Definition and Analysis of Form Acceleration in the Form Energy Formula

Within the WQT framework, this paper defines the "shadow radius" as the effective distance reading on the current projective layer: r = x · (c/d) · (l_p / 2π) and the "intrinsic radius" as: r_p = l_p / 2π The "shadow head length" is defined as h = r - r_p. On this basis, this paper defines "Form Acceleration": g_x = x · l_p^3 · f_p^2 / (2π h^2 + l_p h) and rigorously derives V_e = M_x · g_x · h from the Form Energy formula V_e = 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 Form Acceleration — it is a composite function of the environmental coupling factor x, the shadow head length h, and Planck-scale parameters. Keywords: Form Acceleration; shadow radius; shadow head length; Form Energy; World Quantum Theory; intrinsic radius Note on terminology: This paper uses Form Energy (V_e) instead of "potential energy." Form Energy is the energy that maintains a particle's spatial existence — its structure, boundary, and being. The classical term "potential energy" carries assumptions from Newtonian mechanics (external force fields, reference points) that do not apply in the WQT framework. Form Energy arises from the velocity decomposition c^2 = v^2 + d^2 and is given by V_e = m_0 c d — it is intrinsic, requires no external field, and has no arbitrary reference point. Note on "Form Acceleration": Form Acceleration is the acceleration that arises from Form Energy — the acceleration associated with the energy of "being" (maintaining spatial existence), as opposed to Run Energy (the energy of "moving"). It is the projective-layer reading that corresponds to the classical g in the formula V = mgh, but understood as a Form Energy effect rather than a fundamental gravitational constant. The name aligns directly with Form Energy: just as Form Energy is the energy of "being," Form Acceleration is the acceleration of "being."