Turbulence in cosmology. III - The effect of non-linear interactions on the universe expansion law - Quantum turbulence near singularity

Astronomy and Astrophysics – Astrophysics

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Big Bang Cosmology, Nonlinear Systems, Particle Interactions, Quantum Theory, Turbulence Effects, Universe, Classical Mechanics, Curvature, Kinetic Equations, Perturbation Theory, Phonons, Relativity, Space-Time Functions

Scientific paper

On the basis of a previously developed theory, the kinetic equations for the spectra of classical and quantum short-wave turbulence have been obtained, taking account of the influence of the latter on the process of cosmological expansion of a homogeneous and, on the average, isotropic universe. The equilibrium and steady-state spectra of the turbulence do not change the form of the cosmological solution found earlier. The latter change if the spectra are time-dependent or if the dissipation is taken into account. It is possible that a situation exists in which the primordial short-wave turbulence, having had a significant influence on the early metric, would not be observable at the present time. Quantum turbulence has been studied. Its influence on the metric may be significant only near the Planck time.

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