Growth-Rate Prediction of the Frame Dark Sector: f-Sigma-Eight Against Redshift-Space Distortion Measurements

This paper computes the growth-rate observable, the product of the logarithmic growth rate and the fluctuation amplitude, for the frame's dark sector, whose dark energy is geometric with an equation of state permitted to drift within the bound derived from fifth-coordinate dynamics. A numerical integration of the linear growth equation in the drifting and constant cases is compared with representative published redshift-space distortion measurements between redshifts 0.07 and 1.4. The constant case tracks the measurements within their uncertainties. The maximally drifting allowed case lowers the predicted product at redshift one half by about one and a half percent, below current per-point precision but within reach of combined surveys. The spin and shear contributions change the prediction by far less than any measurable amount. Headline values are: fsigma8 z0p5 const = 4.742e-01, fsigma8 z0p5 drift = 4.676e-01, drift percent z0p5 = -1.380e+00, fsigma8 z0 = 4.298e-01. This study is simulated and computed from stated assumptions; it is not a measurement.