Derivation of the Energy Formula When the Electron Serves as the Parent Envelope Interface

Within the framework of World Quantum Theory (WQT) and the Envelope Interface nesting structure, this paper derives the complete energy formula system when the electron serves as the parent Envelope Interface. Starting from the electron's radial-central resultant velocity d_e, the electron light speed c_e = D_0 = d_e/sqrt(2) is derived through the Envelope Interface identity. The Comparative Space-Time Quantity formula U = (c_e/d_s) * v_s * c_e^2 is established at the electron Envelope Interface level, and the mass-speed factor k = m_s/v_s is introduced to obtain the energy formula E_s = (c_e/d_s) * m_s * c_e^2. On this basis, the generalized light quantum energy formula at the electron level, E_s = x_s * hbar_e * f_s * (c_e/v_s)^2, is further derived, and the complete equivalence of the two forms is proven. This derivation demonstrates that the energy formula automatically repeats at every level of the Envelope Interface — each level uses its own light speed, and the structure is identical, because every level is a complete Envelope Interface nesting structure. Keywords: electron light speed, Envelope Interface nesting, Comparative Space-Time Quantity, mass-speed factor, generalized light quantum energy formula, projection coupling factor