The applications of Dynamic Smarandache Multi-Space (DSMS) Theory are discussed in this paper. Assume that different equations are established for n different dynamic spaces (where n is a dynamic positive integer and a function of time), and these n different dynamic spaces combine to form a DSMS, and they are mutually interacted. Some new coupled equations need to be established in the DSMS to replace some equations in the original dynamic spaces, and some other equations need to be added to account for the contact, boundary conditions and so on. For a unified treatment of all equations in the DSMS, this paper proposes a quantization process for all variables and all equations and a unified variational principle for quantization using a collocation method based on the method of weighted residuals, and we may simultaneously solve all equations in the DSMS with the optimization method. With the unified variational principle of quantization in the DSMS and the fractal quantization method, we pave a way for a unified treatment of problems in the theory of relativity and the quantum mechanics, and a unified treatment of problems related with the four fundamental interactions. Finally a coupled solution for problems of relativity and quantum mechanics is discussed.
Category: Quantum Physics