Emergent Newtonian Gravity from the Collective Acoustic Metric of a Logarithmic Superfluid Vacuum

v7 (July 2026). Corrects the sign of the static PPN parameter to γ_static = (α−1)/(α+1), with the sign step now shown explicitly and cross-checked against the Nordström value at α = 0; the corrected form equals unity for no equation of state, strengthening the static-channel exclusion. The sound speed is promoted to a numbered equation with α = −1 derived in-paper from V′(ρ̄₀) = 0. Sec. 5.1 now states explicitly that neither dimensional analysis nor the static linear response supplies the 1/r falloff of the single-soliton ansatz, which originates in the flow channel and remains open. Sec. 7.2's continuity discussion replaces the previous quasi-steady estimate with the exact buildup rate of 3/2 per dynamical time and states the single-radius restriction of constant-rate vortex-core absorption. The pole at α = −1, the PG/Schwarzschild identity, γ = 1 for the flowing metric, and G_eff ∼ c²/(ξ²ρ₀) are unchanged.