论文标题
大爆炸量子真空吸尘器的Hadamard和边界条件
Hadamard and boundary conditions for the Big Bang quantum vacuum
论文作者
论文摘要
一般相对论可以预测黑洞内的最终类型奇异性以及宇宙学初始类型的奇异性。宇宙审查制度可保护外部观察者免受黑洞奇异的侵害，而彭罗斯的Weyl曲率假设可以保护初始（大爆炸）奇异性的平滑度。我们通过假设一个非常早期的辐射主导的宇宙并在分析上将膨胀因子扩展到保形时间的负值，从而讨论了Weyl曲率假设的简单实现。我们在大爆炸处强加时间逆转条件，以表征自然的一组首选真空状态，以量化量化物质字段。我们实施围绕大爆炸获得哈达马州的低能状态的处方。我们还探讨了这些真空对宇宙暗物质生产的物理意义。
General relativity predicts final-type singularities inside black holes, as well as a cosmological initial-type singularity. Cosmic censorship protects external observers from black hole singularities, while Penrose's Weyl curvature hypothesis protects the smoothness of the initial (Big Bang) singularity. We discuss a simple realization of the Weyl curvature hypothesis by assuming a very early radiation-dominated universe and analytically extending the expansion factor to negative values of conformal time. We impose time-reversal conditions at the Big Bang to characterize a natural set of preferred vacuum states for quantized matter fields. We implement the prescription of States of Low Energy constructed around the Big Bang obtaining Hadamard states. We also explore the physical implications of these vacua for cosmological dark matter production.
