因果熵原理的曲率约束
Curvature Constraints from the Causal Entropic Principle
摘要：
目前的宇宙学观测表明，人们倾向于选择一个比传统粒子物理学所能解释的小得多的宇宙学常数。因果熵原理（Bousso，{ \it et al}.）通过计算因果菱形中产生的熵，提供了另一种方法来预测我们观测到的宇宙学常数值。我们已经扩展了这项工作，使用因果熵原理来预测“多重宇宙”中的首选曲率。我们已经发现，大于$ρ_k = 40ρ_m$的值不受欢迎超过99.99%，并且对于开放宇宙，峰值在$ρ_Λ = 7.9 \times 10^{-123}$和$ρ_k =4.3 ρ_m$处。对于只允许正曲率或正负曲率的宇宙，我们发现曲率和暗能量之间的相关性，导致优选值的扩展区域。我们的宇宙被发现是不利的，在一定程度上取决于曲率的先验。我们还提供了一个比较以前的人择约束开放的宇宙，并讨论这项工作的未来方向。
英文摘要：
Current cosmological observations indicate a preference for a cosmological constant that is drastically smaller than what can be explained by conventional particle physics. The Causal Entropic Principle (Bousso, {\it et al}.) provides an alternative approach to anthropic attempts to predict our observed value of the cosmological constant by calculating the entropy created within a causal diamond. We have extended this work to use the Causal Entropic Principle to predict the preferred curvature within the "multiverse". We have found that values larger than $ρ_k = 40ρ_m$ are disfavored by more than 99.99% and a peak value at $ρ_Λ = 7.9 \times 10^{-123}$ and $ρ_k =4.3 ρ_m$ for open universes. For universes that allow only positive curvature or both positive and negative curvature, we find a correlation between curvature and dark energy that leads to an extended region of preferred values. Our universe is found to be disfavored to an extent depending the priors on curvature. We also provide a comparison to previous anthropic constraints on open universes and discuss future directions for this work.
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