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Open Quantum Systems Decoherence

Dynamical interpretation of the wavefunction of the universe

arXiv
Authors: Dongshan He, Dongfeng Gao, Qing-yu Cai

Year

2015

Paper ID

27966

Status

Preprint

Abstract Read

~2 min

Abstract Words

125

Citations

N/A

Abstract

In this paper, we study the physical meaning of the wavefunction of the universe. With the continuity equation derived from the Wheeler-DeWitt (WDW) equation in the minisuperspace model, we show that the quantity ρ(a)=|ψ(a)|2 for the universe is inversely proportional to the Hubble parameter of the universe. Thus, ρ(a) represents the probability density of the universe staying in the state a during its evolution, which we call the dynamical interpretation of the wavefunction of the universe. We demonstrate that the dynamical interpretation can predict the evolution laws of the universe in the classical limit as those given by the Friedmann equation. Furthermore, we show that the value of the operator ordering factor p in the WDW equation can be determined to be p=-2.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • In this paper, we study the physical meaning of the wavefunction of the universe.

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