标度因子截断测度下Ω_k的分布
The distribution of Omega_k from the scale-factor cutoff measure
摘要：
我们的宇宙可能包含在一个不断膨胀的多元宇宙中的一个分散的泡沫中。一个有希望的措施来调节这样一个多元宇宙的发散时空体积是标度因子截止，其中一个特点是泡沫没有奖励有一个较长的持续时间的慢卷膨胀。因此，根据像我们这样的气泡中暴胀的e折叠数的景观分布，我们可能希望测量时空曲率。我们研究了最近提出的一个景观中的通货膨胀卡通模型，并发现我们宇宙中的曲率远高于宇宙方差预期值的合理机会（约10%）。人择选择并不强烈地选择像观测到的那样小的曲率（相对较大的值），这意味着曲率的观测界限可以用来排除通常给出太少通货膨胀的景观模型。
英文摘要：
Our universe may be contained in one among a diverging number of bubbles that nucleate within an eternally inflating multiverse. A promising measure to regulate the diverging spacetime volume of such a multiverse is the scale-factor cutoff, one feature of which is bubbles are not rewarded for having a longer duration of slow-roll inflation. Thus, depending on the landscape distribution of the number of e-folds of inflation among bubbles like ours, we might hope to measure spacetime curvature. We study a recently proposed cartoon model of inflation in the landscape and find a reasonable chance (about ten percent) that the curvature in our universe is well above the value expected from cosmic variance. Anthropic selection does not strongly select for curvature as small as is observed (relative somewhat larger values), meaning the observational bound on curvature can be used to rule out landscape models that typically give too little inflation.
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