Physics – Mathematical Physics
Scientific paper
2011-04-18
Physics
Mathematical Physics
24 pages
Scientific paper
In this paper an alternative theory about space-time is given. First some preliminaries about 3-dimensional time are presented, and the reasons for the introducing of the 3-dimensional time are also given. Beside the 3-dimensional space (S) it is considered the 3-dimensional space of spatial rotations (SR) independently from the 3-dimensional space. Then it is given a model of the universe, based on the Lie groups of real and complex orthogonal 3x3 matrices in this 3+3+3-dimensional space. Special attention is dedicated to introduction and study of the group over SxSR, which appears to be isomorphic to SO(3,R)xSO(3,R). From viewpoint of the ordinary geometry this is analogous to the affine group of all translations and rotations in 3-dimensional Euclidean space, which is homeomorphic to SO(3,R)xR^3. Some important applications of these results about spinning bodies are given, which naturally lead to violation of the third Newton's law, the law of preserving the total energy and the Principle of Equivalence from the General Relativity and gives a generalization of the space-time element known from the Special Relativity. At the end of the paper are considered spinning bodies in gravitational field and their departures from the non-spinning motion, which may easily be experimentally verified.
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