Mismatch of Potential and Kinetic Energy: On Why F = GMm/R^2 and F = mg Cannot Be Equated

In classical physics, Newton's law of gravitation F = GMm/R² and the weight formula F = mg are treated as equivalent, from which g = GM/R² is derived. Based on the World Quantum Theory (WQT) framework and the results from the companion paper "Definition and Physical Analysis of Kinetic Acceleration," this paper demonstrates that these two formulas cannot be equated, as they originate from two different energy sources — potential energy and kinetic energy respectively. F = GMm/R² is the force from potential energy; F = mg is the kinetic force F_t = g_t • m_0 from the kinetic framework. They are numerically equal only under the special condition v = d (i.e., internal rotational speed equals macro-rotational wave speed). This condition is an implicit assumption that classical physics has never declared nor tested. Keywords: mismatch; potential energy; kinetic energy; kinetic acceleration; WQT; v = d