Gravity as Pushforward of Informational Geodesic Flow: Einstein Equations as Fixed-Point Stationarity, Not Correspondence Limit

Theorem (Path A) + Proposition (Geodesic Pushforward) + Open Question + Conjecture. At physical-regime configurations satisfying nabla Delta = 0 and V' (Deltaᵢnfinity) = 0, the variational equation delta SIMM/delta gᵐu nu = 0 yields exactly the Einstein field equations with cosmological constant. Not an approximation, not a correspondence limit, not an analogy: the physical regime is defined as the fixed point, and the Einstein equations are its exact stationarity conditions. Geodesic motion in spacetime is the projection-pushforward of variational flow on the informational manifold. Classical GR is recovered exactly in the heavy-field limit mDelta >> H₀; deviations testable at mDelta ~ H₀. Open Question: Newton's constant from first principles. Conjecture: spacetime dimensionality n=4 from fixed-point stability. Closes Paper 6's flow-field grounding question. Inherits from Paper 0 (axioms A2, A3, A6) ; builds on Papers 3 and 6.