The Essence of Rest Mass and Momentum: Orthogonal Decomposition of Energy Structure in World Quantum Theory

Within the framework of World Quantum Theory, this paper proposes that a particle's rest mass and momentum are not independent attributes, but rather projections of its intrinsic energy Eq onto two orthogonal directions: the radial component (d) and the tangential component (v). By substituting the relativistic total energy Eq=γm0c2 into the orthogonal equation of World Quantum Theory, we derive:E_m=d/c⋅E_q ,〖 E〗_p=v/c⋅E_q where the geometric constraint c2=d2+v2 forms the foundation of the energy projection. This model naturally yields the relativistic energy-momentum relation E_q^2=(pc)^2+(mc^2 )^2, and reveals that rest mass reflects the "degree of confinement" (radial oscillation) of energy within the environment, while momentum represents the "degree of motion" (tangential flow) of energy in spacetime. Together, they constitute the dual nature of particle existence. World Quantum Theory: https://zenodo.org/records/17092279