Consider a non-stationary extension of black hole solutions to the quantum-extended (one-loop GR) system of Einstein–Maxwell equations with a complex scalar field. Important representatives of these solutions are non-stationary rotating black holes located inside the active galactic nuclei. Computing the local energy density of a freely falling observer one finds, upon appropriate boundary conditions, the trans-Planckian leap of the local energy density near the event horizons. Thus, one locates a “Firewall”, which, on one hand, serves as a source of fluxes of ultra-high-energy cosmic rays out of the active galactic nuclei, and, on the other hand, is originally designed to resolve the Hawking paradox in black hole physics.

中文翻译：

---

一圈引力黑洞附近的量子飞跃

考虑黑洞解的非平稳扩展到具有复杂标量场的Einstein-Maxwell方程的量子扩展（单环GR）系统。这些解决方案的重要代表是位于活动星系核内部的非平稳旋转黑洞。计算自由下落的观测器的局部能量密度，可以在适当的边界条件下，找到事件视界附近局部能量密度的跨普朗克跃迁。因此，人们找到了一个“防火墙”，该防火墙一方面用作超高能宇宙射线从活动星系原子核中流出的来源，另一方面，它最初旨在解决霍金问题。黑洞物理学中的悖论。