contains
only gravonons and a scalar matter field. The solution of the Schroedinger
equation for the world model yields matter fields which are localized in the 4
dimensional subspace. The localization has the following properties: (i) There
is a chooser mechanism for the selection of the localization site. (ii) The
chooser selects one site on the basis of minor energy differences and
differences in the gravonon structure between the sites, which appear
statistical. (iii) The changes from one localization site to a neighbouring one
take place in a telegraph-signal like manner. (iv) The times at which telegraph
like jumps occur dependent on subtleties of the gravonon structure which appear
statistical. (v) The fact that the dynamical law acts in the configuration
space of fields living in 11 dimensional spacetime lets the events observed in
4 dimensional spacetime appear non-local. In this way the phenomenology of
Copenhagen quantum mechanics is obtained without the need of introducing the
process of collapse and a probabilistic interpretation of the wave function.
Operators defining observables need not be introduced. All experimental
findings are explained in a deterministic way as a consequence of the time
development of the wave function in configuration space according to
Schroedinger's equation.
