A chaotic universe, Friedmann in the mean. III - Ultrarelativistic matter, modified big bang and constraints on disorder

Physics

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Big Bang Cosmology, Fluctuation Theory, Matter (Physics), Relativistic Particles, Universe, Equations Of State, Spectral Energy Distribution, Statistical Analysis, Thermodynamic Equilibrium

Scientific paper

Equations for the correlation functions that describe a statistically chaotic universe are solved. From these solutions the corresponding changes in the standard big-bang scenario are determined, and the degree of disorder (i.e., constraints on the fluctuation spectrum) which an initially completely chaotic universe could have retained by the epoch t(es) of light-element nucleosynthesis is established. The time boundaries of the hadron and lepton eras as well as the epochs when electron neutrinos and neutrons become frozen out in weak interactions shift by a factor of up to 1.4 compared with the standard model; the corresponding temperature will drop to 0.88 times the standard value if the rms level of fluctuations averaged over the spectrum during these eras is of order unity.

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