Hydro-gravitational fragmentation, diffusion and condensation of the primordial plasma, dark-matter and gas

The first structures were proto-voids formed in the primordial plasma. Viscous and weak turbulence forces balanced gravitational forces when the scale of causal connection LH ≡ ct ≈ LSV ≡ (γν/ρG) 1/2 ≈ LST ≡ ε /(ρG) at time t ≈ 30,000 years (10 s), with c the speed of light, γ ≈ 1/t the rate of strain, and ν the kinematic viscosity, where LSV and LST are viscous and turbulent Schwarz scales of hydro-gravitational theory (Gibson 1996). The photon viscosity ν ≈ 4 × 10 m s allows only weak turbulence from the Reynolds number ReH ≡ c t/ν ≈ 200, with fragmentation at ρL3SV ≈ 10 16M⊙ to give proto-supercluster voids, buoyancy forces, fossil vorticity turbulence, and strong sonic damping. The expanding, cooling plasma continued fragmentation to protogalaxy-mass ≈ 1012M⊙, with ρ ≈ 10 −17 kg m and γ ≈ 10 s preserved as fossils of the weak turbulence and first structure. Turbulence fossilization by selfgravitational buoyancy explains the δT/T ≈ 10 cosmic microwave background temperature fluctuations, not sonic oscillations in cold-dark-matter fragments. After plasma to gas transition at t ≈ 300,000 years (10 s), gas fragmentation occurred within proto-galaxies at LJ ≈ 10 4LSV and LSV ≈ LST scales to form proto-globular-star-cluster (PGCs) clouds of 10 small-planetary-mass primordial-fog-particles (PFPs). Dark PGC clumps of frozen PFPs persist as inner-galaxy-halo dark matter, supporting Schild’s 1996 quasar-microlensing interpretation. Non-baryonic dark matter, with D ≫ 10 m s, diffused into the plasma proto-cluster-voids and later fragmented as outer-galaxy-halos at diffusive Schwarz scales LSD ≡ (D /ρG), indicating m ≈ 10 kg weakly-collisional fluid particles. Observations (Gibson & Schild 2003) support the theory. Center for Astrophysics and Space Sciences, UCSD