The fluid mechanics of dark matter formation

Jeans’s (1902 & 1929) gravitational instability criterion gives truly spectacular errors in its predictions of cosmological structure formation according to Gibson’s (1996) new theory. It is suggested that the linear perturbation stability analysis leading to the acoustic Jeans length scale criterion L ≥ LJ ≡ Vs/(ρG) 1/2 is quite irrelevant to gravitational condensation, which is intrinsically nonlinear and nonacoustic. Instead, condensation is limited by viscous or turbulent forces, or by diffusivity, at Schwarz length scales LSV , LST , or LSD, respectively, whichever is larger, independent of LJ and the sound speed Vs. By these new criteria, cosmological structure formation begins in the plasma epoch soon after matter dominates energy, at L ≈ LSV ≡ (γν/ρG) 1/2 scales corresponding to protosuperclusters, decreasing to protogalaxies at the plasma-gas transition, where γ is the rate-of-strain of the expanding universe, ν is the kinematic viscosity, ρ is the density, and G is Newton’s gravitational constant. Condensation of the primordial gas occurs at mass scales a trillion times less than the Jeans mass to form a ‘fog’ of micro-browndwarf (MBD) particles that persist as the galactic baryonic dark matter, as reported by Schild (1996) from quasar-microlensing studies. Nonbaryonic dark matter condensation is prevented by its enormous diffusivity at scales smaller than LSD ≡ (D /ρG), where D is the diffusivity, so it forms outer halos of galaxies, cluster-halos of galaxy clusters, and supercluster-halos.