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

Within the WQT framework, starting from the total energy formula E = γm₀c² and the orthogonal decomposition c² = v² + d², 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 demonstrate that L is the difference-reading of total energy along two orthogonal directions, reporting whether the system tends toward expansion or contraction; H is the arithmetic-sum-reading of total energy, not the total energy itself. The true total energy is given by the Pythagorean theorem E² = Eₚ² + Eₘ².