arXiv 1108.06652011-08-02hep-thastro-ph.COgr-qchep-phquant-ph

永恒暴胀、全球时间截止测度和概率Paradox

Eternal Inflation, Global Time Cutoff Measures, and a Probability Paradox

Alan H. Guth, Vitaly Vanchurin

备注：: 32 pages, 10 figures, 1 table

摘要：

在永恒膨胀的宇宙中，概率的定义需要一个尺度来调节无限大的时空体积，而当前的许多文献都使用全局时间截止来实现这一目的。这样的措施已被发现导致自相矛盾的行为，最近布索，Freivogel，Leichenauer和Rosenhaus认为，在合理的假设下，对这些措施的唯一一致的解释是，时间必须在截止点结束。在这里，我们认为，有一个替代的，一致的制定这样的措施，其中时间延伸到无穷大。我们的公式从无限多元宇宙的数学模型开始，它可以在不使用测量的情况下构建。服从概率测度的所有标准要求的概率可以由数学极限来定义。然而，它们有一个特殊的特征，我们称之为时间延迟偏差：如果一个实验的结果是以一个依赖于结果的时间延迟报告的，那么报告的观察结果将偏向于更短的时间延迟。我们展示了如何在这种解释的措施可以解决的悖论。

英文摘要：

The definition of probabilities in eternally inflating universes requires a measure to regulate the infinite spacetime volume, and much of the current literature uses a global time cutoff for this purpose. Such measures have been found to lead to paradoxical behavior, and recently Bousso, Freivogel, Leichenauer, and Rosenhaus have argued that, under reasonable assumptions, the only consistent interpretation for such measures is that time must end at the cutoff. Here we argue that there is an alternative, consistent formulation of such measures, in which time extends to infinity. Our formulation begins with a mathematical model of the infinite multiverse, which can be constructed without the use of a measure. Probabilities, which obey all the standard requirements for a probability measure, can then be defined by mathematical limits. They have a peculiar feature, however, which we call time-delay bias: if the outcome of an experiment is reported with a time delay that depends on the outcome, then the observation of the reports will be biased in favor of the shorter time delay. We show how the paradoxes can be resolved in this interpretation of the measure.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文