This work develops a non-equilibrium interpretation of gravitation within the framework of Finite Relaxation Geometry (FRG), where spacetime is treated as a geometric system possessing finite response time, relaxation dynamics, and geometric memory. Unlike the standard equilibrium interpretation of General Relativity, FRG interprets gravitation as a delayed geometric response to curvature perturbations. Einstein’s field equations remain unchanged and continue to define equilibrium spacetime configurations, while the physically realized geometry may evolve toward these configurations over finite timescales characterized by a geometric relaxation parameter. Within this framework, weak-field gravitational phenomena, galactic halos, and cosmological-scale effects may emerge as manifestations of incomplete geometric relaxation rather than additional matter components or modified gravitational laws. FRG preserves local Lorentz invariance, causality, and standard gravitational-wave propagation while introducing no new fundamental fields, particles, or modifications of the Einstein–Hilbert action. The framework is formulated as an effective non-equilibrium interpretational extension of relativistic gravitation.
Pavlo Zabrodin (Tue,) studied this question.