Friedmann Propulsion in a Flat Holographic Universe

Because of inversion symmetries in holographic systems, the spatial compression of lower-dimensional holographic memory leads to an expansion of the holographic image and vice versa (scaling duality), where the geometric mean between the small quantum memory and cosmic image scale defines the inversion scale, the unit scale to normalize the global holographic currents of momentum exchange. Assigning to the cosmic image (bulk) a 4d, to the quantum memory (baryon) a 2d, and to the inversion scale a 3d spherical topology, the cosmic critical density in the flat FRW cosmic test model corresponds to at least 1 natural memory unit (baryon mass) per unit scale volume. Otherwise, if we expect expansion driven by 3d Einstein gravity on all scales, we get the well known cosmic “dark matter” deficit of 96% and about 25 natural memory units per unit scale volume. The cosmic deficit or quantum excess is assigned by Gauss law to the topological ratio 4d bulk surface S3 to 2d quantum surface S1, which dilutes gravity to 4% by the dimensionless factor 0.04 ~ S3/2/S1 3 = 1/(8π) leading to a theoretical Hubble parameter of 73.2 kmsMpc. Regarding propulsion based on fractional linear transforms mapping the quantum compression by inversion to a cosmic expansion, the anisotropic transform resembles the Alcubierre mechanism if expansion is behind and the compression ahead of the spaceship.