论文标题
重力奇异性的单位性和量子分辨率
Unitarity and quantum resolution of gravitational singularities
论文作者
论文摘要
我们探讨了要求重力理论是统一的后果,主要集中在简单的宇宙学模型上以说明要点。我们表明,在有限时间遇到经典奇异性的时钟的单位性意味着量子奇异性分辨率,但是对于在有限时间遇到未来无穷大的时钟会导致量子的回落。然后,我们发现我们的起点 - 假设一般相对论的一般协方差 - 实际上与一般量子单位性不相容:量子重力中的奇异性分辨率始终可以通过选择正确的时钟来设计,或者通过使用不同的时钟来避免。
We explore the consequences of requiring that quantum theories of gravity be unitary, mostly focusing on simple cosmological models to illustrate the main points. We show that unitarity for a clock that encounters a classical singularity at finite time implies quantum singularity resolution, but for a clock that encounters future infinity at finite time leads to a quantum recollapse. We then find that our starting point - assuming the general covariance of general relativity - is actually incompatible with general quantum unitarity: singularity resolution in quantum gravity can always be engineered by choosing the right clock, or avoided by using a different one.