Analysis of Energy Formula Generation from Envelope Interface Nesting Structure

Starting from the Envelope Interface nesting structure, this paper establishes a complete space-time quantity system and maps it to the energy formula of the physical world. First, at the Envelope Interface level, the topological space-time quantity U0 = V0 × S0 × D0 and the relative topological space-time quantity U0i = b × U0 are defined; at the Meridian Touching Wave Packet level, the corresponding topological space-time quantity Uu = Vu × Su × Du and the relative topological space-time quantity Uui = bu × Uu are defined. The two levels are connected through the nesting bridge relation. Second, this paper defines the comparative space-time quantity U = ((N0/V0) / (Nu/Vu)) × U0 — a quantity that exists only in the nesting relationship, because only in a nesting relationship can the hidden variable K of the Meridian Touching Wave naturally cancel from both sides of the bridge relation KbV0 = KCj, yielding the constant Cj = bV0. Coexistence and isolation relationships do not satisfy this condition. Energy is this comparative quantity — it does not belong to a single Envelope Interface, but emerges from the nesting relationship between the Envelope Interface and the Envelope Interface's Touching Wave Packet. Finally, the geometric framework is mapped to the physical world: introducing the mass-speed factor k = m0 / (√2 • Vu), the comparative space-time quantity is converted into physical energy, yielding E = (c/d) • m0c² — which is precisely the total energy formula derived from the energy projection assumption in World Quantum Theory [4] §4.1. Two paths from entirely different starting points arrive at the same formula, demonstrating that this energy formula is not a physical assumption, but an inevitable mathematical consequence of the Envelope Interface geometric nesting structure.