宇宙学测度论中的红外发散问题与人择推理
An Infrared Divergence Problem in the cosmological measure theory and the anthropic reasoning
摘要：
人择原理使我们有可能回答这样一个难题：为什么宇宙学常数的可观测值（$Λ\sim 10^{-47}$ GeV ${}^4$）与真空能量密度的预测值（$ρ_{SUSY}\sim 10^{12}$ GeV ${}^4$）相比，是如此令人不安的微小。不幸的是，这一论点还有更黑暗的一面，因为它导致了另一个荒谬的预测：对于随机选择的观察者，观察到值$Λ=0$的概率正好等于1。我们把这个争论称为红外发散问题。它表明，IRD预测可以避免与Linde-Vanchurin { \em奇异失控措施}的帮助下，加上相对贝叶斯概率的计算，通过{ \em末日参数}。此外，它示出，虽然IRD问题发生的{ \em预测阶段}的$Λ$值，它消失在{ \em解释阶段}时，$Λ$已经测量的观察者。
英文摘要：
An anthropic principle has made it possible to answer the difficult question of why the observable value of cosmological constant ($Λ\sim 10^{-47}$ GeV${}^4$) is so disconcertingly tiny compared to predicted value of vacuum energy density $ρ_{SUSY}\sim 10^{12}$ GeV${}^4$. Unfortunately, there is a darker side to this argument, as it consequently leads to another absurd prediction: that the probability to observe the value $Λ=0$ for randomly selected observer exactly equals to 1. We'll call this controversy an infrared divergence problem. It is shown that the IRD prediction can be avoided with the help of a Linde-Vanchurin {\em singular runaway measure} coupled with the calculation of relative Bayesian probabilities by the means of the {\em doomsday argument}. Moreover, it is shown that while the IRD problem occurs for the {\em prediction stage} of value of $Λ$, it disappears at the {\em explanatory stage} when $Λ$ has already been measured by the observer.
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。
