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arXiv 2406.04397hep-thgr-qc
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宇宙学折返效应 II

The Cosmological Switchback Effect II

Stefano Baiguera, Rotem Berman

AI总结:

该研究针对受冲击波扰动的史瓦西-德西特几何,分析复杂度=体积与复杂度=作用量猜想,证明折返效应是渐近德西特空间复杂度猜想的普遍特征,拓展了此前的相关研究范围。

摘要:

静态块全息理论的最新进展提出,德西特空间中的量子引力可以用宇宙视界附近类时表面上的量子力学理论来进行对偶描述。与此同时,有研究认为与黑洞背景下爱因斯坦-罗森桥相关的几何可观测量可用于计算引力理论对偶态的计算复杂度。在本工作中,我们研究了在有限边界时间插入冲击波扰动的史瓦西-德西特几何中的复杂度=体积猜想与复杂度=作用量猜想。这一分析拓展了此前仅聚焦于复杂度=体积2.0猜想,或是仅研究沿宇宙视界插入冲击波情形的相关工作。我们证明,描述复杂度演化受扰动后出现延迟的折返效应,是渐近德西特空间中各类复杂度猜想的普遍特征。该现象的几何起源与在几何中注入正零能脉冲时,德西特空间各静态块之间的因果关联有关。

英文摘要:

Recent developments in static patch holography proposed that quantum gravity in de Sitter space admits a dual description in terms of a quantum mechanical theory living on a timelike surface near the cosmological horizon. In parallel, geometric observables associated with the Einstein-Rosen bridge of a black hole background were suggested to compute the computational complexity of the state dual to a gravitational theory. In this work, we pursue the study of the complexity=volume and complexity=action conjectures in a Schwarzschild-de Sitter geometry perturbed by the insertion of a shockwave at finite boundary times. This analysis extends previous studies that focused either on the complexity=volume 2.0 conjecture, or on the case of a shockwave inserted along the cosmological horizon. We show that the switchback effect, describing the delay in the evolution of complexity in reaction to a perturbation, is a universal feature of the complexity proposals in asymptotically de Sitter space. The geometric origin of this phenomenon is related to the causal connection between the static patches of de Sitter space when a positive pulse of null energy is inserted in the geometry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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