Abstract:
We conjecture that the topological structure of the gauge symmetries required by the Calabi-Yau vacuum and the dualities in string/D-branes considered in the world with some additional dimensions can lead to an extension of the main principles of the Special Theory of Relativity. The link between the topological structure of the vacuum and the, hierarchy of the gauge symmetries could be checked by the existence of the ``almost massless'', ''sterile'' particles. These particles could have flying properties different from the standard predictions of the STR. It is natural to consider this property for neutrinos, known up to now ``$U(1)_{em}$ sterile'' particles. Here we discuss two such effects depending on the possible existence of large and/or small extra dimensions and what is the maximal speed for both cases. The effect of large extra dimensions can be directly connected with the existence of a hidden boost, $c_{hid} >> c_{em}$, excited by new global dimensions and can lead to the monotonous rise of the neutrino velocity at high energies, $v_{\nu} > c$. The effect of small extra dimensions, universal with respect to all particles, can be connected with the gravitation recoils of the propagation of neutrino in the space-time vacuum-foam and it leads to the effect of diminishing the neutrino velocity at high energies. We propose to check these conjectures for neutrinos of different energies and species. Limits for existing neutrino data and expected sensitivities of possible experiments for accelerator - produced neutrinos are considered. It is pointed out that CERN has the unique opportunity of measuring the indicated effects.

Abstract:
The HARP Collaboration recently published calibrations of their TPC and RPC detectors, and differential cross-sections of large-angle pion production in proton-nucleus collisions. We argue that these calibrations are biased and cross-sections based on them should not be trusted.

Abstract:
The granular structure of space, the nature of virtual particles and the unity of physical interactions are under study. The mass of an elementary cell in the Universe is determined, as a whole, with the physical meaning of the renormalization procedure changing in this case.

Abstract:
Two and a half thousand years ago the ancient atomists made a suggestion that space has a cellular structure, is material and consists of elementary cells. In 1900 Plank found the elementary length L*=10-33 cm. This notion has been widely used in modern physics ever since. The properties of granular space are studied in this article on the assumption that a three-dimensional material cell with the size of Planck’s elementary length is the only material for the construction of the whole Universe. This approach allows one to account for such mysterious phenomena as inertia, ultimate velocity of transfer of material body interactions and huge difference between gravitational and Coulomb forces - the so called “Large Numbers Problem”, as well essence of electric charge and Pauli exclusions principle.

Abstract:
In 1965, Penzias and Wilson discovered thermal radiation with T0 ~ 2.7 K further on called “relict”. This article is concerned with the new phenomenon, i.e. the formation of gravitational energy levels by any body, with the result that photons are produced whose spectrum close to the Earth is similar to that of a blackbody with T0 ~ 2.7 K. The critical analysis of the experiments performed with the cosmic observatories COBE and WMAP completely confirms this prediction.

Abstract:
The translational motion of a large polaron as whole is analyzed in the context of its effect on the broadening of an absorption optical spectrum. It was open question how important the role of translational degrees of freedom and the corresponding velocities are on the broadening. The Bogolyubov method of canonical transformation of coordinates is formulated for a system of an electron and field, taking into account rigorous fulfillment of the conservation laws. Separation of variables is carried out for the coordinates describing the translational degrees of freedom and the electron oscillations in a polarization well. The equations obtained for the electronic states explicitly depend on the velocity of the free polaron as a whole. An estimate is made for free polaron in ammonia.

Abstract:
In the present work a possibility of computation modeling, which should be realized in a real quantum computer, is discussed. In this connection two models of a device, which work is determined by the structure and dynamics of real molecular systems are reported.

Abstract:
An investigation into real structure of space allows solving in a new way the problem of stability of atom: an electron on the ground level is a rest. The absolute causality of all the phenomena in the Universe is substantiated. Heisenberg inequalities make some sense only when it is impossible to conjugated physical values. The work is concern with the mystery of interference and hyroscope.

Abstract:
The investigations into the structure of the gravitation field formed by stars, galaxies and their clusters have allowed an alternative explanation for the effect of red shift in stellar spectra; they also have “stopped” the expansion of the Universe and disregarded “dark” energy (DE). The characteristic features of the structure of gravitational field for large galaxies give a clear indication of the mysterious “dark” matter (DM) which enables eliminating it in the Universe. And, finally, the theory of granular space may prove the existence of the Universe as a unique one.

The model of dark matter is presented where the dark matter is a classical gauge field. A spherical symmetric solution of Yang-Mills equation is obtained. The asymptotic behavior of the gauge fields and matter density is investigated. It is shown that the distribution of the matter density allows us interpret it as the dark matter. The fitting of a typical rotational curve with the rotational curve created by the spherical solution of SU(3) Yang-Mills equation is made