Derivation of the Law of Universal Gravitation

Starting from the three postulates of World Quantum Theory (WQT), this paper defines the shadow radius as r = x•(c/d)•l_p, the intrinsic radius as r_p = l_p/(2π), and the shadow head length as h = r - r_p. From these, we derive the generalized gravitational acceleration g_x = x•l_p³•f_p² / (2π•h² + l_p•h), and further derive the universal gravitation formula F = G_x•M_x•m_p / r². This paper reveals that the classical Newtonian gravitation formula F = GMm/R² is an approximation of the WQT gravitation formula in the macroscopic limit (h >> l_p), where R is in fact the shadow head length h, and the intrinsic radius r_p is implicitly discarded in the classical formula. This derivation introduces no additional assumptions; all conclusions follow from the three WQT postulates and the Planck reference parameters. Keywords: universal gravitation; shadow radius; intrinsic radius; shadow head length; World Quantum Theory; projective layer