Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy

In this paper, we study the changes of quantum effects of a growing universe by using Wheeler-DeWitt equation (WDWE) together with de Broglie-Bohm quantum trajectory approach. From WDWE, we obtain the quantum modified Friedmann equations which have additional terms called quantum potential compared...

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Main Authors: Dongshan He, Qing-yu Cai
Format: Article
Language:English
Published: Elsevier 2020-10-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320305505
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author Dongshan He
Qing-yu Cai
author_facet Dongshan He
Qing-yu Cai
author_sort Dongshan He
collection DOAJ
description In this paper, we study the changes of quantum effects of a growing universe by using Wheeler-DeWitt equation (WDWE) together with de Broglie-Bohm quantum trajectory approach. From WDWE, we obtain the quantum modified Friedmann equations which have additional terms called quantum potential compared to standard Friedmann equations. The quantum potential governs the behavior of the early universe, providing energy for inflation, while it decreases rapidly as the universe grows. The quantum potential of the grown-up universe is much smaller than that required for accelerating expansion. This indicates that quantum effects of our universe cannot be treated as a candidate for dark energy.
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spelling doaj.art-892e4bb9b8a543f0a2b67bbb458209c82022-12-21T23:42:19ZengElsevierPhysics Letters B0370-26932020-10-01809135747Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energyDongshan He0Qing-yu Cai1College of Physics & Electronic Engineering, Xianyang Normal University, Xianyang 712000, ChinaState Key Laboratory of Magnetic Resonances and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China; Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China; Corresponding author at: State Key Laboratory of Magnetic Resonances and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China.In this paper, we study the changes of quantum effects of a growing universe by using Wheeler-DeWitt equation (WDWE) together with de Broglie-Bohm quantum trajectory approach. From WDWE, we obtain the quantum modified Friedmann equations which have additional terms called quantum potential compared to standard Friedmann equations. The quantum potential governs the behavior of the early universe, providing energy for inflation, while it decreases rapidly as the universe grows. The quantum potential of the grown-up universe is much smaller than that required for accelerating expansion. This indicates that quantum effects of our universe cannot be treated as a candidate for dark energy.http://www.sciencedirect.com/science/article/pii/S0370269320305505Dark energyWheeler-DeWitt equationQuantum potentialInflation
spellingShingle Dongshan He
Qing-yu Cai
Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy
Physics Letters B
Dark energy
Wheeler-DeWitt equation
Quantum potential
Inflation
title Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy
title_full Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy
title_fullStr Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy
title_full_unstemmed Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy
title_short Wheeler-DeWitt equation rejects quantum effects of grown-up universes as a candidate for dark energy
title_sort wheeler dewitt equation rejects quantum effects of grown up universes as a candidate for dark energy
topic Dark energy
Wheeler-DeWitt equation
Quantum potential
Inflation
url http://www.sciencedirect.com/science/article/pii/S0370269320305505
work_keys_str_mv AT dongshanhe wheelerdewittequationrejectsquantumeffectsofgrownupuniversesasacandidatefordarkenergy
AT qingyucai wheelerdewittequationrejectsquantumeffectsofgrownupuniversesasacandidatefordarkenergy