Spacetime Structure Evolution and Stability Theory C; Complexity Hierarchy Theory of NP Problems under Time Tree

This paper establishes a computational verification model based on the time tree structure, strictly
 describing the computational complexity essence of NP problems by restricting the combinatorial
 relationship between the kernel dimension of mappings and the tree depth. The core contribution
 lies in proving that when the time tree satisfies balance conditions and the kernel dimension has a
 polynomial upper bound, the corresponding problem belongs to the P class. This research provides a
 new algebraic topology perspective on the P vs NP problem and structurally reveals computational
 obstacles in NP-complete problems, such as kernel dimension explosion and super-polynomial growth
 in depth