This work presents a conservative and gravitational-wave–safe analysis of motion-induced gravitational couplings within the space–matter–motion (RMB) framework.Motion is implemented purely as an algebraic source modification, avoiding additional dynamical degrees of freedom and ensuring exact agreement with general relativity in vacuum. Using constraints from gravitational-wave propagation (GW170817), cosmological background evolution, linear structure growth, and weak gravitational lensing, we derive robust upper limits on the effective coupling strength,α₀ ≲ 0.02–0.03. The resulting cosmological effects are shown to be sub-percent and observationally consistent. Dynamical realizations with kinetic motion terms are ruled out by gravitational-wave constraints, while a GW-safe algebraic class remains viable. This work provides a systematic closure of the RMB cosmological framework and establishes quantitative upper bounds on motion-coupled gravity in the post-GW170817 era.
Davide Dellomonaco (Sun,) studied this question.