This preprint presents a galactic weak-field realization of a state-dependent nonlocal gravity framework and tests whether a regulated nonlocal kernel can reproduce disc-galaxy phenomenology within a finite activity band. The model is formulated through a modified linearized Einstein-tensor kernel with smooth band regulator, leading in the stated weak-field regime to a modified Poisson relation, equality of scalar potentials in the regulated pole-free sector, and an intermediate-band force law with asymptotic relation vᵢnfinity² = 2GMgamma/pi. The manuscript develops a coupling decompositiongammaₑff (M) = chiᵣaw (M) /Ad (M) C (M), treated as a definition-level identity once the geometry baseline and correction sector are fixed, and maps the resulting scaling structure to BTFR and conditional RAR consequences. A full-kernel numerical check is reported for the force-law behavior in the tested band. The manuscript also reports a 175-galaxy rotation-curve confrontation, matched regulator-family robustness checks, and an initial same-kernel toy weak-lensing consistency pass. This is an effective weak-field preprint intended for external scrutiny. It does not claim a full microscopic derivation, cluster-scale closure, or cosmological completion. The branch is presented as falsifiable by failure of joint rotation-curve and weak-lensing fits under one homogeneous kernel/closure sector, by loss of BTFR/RAR consistency under stronger covariance-aware confrontation, or by failure of in-band regulator robustness. Code and reproducibility Project repository and reproducibility assets: https: //github. com/EliasRipley/State-Dependent-Gravity
Elias Ripley (Sun,) studied this question.