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Theory of telegraph-signal like time development of a quantum system: adsorbate jumps in quantum diffusion

A world model consisting of matter fields living in four dimensional spacetime and a gravitational field living in eleven dimensional spacetime is constructed. Seven spacial 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 contains only gravonons, gravitons and a scalar matter field. The gravonons are localized in the environment of the massive particles which generate them. The solution of the Schroedinger equation for the world model yields matter fields which are localized in the 4 dimensional subspace.

Atom and molecule localization is governed by the chooser mechanism for the selection of the localization site. The site selection is on the basis of minor energy and gravonon differences. The changes from one localization site to a neighbouring one take place in a telegraph-signal like manner.

All experimental findings on adsorbate quantum diffusion 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 without the need of introducing a statistical interpretation or the collapse concept.

grav200-200.gif (40k)
Weight of adsorbate wave packet on an adsorption site as a function of time

G. Doyen and D. Drakova, arXiv: 1408.2716 [quant-ph] 25 Apr 2012.
G. Doyen and D. Drakova, Foundations of Physics 45, pp 959-999 (2015).