Analysis of Energy Formula Generation from Envelope Interface Nesting Structure

Starting from the envelope interface nesting structure, this paper defines two levels of space-time quantity expressions: the fundamental space-time quantity Uq = V × S × D and the topological space-time quantity Uqi = b ×Uq. On this basis, the comparative space-time quantity U = U0i/ (sqrt(2) · bj) is defined, describing the comparative quantity obtained when the relative topological space-time quantity of the reference envelope surface (parent level) is mapped through the effective topological factor of the meridian envelope interface within a nesting relationship. This paper demonstrates that the operation of the comparative space-time quantity is valid only between envelope surfaces that have a nesting relationship. This is because only in a nesting relationship can the hidden variable Kj^2 of the meridian envelope interface naturally cancel on both sides of the equation, thereby obtaining the constant projection resultant velocity Cu. For envelope surfaces in coexistence or isolation relationships, Kj^2 cannot cancel naturally, and the comparative space-time quantity operation cannot be performed directly. Finally, the geometric framework is mapped to the physical world: introducing the mass-speed factor k = m/Vu to convert the comparative space-time quantity U (m^3/s^3) into physical energy E (J), demonstrating that E = mc^2 is a degeneration of the comparative space-time quantity under specific conditions, rather than a fundamental law of the universe.