We present an alternative derivation of the Parametrized Post-Newtonian (PPN) parameters for spatial curvature () and temporal non-linearity () within a strictly relational, background-independent -body cosmology. Rather than treating these values as axiomatic properties of a reified four-dimensional spacetime container, as in standard General Relativity, we demonstrate that the coordinate distortions traditionally attributed to geometric curvature emerge from a single information-theoretic law governing the signal throughput of an emergent material medium mapped onto a flat Euclidean coordinate grid. By modeling duration and distance as macro-averaged counts of discrete wave-interaction events across a chaotic cosmic ensemble, we reframe the localized potential well as an active processing network. We demonstrate that sequential, dependent latency layers compound multiplicatively—analogous to Beer-Lambert attenuation layers in classical radiative transfer—deriving a singular exponential medium throughput factor, . From this single constitutive parameter, we show that proper clock rates scale directly with throughput (), while operationally measured spatial intervals scale with its reciprocal (), naturally deriving the reciprocity of the Yilmaz exponential metric and Puthoff's Polarizable Vacuum weak-field scorecard. This unified framework natively yields the precise weak-field scorecards of and once constrained by the Newtonian limit. Finally, we address the structural relationship between this emergent metric ledger and microscopic particle dynamics, providing an explicit action-equivalence proof that resolves the potential double-counting objection and anchors metric gravity within relational systems mechanics.
Richard Rebo (Sun,) studied this question.