On the Emergence of the Orthogonal Decomposition Formula of World Quantum Theory from Envelope Interface Nesting Structure

One of the core postulates of World Quantum Theory (WQT) is that the internal rotational velocity of the world quantum satisfies the orthogonal decomposition c² = v² + d², where c is the total velocity, v is the tangential component, and d is the radial component. This formula is introduced as a postulate in WQT, and its physical origin is not explained. Starting from the envelope interface nesting structure and citing the velocity hierarchy formula of the Meridian Envelope Interface, this paper demonstrates that this formula is not an independent assumption, but rather the necessary algebraic consequence of the orthogonal decomposition of the Meridian Envelope Interface's subspace velocities. This paper defines two types of rotation: the rotation of the parent Envelope Interface is called internal rotation, and the rotation of the Meridian Envelope Interface is called macro-rotation. The radial velocity Dₑ of internal rotation exists in the form K·c, where c is the constant fundamental velocity and K is the instantaneous spatial scale factor that varies with the expansion and contraction of the parent Envelope Interface. Dₑ forms the Meridian Envelope Interface in the radial direction, and the Meridian Envelope Interface takes |Dₑ| as its own resultant velocity. The three orthogonal subspace velocity components of the Meridian Envelope Interface satisfy Cᵤ² = Vᵤ² + Dᵤ² + Sᵤ² (citing the Meridian Envelope Interface paper). In the macro-rotation coordinate system, the spatial scale factor K appears on both sides of the equation and cancels naturally, yielding c² = Vᵤ² + Dᵤ² + Sᵤ². From the Survey Line Spiral constraint |Sᵤ| = |Dᵤ|, we naturally obtain c² = v² + d². For the Meridian Envelope Interface, the highest frequency of its space of existence is fₚ (Planck frequency), and its own macro-rotation frequency is f_w. In the real parent Envelope Interface coordinate system, the true frequency of the Meridian Envelope Interface is fₚ × f_w.