The modes of evolution of the quantum universe
For the description of the quantum universe evolution it has been suggested an equation, which particular case is the equation of the dynamics of the inflationary universe. It has been considered a possible sequence of the four modes of the quantum universe.
For the linear damped harmonic oscillation the equation of motion is the following :
Equation (1) from the classic theory of oscillations completely coincides with the equations, which describe the inflationary universe, that is filled in by the scalar field φ [2, 3]:
Let us note also that if θ-1=3, then 2θ = ωτ =2/3. In that case the time of the oscillator damping is
However, taking into account the influence on the oscillations of the positive and negative feed-back, connected with the dynamic of the evolution of vacuum fields, it is necessary to use the equation
Equation (4) is equivalent to equation for the damped or exited harmonic oscillator with the modified quality
The influence of the positive and negative feed-back is described with the use of the modified quality, which is shown on Fig. 1
From this, more common point of view, the theory of the inflationary universe is a particular case of the oscillations of the φ-field, or the universe as a whole, described by equation (6).
The existence of the other modes, which the universe has to give in the process of its evolution, follows from (5) and Fig. 1. In this case the universe in the process of its development can pass, apparently, all modes with θ*-1(-∞;+∞) and a(+∞;-∞). That time θ*-1≤0 (a≥1), but the concrete values of θ*-1 and a will be made more precise by the further experimental and theoretical researches.
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