HopfionSeries Paper VII - Gravity, Inflation, Dark Energy, and Electroweak Structure from the Density-Feedback Hopfion Condensate

We extend the density-feedback Faddeev–Niemi Hopfion framework of Papers I–VI from its Standard-Model and QCD predictions to cosmological and gravitational observables. Starting from four axioms of the semi-Dirac scalar field ρ whose condensate is the Q = 2 icosahedral Hopfion vacuum established in Paper I, we derive: Newtonian gravity from gradient flux imbalance with GN = Gsrc2/(4πφ6); the weak-field Schwarzschild and Kerr acoustic metrics with Gμν = 0 in the exterior verified without assumption; an induced Einstein–Hilbert term from one-loop fluctuations with MPl2 = ΛUV2/(32π2) and ΛUV ≈ 0.0557 MPl; the cosmological constant hierarchy Λobs = Λ0 exp(−φ7/β) ≈ 10−122MPl4; CMB inflationary predictions ns =…