State-Dependent Gravitational Response

State-Dependent Gravitational Response (SDGR) investigates whether the excess gravitational-lensing response observed in galaxy clusters, beyond the calculated baryonic contribution, follows measurable differences in the physical organization and structural state of matter. The framework begins with the observed gravitational-lensing convergence field and the calculated baryonic contribution from gas and stellar surface mass. Their difference defines the residual convergence field, whose root-mean-square magnitude is represented by (K_X). A fixed mathematical relationship uses measured cluster profile, coherence, and lensing-field properties to calculate the magnitude of this excess response. The equation was developed from an original six-cluster sample and subsequently evaluated across a ten-cluster matrix, including four additional systems, without changing the coefficients. Using the corrected authoritative feature-input matrix, the ten-cluster calculation reproduces the reported numerical predictions with a mean absolute percentage error of approximately 2.32%, a maximum error of approximately 5.91%, and (R^2) of approximately 0.993. SDGR investigates whether matter distribution, organization, motion, and internal physical interactions may contribute to the resulting gravitational response. Inertia-driven reorganization is considered as a possible component of this physical process, rather than as an independently assumed additional force. The existing calculations establish a quantitative relationship within the retained observational measurements. They do not yet constitute an independent causal demonstration that the proposed physical-state mechanism generates the observed lensing excess. Further validation requires independently measured three-dimensional matter distribution, velocity, and stress fields. The publication presents the mathematical framework, baryonic baseline, observational methodology, fixed equation, cluster comparisons, and reproducibility records for independent examination and further testing.