AI 中文总结
研究从类比引力视角探讨 AMPS 悖论，通过转录论点到声子辐射，得出声学防火墙概念，虽未解决信息悖论，但给出可证伪预测，即特定微分声子量热法信号在玻色 - 爱因斯坦凝聚体类比佩奇时间后出现。
AI 中文摘要
量子纠缠的一夫一妻制，由阿尔姆黑里 - 马罗夫 - 波钦斯基 - 萨利（AMPS）应用于黑洞，在佩奇时间之后阻碍了平滑的视界真空。我们将此论点转录到昂鲁声学度规中来自声视界的霍金类声子辐射。一个精确的纯度恒等式表明，佩奇时间之后的幺正性迫使出射声子与其内部伙伴之间的纠缠消失，选择了一个非哈达玛（类似博尔韦尔）的声子态，我们将其定义为声学防火墙。其重整化应力张量与平滑态的差异在于一个恒定的、负的近视界通量，并且用静态量热计测量，它去除的热大气能量密度在朝着视界的径向坐标中以$(\delta r)^{-2}$增长（在自由落体参考系中奇异），在愈合长度处截止。该构造是运动学的，并未解决信息悖论；它给出了一个具体的、可证伪的预测：微分声子量热法信号$\mathcal{R}(\delta r)=|\Delta\mathcal{E}|/\mathcal{E}^{(0)}\to(\ell_\kappa/\delta r)^{2}$，仅在玻色 - 爱因斯坦凝聚体中的类比佩奇时间之后出现。
英文摘要
The monogamy of quantum entanglement, applied by Almheiri-Marolf-Polchinski-Sully (AMPS) to black holes, obstructs a smooth horizon vacuum after the Page time. We transcribe this argument to Hawking-like phonon radiation from a sonic horizon in the Unruh acoustic metric. An exact purity identity shows that post-Page-time unitarity forces the entanglement between an outgoing phonon and its interior partner to vanish, selecting a non-Hadamard (Boulware-like) phonon state, which we define as an acoustic firewall. Its renormalized stress tensor differs from the smooth state by a constant, negative near-horizon flux, and the thermal-atmosphere energy density it removes, measured by a static calorimeter, grows as $(δr)^{-2}$ in the radial coordinate toward the horizon (singular in the free-fall frame), cut off at the healing length. The construction is kinematic and does not resolve the information paradox; it yields one concrete, falsifiable prediction: a differential phonon-calorimetry signal $\mathcal{R}(δr)=|Δ\mathcal{E}|/\mathcal{E}^{(0)}\to(\ell_κ/δr)^{2}$, present only after the analogue Page time in a Bose-Einstein condensate.
CommentsCombined Letter and Supplemental Material (8 pages, 6 figures, 1 table). v2: references added, affiliation of S.N.A. updated. Submitted to Phys. Rev. Lett. Code and data: Zenodo, doi:10.5281/zenodo.21269544
