PARTICLES AS SOLUTIONS OF A RESCALED WDW EQUATION

A simple model is investigated according to which the deformation of the vacuum corresponding to the localization of a particle is described by particular solutions of an appropriately rescaled Wheeler - De Witt (WdW) equation. The role of the usual gravitational constant is in fact played by a different constant, defined by a suitable geometric representation of the Higgs mechanism. The particle is then described in terms of a micro-universe of size 10-13 cm, without contradiction with the point like nature of the charges. Different definitions of the temporal variable give rise to different solutions which, suitably connected, lead to a temporal evolution of the particle that is wider than that normally contemplated. For example, it is possible to dynamically describe quantum jumps and obtain a decoherence mechanism compatible with the phenomenon of flavor mixing. Some cosmological consequences and the possibilities of experimental verification are briefly discussed