Building on the microscopic emergence theory of the order parameter space metric, this paper elevates the metric from a given function in the postulates to an independent dynamical variable. We construct a total action that includes the kinetic term of the metric itself, and perform a complete variation with respect to both the metric trace scalar and the order parameter. The variation yields the evolutionary time field equation, while revealing an exact cancellation between the metric gradient force and the geometric back-reaction force---from which the evolutionary time equivalence principle is condensed. The static spherically symmetric solution gives an inverse-radius scaling under the order-parameter-to-space mapping. After mapping to the spacetime metric via the spacetime emergence hypothesis, its scaling behavior near a type-B penetrable singularity is consistent with that of the Schwarzschild metric. Combined with the fluctuation--dissipation theorem and Jacobson's thermodynamic derivation, we prove that the Einstein field equations are an inevitable consequence of the evolutionary time field equation in the thermodynamic limit at the horizon. Four exclusive predictions unique to the evolutionary time field theory are presented: the time blockade effect, the evolutionary time equivalence principle, the quantum residual geometric force, and the dissipation-induced geometric force. All four can be directly tested on current experimental platforms such as cold-atom BECs. This paper is the sixth in a series. The axiomatic framework is established in a companion paper (DOI: 10.5281/zenodo.21325460), the microscopic foundation in a second (DOI: 10.5281/zenodo.21325754), the dynamical development in a third (DOI: 10.5281/zenodo.21325959), the taxonomy in a fourth (DOI: 10.5281/zenodo.21326064), and a gravitational-wave transient prediction in a fifth (DOI: 10.5281/zenodo.21326128).
涛 翟 (Sun,) studied this question.