On the Analysis of Nesting Relations of Envelope Surfaces

Within the envelope surface framework, nesting relations are the core mechanism of envelope surface hierarchical structure: the parent envelope surface generates the parameters of the child envelope surface on its own projection layer; the child envelope surface, as a new ruler, continues to generate the parameters of the grandchild envelope surface on its own projection layer, forming a chain of nested envelope surfaces. This paper systematically analyzes the essence of nesting relations: nesting is not spatial containment, but the transmission of ruler hierarchies — each layer is a reading of the previous layer on its own projection layer. This paper defines the mathematical structure of nesting relations, demonstrates the homology between nesting and coexistence relations, and points out that nesting relations are the root cause of the hierarchical nature of physical constants and ruler dependence. The paper provides a complete nesting chain analysis from the Planck system to electrons to molecules, as well as the redefinition of the concept of "objective physics" by nesting relations.