Definition and Analysis of Generalized Gravitational Acceleration

Within the WQT framework, this paper defines the "shadow radius" as r = x·(c/d)·l_p and the "intrinsic radius" as rp = l_p/(2π), and defines the "shadow head length" as h = r - rp. On this basis, this paper defines the "generalized gravitational acceleration" g_x = x·l_p³·f_p² / (2π·h² + l_p·h), and rigorously derives V = M_x·g_x·h from the potential energy formula V = G_x·M_x·m_p/r. This derivation re-expresses the classical potential energy formula V = mgh within the WQT framework as a projective-layer reading, and reveals the physical nature of generalized gravitational acceleration—it is a composite function of the environmental coupling factor x, the shadow head length h, and Planck-scale parameters. Keywords: generalized gravitational acceleration; shadow radius; shadow head length; potential energy; World Quantum Theory