There is neither one obvious power acting on the world, nor obvious balance of power and long-term peace and stability. The paradigm of complex dynamic systems would allow understanding more clearly the real order of the world that cannot explain the dominating old mechanical paradigm. Complex dynamic systems have characteristic features and act in many fields where leadership becomes inefficient when following mechanical paradigm.

Present world has no clear balance between economic and political forces. Conflict initiators use all possible sanctions and unconventional means and ways and have no clear and permanent structure and allies. Traditional leadership and actions in conflict zones are not effective. Complex dynamic systems (CDS) paradigm allows understanding better the essence of chaotic processes in conflict zones and acting efficiently.

Remarkable progress of modern particle physics has thrown more and more lights onto factuality that any discretionary particles in cosmos are mutually convertible, and living progress of it even makes the factuality orient perfect induction day by day, which apparently implies that cosmos is throughout homogenous originated from unique genesis. And on the basis of integrative precondition of "homogenous cosmos originated from unique genesis + spacetime & matter coequally belong to category of cosmos", it logically arrives at "logic extension 1 of Homogenous cosmos originated from unique genesis postulate"-spacetime and matter are coequally physical. On the basis of integrative precondition of "homogenous cosmos originated from unique genesis + spacetime & matter fully embodying cosmos", it logically arrives at "logic extension 2 of Homogenous cosmos originated from unique genesis postulate"-spacetime and matter are homologic filiation. And subsequently, it introduces "connotation objectification of the two logic extensions of Homogenous cosmos originated from unique genesis postulate" to accomplish homology objectification of entire cosmos so as to highlight intrinsic homologic attribute of spacetime and matter, homologic filiation between spacetime and matter, even essence of matter, which are of course favorable rational groundwork for further logic extension towards qualitative redefinition and mathematical formulation of existence & motion of matter in homogenous cosmos.