Neutrino and Extra World
  The neutrino speed measurement experiments are the continuations of the classic light speed measurement experiments have been done in range of the solar planet system (Ole Roemer, 1676), in star system (James Braidely, 1728) and, at last, on the Earth (Lois Fizeau, 1849),.... The finite light speed measurement has led to the revolution in the humanity consciousness and eventually led to a new understanding of the visible universe. In 1998-2005, we had a lot of excited discussions at CERN about the possibilities to perform the neutrino experiments to test the superluminal neutrino hypothesis and to find new phenomena beyond the SM. From one hand the idea of such experiments was associated with the hope to understand the role of the V-A- weak interactions, the quark-lepton family symmetry, the neutrino space-time properties and to observe some indications on a new vacuum structure existence outside of the Weak Scale, i.e. in the region 1/R ~ (0.1-20) TeV. From another hand the general trends of this idea has been related to the possible existence some extra space-time noncompact dimensions of the universe. In this context it would be first serious encounter with the dual conception between the physical phenomena of microcosmos and of universe. One of the main goals is to find some new space-time peculiarities and structures that might explain the formation of our visible D=(3+1)-universe with all its space-time and internal symmetries which could be only a part of a vast Universe filled with other kinds of matter. The main difficulties of such experiments related to the possible relativity principle paradoxes have been discussed. 
D.S. Baranov and G.G. Volkov
hep-ph gr-qc