In the Standard model of elementary particles there is no concrete particle model for the Higgs¿ condensate (of bare Higgs¿ particles). The main goal of this study is to create and study the possible particle model for the Higgs¿ condensate. We create this model as a set of non-local tachyons. Non-local tachyons are a new type of objects proposed in our previous papers which have a 3-dimensional space-like surface as a trajectory. As a consequence of this model we obtain the existence of a time constant ¿0 > 0 which is a parameter of our model. We show that then there exists a geometrical part of a diffraction in the time-like two-slit experiment which makes quantum mechanics invalid at short distances. Then we introduce the dark energy hypothesis which enable us to estimate ¿0 . As a main result we give the concrete experimental proposal which can be tested. Also the relation to the basic cosmological model is mentioned. At the end we discuss the generalized model for the Higgs¿ condensate in which it is possible to acquire some information from the outside of the light cone and possibly also some correlations from the outside of the light cone.

I am an absolvent of the faculty of mathematics and physics of the Charles university at Prague (1965). I spend 27 years at the Academy of Sciences, then I have teached at the fakulty of mathematics and physics (1993 - 2004) and at the fakulty of arts (from 2003). My interests: mathematical analysis, mathematical modeling, quantum mechanics, logic.