Bücher von Jiri Soucek

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.

In this paper we define and study the new model for quantum mechanics (QM) ¿ the hybrid epistemic model. The new feature of this model consists in the fact that it does not contain the formal definition of the measurement process but the measurement process is one of possible processes inside of QM. The hybrid-epistemic model of QM is based on two concepts: the quantum state of an ensemble and the properties of individual systems. We show the local nature of EPR correlations in the hybrid-epistemic model of QM in all details. We define precisely the epistemic and the ontic models of QM for the goal to prove that these three models give the same empirical predictions, i.e. that they are empirically equivalent. We show that the no-go theorems (Bell¿s theorem, the Leggett-Garg¿s theorem and others theorems) cannot be proved in the hybrid-epistemic model of QM. This is one of the main results of this paper. We shall consider the possible inconsistences of the ontic model of QM. We introduce the property-epistemic model of QM which is the special simple case of the hybrid-epistemic model.

This monograph (the second of two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configurations in nonlinear elasticity or for liquid crystals.