Cosmic censorship protects the outside world from black hole singularities and paves the way for assigning entropy to gravity at the event horizons. We point out a tension between cosmic censorship and the quantum backreacted geometry of Schwarzschild black holes, induced by vacuum polarization and driven by the conformal anomaly. A similar tension appears for the Weyl curvature hypothesis at the Big Bang singularity. We argue that the requirement of exact conformal symmetry resolves both conflicts and has major implications for constraining the set of fundamental constituents of the Standard Model.

中文翻译：

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黑洞、共形对称性和基本场

宇宙审查制度保护外界免受黑洞奇点的影响，并为在事件视界将熵分配给引力铺平了道路。我们指出了宇宙审查制度与史瓦西黑洞的量子反反应几何结构之间的张力，这是由真空极化引起并由共形异常驱动的。大爆炸奇点处的外尔曲率假说也出现了类似的张力。我们认为，精确共形对称的要求解决了这两个冲突，并且对于限制标准模型的基本成分集具有重大影响。