论文标题

重新访问量子宇宙学中的宇宙恒定问题

Revisiting the Cosmological Constant Problem within Quantum Cosmology

论文作者

Gueorguiev, Vesselin G., Maeder, Andre

论文摘要

在量子宇宙学方法中提出并讨论了有关宇宙常数问题(CCP)的新观点。假定宇宙合奏的每个成员都有一个特征性量表$ a $,可以用作分区函数中的集成变量。通过仅使用满足爱因斯坦磁场方程的成员来估计集合的平均特征量表。当考虑到具有有效宇宙常数的爱因斯坦田间方程的解决方案时,平均特征量表与普朗克的长度兼容。多宇宙合奏在普朗克种子的宇宙中分裂,其真空能量密度为一;因此,普朗克单元中的$ \tildeλ\约8π$和$ a $ drivivable的宇宙。 For~$a$-derivable universe with a characteristic scale of the order of the observed Universe $a\approx 8\times10^{60}$, the cosmological constant $Λ=\tildeΛ/a^{2}$ is in the range $10^{-121}$--$10^{-122}$, which is close in magnitude to the observed value $10^{-123}$.我们指出,如果$λ$的较小度与宇宙的熵相关,则可以认为是自然的。 CCP的这种方法核对了Planck尺度的巨大真空能量密度,这是QFT考虑的预测,对Planck种子宇宙有效,观察到的宇宙学常数的小值与$ a $ a $ der-odivable可衍生的宇宙相关。

A new perspective on the Cosmological Constant Problem (CCP) is proposed and discussed within the multiverse approach of Quantum Cosmology. It is assumed that each member of the ensemble of universes has a characteristic scale $a$ that can be used as integration variable in the partition function. An averaged characteristic scale of the ensemble is estimated by using only members that satisfy the Einstein field equations. The averaged characteristic scale is compatible with the Planck length when considering an ensemble of solutions to the Einstein field equations with an effective cosmological constant. The multiverse ensemble is split in Planck-seed universes with vacuum energy density of order one; thus, $ \tildeΛ\approx 8π$ in Planck units and $a$-derivable universes. For~$a$-derivable universe with a characteristic scale of the order of the observed Universe $a\approx 8\times10^{60}$, the cosmological constant $Λ=\tildeΛ/a^{2}$ is in the range $10^{-121}$--$10^{-122}$, which is close in magnitude to the observed value $10^{-123}$. We point out that the smallness of $Λ$ can be viewed to be natural if its value is associated with the entropy of the Universe. This approach to the CCP reconciles the Planck-scale huge vacuum energy--density predicted by QFT considerations, as valid for Planck-seed universes, with the observed small value of the cosmological constant as relevant to an $a$-derivable universe as~observed.

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