论文标题

封闭系统的量子力学中的时间以及初始条件和最终条件,例如宇宙

Arrows of Time and Initial and Final Conditions in the Quantum Mechanics of Closed Systems Like the Universe

论文作者

Hartle, James B.

论文摘要

模型量子宇宙学用于说明如何由时间不对称的初始和最终边界条件约束的宇宙中的箭头出现,该理论是如何由初始密度和最终密度矩阵表示的。在量子宇宙中,时间箭头的时间是通过适当粗糙的粒子历史集的概率来描述的,例如生长或衰减的熵。我们表明,这些模板的这些历史集的要求意味着两件事:(1)初始条件和最终条件之间的时间不对称,这是箭头时间的基础。 (2)与单位密度矩阵成正比的最终密度矩阵表示的最终冷漠状态与因果关系一致,并允许比任何其他最终状态对模型宇宙的更细粒度描述。

A model quantum cosmology is used to illustrate how arrows of time emerge in a universe governed by a time-neutral dynamical theory constrained by time asymmetric initial and final boundary conditions represented by initial and final density matrices. In a quantum universe universe arrows of time are described by the probabilities of appropriately coarse grained sets of histories of quantities like entropy that grow or decay. We show that the requirement of that these sets of histories decohere implies two things: (1) A time asymmetry between initial and final conditions that is a basis for arrows ot time. (2) How a final state of indifference that is represented by a final density matrix proportional to the unit density matrix is consistent with causality, and allows a finer-grained description of the model universe in terms of decoherent histories than any other final state.

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