Abstract
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 characteristics 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 gravonons are localized in the environment of the massive particles which generate them. The solution of the Schrödinger 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 at present cannot be controlled experimentally and therefore let the choice 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 depend on subtleties of the gravonon structure which at present cannot be controlled experimentally and therefore let the telegraph-like jumps 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 CQM 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 Schrödinger’s equation without the need of introducing a probabilistic interpretation.
Highlights
The problem of whether quantum mechanics, including the postulated concept of random collapses, provides a real representation of the world or whether it implies just a probabilistic interpretation of experimental data is still discussed controversially
Whereas Penrose suggests that collapse is a dynamics arising in a natural way from gravity [1,2,3,4,5,6], Omnes claims that decoherence solves the problem and, objectification in quantum mechanics is a non-existent problem [7]
The chooser can only work, if gravitons are available at an energy separation which is of the order of the gravitational interaction strength for any kind of matter field quantum
Summary
The problem of whether quantum mechanics, including the postulated concept of random collapses, provides a real representation of the world or whether it implies just a probabilistic interpretation of experimental data is still discussed controversially. An extension of CQM by including the system and the environment is often considered under the heading of decoherence theory According to this theory localization via interaction, ”permanent measurement” by environmental particles (phonons, tomonagons, photons, plasmons, etc.) is suggested. An understanding is provided in the framework of the present theory [50] It appears that the localization of quantum particles via entanglement to environmental continua of high density of states is a necessary condition for various reactions on solid surfaces. Non-locality in four spacetime dimensions is implicit in the theory It is capable of describing and explaining the experiments on solid surfaces mentioned beforehand, which was found impossible within CQM. 2 we investigate the structure of a theory based on an extremely local and weak interaction with a high density continuum in 11 dimensional spacetime This includes compactification of the hidden dimensions The physical laws depend on the geometry and dimensions of the branes and the hidden dimensions
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