加密封锁
Cryptographic Censorship
AI总结：
该研究提出‘加密封锁’定理，证明在双生CFT中若时间演化近似伪随机，则必须存在事件视界，从而为宇宙灾难猜想提供充分条件保障。
摘要：
我们提出了并朝着证明量子弱宇宙灾难猜想的版本迈出了两大步。我们首先证明了“加密封锁”：一个定理表明，当一个双生CFT的时间演化算符在某些编码子空间上近似伪随机（或Haar随机）时，则在对应的双生对偶中必须存在一个事件视界。这一结果提供了一个通用条件，保证在有限时间内形成事件视界，且对全局时空结构的假设最少。我们的定理依赖于最近一个量子学习不可能定理的扩展，并通过新的伪随机度量集中技术证明。为了将此结果应用于宇宙灾难，我们将奇点分为经典、半普朗克和普朗克类型。我们说明经典和半普朗克奇点与近似伪随机CFT时间演化是兼容的；因此，如果此类奇点确实近似伪随机，则根据加密封锁，它们在没有事件视界的情况下无法存在。这一结果提供了一个充分条件，保证了关于量子混沌和热化的开创性双生结果，其一般适用性依赖于视界典型性，不会因AdS/CFT中裸奇点的形成而被推翻。
英文摘要：
We formulate and take two large strides towards proving a quantum version of the weak cosmic censorship conjecture. We first prove "Cryptographic Censorship": a theorem showing that when the time evolution operator of a holographic CFT is approximately pseudorandom (or Haar random) on some code subspace, then there must be an event horizon in the corresponding bulk dual. This result provides a general condition that guarantees (in finite time) event horizon formation, with minimal assumptions about the global spacetime structure. Our theorem relies on an extension of a recent quantum learning no-go theorem and is proved using new techniques of pseudorandom measure concentration. To apply this result to cosmic censorship, we separate singularities into classical, semi-Planckian, and Planckian types. We illustrate that classical and semi-Planckian singularities are compatible with approximately pseudorandom CFT time evolution; thus, if such singularities are indeed approximately pseudorandom, by Cryptographic Censorship, they cannot exist in the absence of event horizons. This result provides a sufficient condition guaranteeing that seminal holographic results on quantum chaos and thermalization, whose general applicability relies on typicality of horizons, will not be invalidated by the formation of naked singularities in AdS/CFT.
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