Instead of the fictitious Minkowski space, the geometrical models of the space-time are considered, where all coordinates are real numbers. But representation of time by means of imaginary numbers does not give an opportunity to understand reasons of deep difference between notions “space” and “time”. Notice, that the formal geometrical interpretation of time is known where time is considered as an imaginary fourth coordinate with the dimensionality of length in the four dimensional pseudo-Euclidean space that is often identified as a “space-time” (Minkowski space). Here we present the more rigorous consideration. Preliminary results were earlier published in. The idea about additional dimensionalities is the main idea of this work, and this idea is based on the hypothesis that the space of events is a special case of fiber spaces, namely, the topological product of the usual Euclidean space and some another space with real geometry. Ideas about additional space (additional to our Euclidean space) were also investigated by Urusovskii. For geometrization of gauge fields this idea was later used by Vladimirov. In these investigations the idea was used about increasing dimensionality of our Euclidean space from three to four―the idea firstly used by Kaluza and then by Bergmann and Einstein in their attempts to geometrize electromagnetic field. This work is a соntinuation of author’s investigations of possibility to explain physical phenomena by geometrical properties of the space-time. Notice, that the suggestion about the same nature of the notions “space” and “time” was, may be, firstly proposed by Feynman. It means that notions “space” and “time” can be reduced to the one notion―“the space” with definite real geometry. Here we show that time can be also considered as geometrical characteristic with dimensionality of length in some special many-dimensional space. On the other hand, time does not look understandable on the basis of notions from everyday life. This space looks, intuitively, as understandable one because its standards have dimensionality of length. Definition of standards means that the space of event can be investigated by physical methods, and it was established that three coordinates describe a three-dimensional Euclidean space. Hard sticks are standards for measuring of coordinates of “places of events” and periodical movements (clocks) are standards for measuring of “moments of time”. ![]() The time is considered in special relativity as one of the four coordinates in the four-dimensional so called “space of events”, where scalar is the “moment of time”, when the event takes place, and are coordinates of the “place of event”. ![]() ![]() It is impossible to express these notions in terms of more fundamental ones. Space and time are fundamental physical notions, and they are basis for definition of the central notion of natural sciences―the notion of “motion”.
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