论文标题
普兰克高空曲面，通货膨胀和弹跳
Planckian hypersurfaces, inflation and bounces
论文作者
论文摘要
当几何形状的标量和张量模式的不同波长均分配在同一空格的超声表面上时，仅当仅在加速膨胀的阶段且对应量张量与标量比受到严格约束时，光谱的最大放大频率仍然小于Planck质量。在通货膨胀开始时，所有不同的波长都可以在相同的太空高表面上初始化，但是这种策略和相关结论仅对于经典不均匀性是合理的。我们认为，只要量子场的不同波长越过相应的普朗克高空铺面，就可以很容易地逃避一整类的潜在约束。在这种情况下，模式函数的cauchy数据取决于波数，因此较大的波长开始发展，而较短的波长则稍后分配。在此策略中，常规通货膨胀阶段的持续时间和相应的张量比不受限制，但大规模功率光谱继承了特定的大规模校正，这些校正仍然无法观察。
When the different wavelengths of the scalar and tensor modes of the geometry are all assigned on the same space-like hypersurface the maximally amplified frequencies of the spectrum remain smaller than the Planck mass only if the duration of a stage of accelerated expansion and the corresponding tensor to scalar ratio are severely constrained. All the different wavelengths can be initialized on the same space-like hypersurface at the onset of inflation but this strategy and the related conclusions are plausible only for classical inhomogeneities. We argue that a whole class of potential constraints is easily evaded provided the different wavelengths of the quantum fields are assigned as soon as they cross the corresponding Planckian hypersurfaces. In this case the Cauchy data for the mode functions depend on the wavenumber so that larger wavelengths start evolving earlier while shorter wavelengths are assigned later. Within this strategy the duration of a conventional inflationary phase and the corresponding tensor to scalar ratio are not constrained but the large-scale power spectra inherit specific large-scale corrections that remain however unobservable.
