Universal Reactivity: Corrected Formal Audit and Empirical Validation of the Constant (k) with Falsifiable GWTC Datasets

This work presents a fully reconstructed and data‑driven analysis of gravitational‑wave events from the GWTC catalogs, leading to the identification of an emergent parameter, k, interpreted as an effective response of the spacetime medium to dynamical geometric complexity. Unlike traditional source‑based parameters, k is extracted directly from the morphology of the strain signal and exhibits a stable baseline under simple dynamical conditions, with significant amplification in systems characterized by high spin, precession, mass asymmetry, or geometric irregularity. The study introduces a revised version of the RU framework, rebuilt from first principles to ensure transparency, reproducibility, and independence from prior computational biases. The analysis includes a complete re‑evaluation of preprocessing, morphology metrics, uncertainty quantification, and statistical grouping across 368 gravitational‑wave events. The results reveal two distinct dynamical regimes—baseline and activated—and provide evidence for a saturation behavior of the spacetime response at high curvature. The work does not propose a new fundamental theory but offers a testable phenomenological model in which spacetime behaves as a responsive continuum with elastic, nonlinear, and saturating properties. The emergent parameter k serves as a probe of these effective behaviors, opening a new line of investigation into the material nature of the gravitational environment. All datasets, code, and figures are included to support full reproducibility and independent verification.