Geometric Derivation of Gravitational Constant G as Rendering Latency – Validation of Universe OS V10-B: Proof Core v1.2 (Vol. 6) –

This paper presents a novel derivation of the gravitational constant ($G$) within the framework of Universe OS (UOS) V10-B, a digital physics paradigm that models the universe as a multi-layered computational system. Moving beyond the traditional view of gravity as a fundamental force, this study identifies $G$ as a "System Rendering Cost" (lattice impedance) occurring during coordinate updates in the system's middleware (Layer 456). The derivation is based on the following architectural specifications: \begin{itemize} \item A 128-bit physical register width and a 512-division resource allocation. \item Spatial compression via a projection window constant ($N_{\text{proj}}$). \item A sampling-axis shift caused…