论文标题
自举牛顿重力中的量子黑洞
Quantum black holes in bootstrapped Newtonian gravity
论文作者
论文摘要
我们根据量子相干状态分析了由球形对称来源产生的自举牛顿电位的经典配置。我们首先计算这些溶液的质量和平均波长如何根据相干状态的量子数来尺度。然后，我们注意到，ADM质量与源的适当质量之间的经典关系自然产生了量子理论中重力半径大小的普遍不确定性原理。质量和波长量表与此GUP的一致性需要紧凑度仍然是最多的，即使对于黑洞，也需要恢复红球预测，因此恢复了量化的预测，其定量的地平线面积根据相干状态下的量子数量表示。我们的发现对于分析物质存在和避免紧凑型来源重力崩溃中的奇异性的重力的经典作用可能很有用。
We analyse the classical configurations of a bootstrapped Newtonian potential generated by homogeneous spherically symmetric sources in terms of a quantum coherent state. We first compute how the mass and mean wavelength of these solutions scale in terms of the number of quanta in the coherent state. We then note that the classical relation between the ADM mass and the proper mass of the source naturally gives rise to a Generalised Uncertainty Principle for the size of the gravitational radius in the quantum theory. Consistency of the mass and wavelength scalings with this GUP requires the compactness remains at most of order one even for black holes, and the corpuscular predictions are thus recovered, with the quantised horizon area expressed in terms of the number of quanta in the coherent state. Our findings could be useful for analysing the classicalization of gravity in the presence of matter and the avoidance of singularities in the gravitational collapse of compact sources.
