论文标题
因果关系和分支切割宇宙学的时间箭头
Causality and the Arrow of Time in the Branch-Cut Cosmology
论文作者
论文摘要
我们将对时间箭头的初步分析基于量子系统的时间演化运算符与时间无关的密度运算符之间的关系,该密度算子描述了在温度$ t $的许多粒子系统的平衡状态。通过此分析,我们突出显示了分支切割复合物宇宙外形的假想时间成分与时间参数在全球流动或时间箭头的方向的鉴定。作为一种新颖性,在这项工作中,我们计算了分支切割宇宙中的分支数量,以实现涉及宇宙进化的全局时间和每个哈勃地平线周围光线旅行的当地时间的因果关系。在FLRW宇宙量表因子$ a(t)$中,获得的初步结果与在弹跳模型中获得的因果关系相当。
We basis our initial analysis of the arrow of time on a relationship between the time evolution operator of quantum system and the time-independent density operator which describes the equilibrium state of a many-particle system at temperature $T$. We highlight through this analysis the identification of the imaginary temporal component of the branch-cut complex cosmic form factor with the direction in which the time-parameter flows globally, or the arrow of time. As a novelty, in this work we calculate the number of branches in the branch-cut universe to achieve causality involving the global time of evolution of the universe and the local time of travel of the light around each Hubble horizon. The preliminary result obtained is comparable to 60 e-folds of contraction in the FLRW cosmic scale factor $a(t) $ to overcome causality achieved in the bouncing model.