Vacuum polarisation and the initial conditions of cosmological evolution

Mathematics – Logic

Scientific paper

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Big Bang Cosmology, Grand Unified Theory, Polarized Radiation, Baryons, Hubble Constant, Quantum Mechanics, Space-Time Functions

Scientific paper

The evolution of spatially closed cosmological models including vacuum polarization effects is discussed. An intermediate inflationary stage and the later particle production and thermalization lead to the transition of the initially Planck sized vacuum universe to the standard radiation dominated Friedman universe of reasonable size. The nonlinearity of the equations causes the essential dependence of the global behavior of solutions on the initial conditions and the existence of oscillating vacuum solutions for discrete initial values.

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