Application Of Mixing Problem In Transformation Groups

No matter in mathematics or physics,geometry is an important research direction and theoretical tool.The two concepts about time and energy are also very important research elements.As we know,energy and tensors are inextricably interrelated,and the concept of time is represented by certain transformation groups through the theoretical system established in this paper.Therefore,what needs to be discussed here is the problem between the transformation group and the tensor which is restricted in the mathematical domain.This problem has both mathematical and physical significance.Through the use of topology,algebra,differential geometry and function theory of the relevant theories,as well as the introduction of the later dynamic system and mixed problems proved.Starting from the concept of event in four-dimensional space and time and the original timeline,and on the basis of the principle of world line collection,a series of new ideas about the idea of the world line collection were obtained.That is,the description of time line and the concept of corresponding scale under the world view of a single perspective.There is a fixed time line that is the motion group.The observation points are further defined to obtain the world lines given by different time lines for a given observation point.Finally,the important problem of the dynamical system related to the mixing is proved by the theory of topological dynamical system and function theory that is weak mixing implies any finite mixing.Then the theory of time line is taken into measure-preserving system.Under this condition,the proof of the mixed problem is applied to the given transformation groups.The final conclusion was reached.That is a description of time line variation under continuous action of topological discrete dynamical system.These laid an important preliminary foundation for the follow-up work of theoretical promotion and the establishment of a complete world view.