Abstract Pressure-Mediated Gravity v9 extends the superfluid vacuum framework of PMG v7 with three improvements derived from the v8 theoretical review. The complex scalar field Phi (x) = sqrt (rhoₛ) exp (i theta) is retained as the fundamental degree of freedom, with the laminar-turbulent transition now governed by a dimensionless Vacuum Reynolds Number Rᵥ = |nabla Phib|/a0, replacing the phenomenological transition function f (k). In the turbulent regime (Rᵥ > 1), the equation of state w = 1/2 for the vortex medium is derived from first principles via the transverse tension of quantized filaments in an isotropic vortex glass, solidifying the 5/2 gravitational lensing boost factor on a rigorous physical basis. The baryon-superfluid interaction is reformulated as a covariant derivative coupling Lᵢnt = - (beta/a0 rhoc) Jᵐub partialₘu theta, with manifest dimensional consistency. These amendments strengthen the Bullet Cluster and CMB predictions of PMG v7 without altering their quantitative values. Three falsifiable predictions are refined: a growing CMB amplitude excess (+0. 7% to +5. 8% from ell₁ to ell₅, detectable at ~8sigma with CMB-S4), a B-mode polarisation phase shift of pi/4, and environmental variation a0 proportional to Hₗocal. A proposed resolution of the H0 tension via bulk vacuum viscosity is noted as a direction for Paper VIII but is not developed here pending a proper derivation.
Mohammad Jerrow (Tue,) studied this question.
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