Big-Bang Turbulence, Mixing, and Fossil Turbulence

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

The first turbulence occurred at the beginning of time t during the epoch of quantum gravitational dynamics. A fluid mechanical hot-big-bang model is proposed where the formation of space-time-mass-energy is driven by Planck scale inertial-vortex forces between non-spinning Planck particles (extreme Schwarzschild black holes) and a spinning first-quantum-state (an extreme Kerr black hole) termed a Planck-Kerr particle, formed when a Planck particle and antiparticle fail to annihilate and go into orbit. Prograde collisions between Planck and Planck-Kerr particles trigger further Planck pair production and a turbulent cascade of vorticity to horizon scales LH = ct during cooling to the strong force freeze out temperature T_SF = 10-4 T_P, where c is the speed of light. Because viscous stresses are transferred at Planck scales LP = 10-8 L_H_SF, the Reynolds number Re = LH T_H^1/2 /LP T_P^1/2 >> 1 increases to a maximum value of 10^6 where negative gluon viscous stresses rapidly stretch (inflate) the turbulent temperature fluctuations beyond the horizon scale L_H_SF = c t_SF = 10^8 c tP of causal connection, forming fossil temperature turbulence patterns that are reflected in the cosmic microwave background and in complexes of galaxy superclusters. abstract. format. as

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