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Four-volume cutoff measure of the multiverse

机译:多层的四批截止量度

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Predictions in an eternally inflating multiverse are meaningless unless we specify the probability measure. The scale-factor cutoff is perhaps the simplest and most successful measure which avoids catastrophic problems such as the youngness paradox, runaway problem, and Boltzmann brain problem, but it is not well defined in contracting regions with a negative cosmological constant. In this paper, we propose a new measure with properties similar to the scale-factor cutoff which is well-defined everywhere. The measure is defined by a cutoff in the four volume spanned by infinitesimal comoving neighborhoods in a congruence of timelike geodesics. The probability distributions for the cosmological constant and for the curvature parameter in this measure are similar to those for the scale-factor cutoff and are in a good agreement with observations.
机译:除非我们指定概率措施,否则永恒膨胀的多层次的预测是毫无意义的。 缩小因素截止可能是最简单和最成功的措施,避免了灾难性问题,例如悖论悖论,失控问题和博尔兹曼脑问题,但在具有负宇宙常数的收缩区域中没有很好地定义。 在本文中,我们提出了一种新的措施,属性类似于无处不在地定义的比例因子截止。 该措施由四个卷中的截止来定义,该卷跨在时间般的地理学的同时跨越邻域。 该措施中宇宙常数和曲率参数的概率分布与规模因子截止的概率分布类似,并且与观察结果良好。

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