Analysis of the Nature of Kinetic Energy and Potential Energy within the World Quantum Theory Framework
Abstract
Within the World Quantum Theory (WQT) framework, starting from the total energy formula E = gamma m_0 c^2 and the velocity decomposition c^2 = v^2 + d^2, this paper derives the expressions for Run Energy T_e and Form Energy V_e, and thereby reveals the physical nature of the Lagrangian L = T_e - V_e and the Hamiltonian H = T_e + V_e. Run Energy T_e = (c/d) m_0 v^2 is the energy contribution that maintains the particle's dynamic rotation (tangential motion). Form Energy V_e = m_0 c d is the energy contribution that maintains the particle's spatial existence (static structure). Their sum is the total energy: E = T_e + V_e. This is not a vector addition of orthogonal directional components — it is a scalar sum of two different modes of energy: the energy of "moving" and the energy of "being." We point out that: · The Hamiltonian H = T_e + V_e is an empirical formula summarized from macroscopic phenomena in traditional physics. It correctly adds the energy of motion and the energy of structure to obtain the total energy. · But traditional physics does not know that these two contributions arise from the velocity decomposition c^2 = v^2 + d^2 and represent two fundamentally different modes of existence — dynamic rotation and static structure. · WQT reveals that total energy is the sum of two modes, not two directions: E = (energy of moving) + (energy of being). We use the terms Run Energy (跑能) and Form Energy (形能) instead of "kinetic energy" and "potential energy" to avoid…
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