Analysis of the Nature of Kinetic Energy and Potential Energy within the World Quantum Theory Framework

Within the World Quantum Theory (WQT) framework, starting from the total energy formula E = gamma * m0 * c^2 and the orthogonal decomposition c^2 = v^2 + d^2, this paper derives the expressions for kinetic energy T and potential energy V, and thereby reveals the physical nature of the Lagrangian L = T - V and the Hamiltonian H = T + V. We point out that: · The Hamiltonian H = T + V is an empirical formula summarized from macroscopic phenomena in traditional physics. It correctly adds the energy contributions of macro-rotation (tangential motion) and internal rotation (radial confinement) to obtain the total energy. · But traditional physics does not know that these two contributions correspond respectively to the two orthogonal directions of the particle's own existence — tangential (v) and radial (d). It only observes two energy contributions from the outside and adds them together. · WQT, starting from the particle's own existence, reveals the essential origins of kinetic energy and potential energy through orthogonal decomposition c^2 = v^2 + d^2 and energy expansion E = (c/d)m0v^2 + m0*c*d, providing the complete physical picture that the traditional empirical formula lacks.