标题： 非线性量子宇宙学中的奇异性避免 显示英文标题

标题： Singularity Avoidance in Nonlinear Quantum Cosmology

摘要： 我们扩展了之前关于信息论启发的非线性修正对FRW宇宙在mini超空间方案中Wheeler-deWitt方程影响的研究。 首先，我们表明即使几何形状是双曲的，并且物质由宇宙常数给出，非线性仍然可以提供一个屏障来屏蔽初始奇点，就像在平直宇宙的情况下一样。 其次，在平直情况下，我们证明了在自由无质量标量场存在时，对于一大类初始未扰动的量子态，奇点规避在微扰意义上是可能的，这推广了我们之前使用高斯态的讨论。 显示英文摘要

摘要： We extend our previous study on the effects of an information-theoretically motivated nonlinear correction to the Wheeler-deWitt equation in the minisuperspace scheme for FRW universes. Firstly we show that even when the geometry is hyperbolic, and matter given by a cosmological constant, the nonlinearity can still provide a barrier to screen the initial singularity, just as in the case for flat universes. Secondly, in the flat case we show that singularity avoidance in the presence of a free massless scalar field is perturbatively possible for a very large class of initially unperturbed quantum states, generalising our previous discussion using Gaussian states.