In this work the analysis of dependence of change of metric and time response characteristics of material objects (fundamental particles) on the speed of their movement in three-dimensional space on sub light speeds and in the four-dimension space on hyper light speeds is given. The equations for these characteristics are removed. The possibility of movement in space with the speeds exceeding light speed is theoretically proved and shown. The principle of transition of matter through the light (power) barrier is explained. Existence of the World environment is proved; calculation of sizes of energy barrier of the zone of the uncertainty arising upon transition through "the light barrier", the cosmological red shift, temperature of background radiation of the Universe is given. The hypothesis of existence of white holes, in space objects as power source, matter and magnetic field is offered. Parameters of white holes are calculated, the physical principles of their emergence and existence are offered.