Why G in Gravitational Physics?A Causal Propagation Framework for Newton’s Constant in a Computed Universe

This paper presents a causal-geometric derivation of Newton’s gravitational constant G, embedding it within the Computed Universe (CU) model — a first-principles framework in which all physical laws emerge from discrete, surface-propagated causal updates. Rather than treating G as an empirical constant, the paper shows it to be fully derivable from Planck-scale quantities and geometric propagation constraints.<br>Key contributions include:<br>The derivation of G via multiple formulations:G = l_P . E_P / m_P^2G = hbar . c / m_P^2The Parkinson Coupling Expression: G = l_P . c^4 / E_PDemonstration that gravitational weakening and time dilation are outcomes of causal update dilution over volumetric shells.Integration with the CU model’s energy propagation view, linking E = mc^2, fanout curvature, and voxel-based surface transitions.A unification pathway showing that the CU model naturally produces relativistic gravitational behavior while preserving quantum consistency.<br><br>The paper argues that G is not an arbitrary scaling factor but a necessary coupling term that balances curvature, energy, and causal saturation. This foundational insight contributes to a broader initiative to re-derive all of physics from minimal causal axioms — advancing the CU model as a general theory of reality.<br>This paper forms part of the Computed Universe series, connecting gravitational physics with deeper causal laws expressed through surface action and propagation geometry.