The Physical Origin of the Spatial Norm Formula

The Euclidean norm (magnitude) formula, , is mathematically regarded as the natural metric induced by the inner product. However, the physical reason why it maintains the same form across all dimensions lacks explanation. Based on the first postulates of World Quantum Theory (WQT), this paper utilizes the eigen-binary form of Postulate 2 (Orthogonal Velocity Decomposition) to recursively derive multidimensional orthogonal decomposition: Furthermore, combining Postulate 3 (Energy Projection) with the conservation requirement of the environmental coupling factor , we rigorously derive the physical origin of the Euclidean norm formula.