PFUSRC-075 Topological Hierarchical Genesis - The Underlying Topological Origin of Symmetry and Conservation

Classical physics establishes the correspondence between spacetime symmetry and conserved quantities via Noether’s theorem, yet fails to explain the generative origin of symmetry and conservation laws, and cannot self-consistently interpret conservation deviations observed on cosmological scales. Grounded in the 11-dimensional triple coaxial 45° biconical geometry, the bearing boundary of 55 curvature anchors and the 12/11 interlayer topological gauge constraint, this paper constructs a complete topological hierarchical genesis framework and rigorously derives the generative mechanism of symmetry and conservation. It divides topological existence into three progressive layers: the unconstrained global topological substrate, the structured topological parent universe, and the 3D compactified projected universe. The standardized topological dynamic concept "rigid dynamic variation" is defined, revealing that the necessary and sufficient conditions for steady-state topological structures to sustain existence simultaneously generate local symmetry constraints and observational conservation laws. A core broken symmetry model is proposed, demonstrating that primordial topological degrees of freedom carry native brokenness inherently, and ordered physical systems only impose structural constraints on such intrinsic brokenness rather than eliminate it. This paper distinguishes three independent conservation boundaries: ontological conservation, structural conservation and observational conservation, resolving the logical contradiction between valid local conservation and large-scale conservation breaking. A neutral architectural comparison with Noether’s theorem is supplemented to clarify their respective applicable layers and inclusion relations. Two exclusive falsifiable quantitative observational predictions are provided. This framework forms a closed-loop genetic explanation of symmetry and conservation, incorporating Noether’s theorem as a low-dimensional compactified projection approximation, and provides fundamental conservation rule support for the entire cross-scale topological dynamics series of PFUSRC.