AI 中文总结
该研究通过双标度SYK模型的平直空间极限提出超冷RNdS黑洞的量子描述,引入伸缩子势次领头阶修正打破Hagedorn简并,利用正弦伸缩子引力提出超冷黑洞近视界动力学新量子化方案,得到与冷物理、Nariai物理不同的配分函数非微扰低温行为,可动态实现量子系统的宇宙监督。
AI 中文摘要
我们通过双标度SYK模型的特定平直空间极限,提出了超冷Reissner-Nordström de Sitter黑洞的量子描述。该区域的涨落简化为平直JT引力,而JT引力作为量子系统表现不佳。我们证明,对伸缩子势引入首个次领头阶修正会打破领头阶Hagedorn简并,但无法解决结构问题。最后,我们利用规范化的正弦伸缩子引力模型的描述,提出了超冷黑洞近视界动力学的新量子化方案,这产生了配分函数的新构想,其中谱渐近区域的态会被动态抑制,且出现离散时空的特征。我们得到了配分函数的非微扰低温行为,其与冷物理和Nariai物理截然不同,该结果可被解释为在量子系统上实现宇宙监督的一种动态方式。
英文摘要
We propose a quantum description of the ultracold Reissner-Nordström de Sitter black hole via a specific flat space limit of the double-scaled SYK model. Fluctuations in this regime reduce to flat JT gravity, which is ill-behaved as a quantum system. We show that including the first subleading correction to the dilaton potential breaks the leading order Hagedorn degeneracy but does not resolve the structural problem. Finally, we leverage the gauged description of the sine dilaton gravity model to propose a novel quantization of the near-horizon dynamics of ultracold black holes. This leads to a new proposal for the partition function where states in the asymptotics of the spectrum are suppressed dynamically, and features of a discretized spacetime arise. We obtain a non-perturbative low temperature behavior of the partition function, which is quite different than the cold and Nariai physics. Our result can be interpreted as a dynamical way to enforce cosmic censorship on the quantum system.
Comments45 pages